Влияние электрон-электронного взаимодействия на транспорт в низкоразмерных электронных системах и наноструктурах
Диссертация
Для того, чтобы найти зависимость Схх и Сху от температуры, применим хорошо известный метод уравнения Каллана-Симанчика. В нём предполагается, что измеряемая физическая наблюдаемая, которая, вообще говоря, есть функция переменых 1, дхх, аху, и Тг не зависит от длины свободного пробега, на которой определены величины ахх = ст’хх (1) и &-ху = &-ху (1) 36- Заметим, что, как видно из уравнения… Читать ещё >
Содержание
- 1. Влияние спиновых и изоспиновых степеней свободы на переход металл-изолятор в двумерной сильно-коррелированной неупорядоченной электронной системе
- 1. 1. Введение
- 1. 1. 1. Переход металл-изолятор в неупорядоченной электронной системе
- 1. 1. 2. Постановка задачи
- 1. 2. Нелинейная сигма-модель
- 1. 2. 1. Введение
- 1. 2. 2. Действие нелинейной сигма-модели
- 1. 2. 3. Физические наблюдаемые
- 1. 2. 4. Однопетлевая перенормировка
- 1. 2. 5. Уравнения репормализационной группы в одиопетлевом приближении
- 1. 3. Взаимное влияние спина и долинного изоспина в двумерной неупорядоченной электронной жидкости
- 1. 3. 1. Введение
- 1. 3. 2. Микроскопический гамильтониан
- 1. 3. 3. Уравнения реиормгруппы в одиопетлевом приближении: ??/(4) симметричный случай
- 1. 3. 4. Уравнения реиормгруппы в одиопетлевом приближении: случай симметрии 5С/(2) х в и (2)
- 1. 3. 5. Уравнения реиормгруппы в одиопетлевом приближении: полностью несимметричный случай
- 1. 3. 6. Обсуждение результатов
- 1. 4. Двумерная неупорядоченная электронная жидкость в двойной квантовой
- 1. 4. 1. Введение
- 1. 4. 2. Микроскопический гамильтониан
- 1. 4. 3. Уравнения реиормализациоипой группы в однопетлевом приближении
- 1. 4. 4. Время сбоя фазы
- 1. 4. 5. Обсуждение результатов и сравнение с экспериментом
- 1. 5. Переход Андерсона в неупорядоченной бесспиновой электронной жидкости
- 1. 5. 1. Введение
- 1. 5. 2. Уравнения реиормализационной группы в однопетлевом приближении
- 1. 5. 3. Вычисление проводимости в двухпетлевом приближении
- 1. 5. 4. Обсуждение результатов
- 1. 1. Введение
Список литературы
- P. W. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109, 1492 (1958).
- N. F. Mott, W. D. Twose. The theory of impurity conduction. Adv. in Phys. 10, 107 (1961).
- J. Frohlich. F. Martineiii, E. Scoppola, Т. Spencer, Constructive proof of localization in the Anderson tight binding model, Commun. Math. Phys. 101, 21 (1985).
- D. J. Thouless, Electrons in disordered systems and the theory of localization, Phys. Rep. 13, 93 (1974).
- E. Abrahams. P. W. Anderson, D. C. Licciardello, Т. V. Ramakrishnan, Scaling theory of localization: Absence of quantum diffusion in two dimensions, Phys. Rev. Lett. 42. 673 (1979).
- Jl. П. Горьков, А. И. Ларкин, Д. E. Хмельницкий, Проводимость частицы в двумерном случайном потенциале. Письма в ЖЭТФ 30, 248 (1979).
- Е. Abrahams, Т. V. Ramakrishnan, Scaling theory of localization and non-ohmic effects in two-dimensions. J. Non-Cryst. Solids 35, 15 (1980).
- F. Wegner, Electrons in disordered systems. Scaling near the mobility edge, Z. Phys. В 25. 327 (1976).
- A. 3. Паташинский, В. Л. Покровский, Флуктуационная теория фазовых переходов, Наука, Москва, 1975.
- D. J. Amit, Field theory, renormahzation group, and critical phenomena, (World Scientific, 1984).
- J. Zinn-Justin, Quantum field theory and critical phenomena. (University Press, 1989).
- F. Wegner, The mobility edge problem: continuous symmetry and a conjecture, Z. Phys. В 35. 207 (1979).
- L. Schafer. F. Wegner, Disordered system withn orbitale per site. Lagrange formulation, hyperbolic symmetry, and goldstone modes, Z. Phys. В 38, 113 (1980).
- К. Б. Эфетов, А. И. Ларкин, Д. Е. Хмельницкий, Взаимодействие диффузионных мод в теории локализации, ЖЭТФ 79, 1120 (1980).
- К. Jiingling, R. Oppermann, Effects of spin interactions in disordered electronic systems: Loop expansions and exact relations among local gauge invariant models, Z. Phys. В 38, 93 (1980).
- A. J. McKane, M. Stone. Localization as an alternative to Goldstone’s theorem, Ann. Phys. (N.Y.) 131, 36 (1981).
- К. Б. Эфетов, Метод суперсимметрии в теории локализации, ЖЭТФ 82, 872 (1982).
- В. JI Березинский, Кинетика квантовой частицы в одномерном случайном потенциале, ЖЭТФ 65. 1251 (1973).
- P. A. Lee, Т. V. Ramakrishnan. Disordered electronic systems. Rev Mod. Phys. 57, 287 (1985).
- К. B. Efetov, Supersymmetry and theory of disordered metals, Adv. Phys. 32. 53 (1983): Supersymmetry in Disorder and Chaos, (Cambridge University Press. 1997).
- E. P. Wigner. On a Class of Analytic Functions from the Quantum Theory of Collisions. Ann. Math. 53. 36 (1951).
- F. J. Dyson, Statistical Theory of the Energy Levels of Complex Systems. I, J. Math. Phys. 3, 140 (1962).
- F. J. Dyson, The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics, J. Math. Phys. 3, 1199 (1962).
- M. R. Zirnbauer. Riemannian symmetric superspaces and their origin in random-matrix theory, J. Math. Phys. 37, 4986 (1996).
- A. Altland, M. R. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures. Phys. Rev. В 55, 1142 (1997).
- P. Heinzner, A. Huckleberry, M. R. Zirnbauer, Symmetry Classes of Disordered Fermions, Commun. Math. Phys. 257, 725 (2005).
- E. Brezin, S. Hikami. J. Zinn-Justin, Generalized non-linear o-models with gauge mvariance, Nucl. Phys. В 165, 528 (1980)
- H. Levine, S.В. Libby, A.M.M. Pruisken, Electron delocalization by a magnetic field in two dimensions, Phys. Rev. Lett. 51, 1915 (1983).
- A. M. M. Pruisken, On localization in the theory of the quantized Hall effect: a two-dimensional realization of the в-vacuum, Nucl. Phys. В 235, 277 (1984).
- A. M. M. Pruisken, in The Quantum Hall Effect, eds. R. E. Prange and S. M. Girvin (Springer, 1987), p. 117.
- A. P. Schnyder, S. Ryu, A. Furusaki, A. W. W. Ludwig, Classification of topological insulators and superconductors in three spatial dimensions, Phys. Rev. В 78, 195 125 (2008).
- A. P. Schnyder, S. Ryu, A. Furusaki, A. W. W. Ludwig, Classification of Topological Insulators and Superconductors, AIP Conf. Proc. 1134, 10 (2009).
- A. Yu. Kitaev, Periodic table for topological insulators and superconductors, AIP Conf. Proc. 1134, 22 (2009).
- F. Wegner, Inverse participation ratio in 2 + e dimensions, Z. Phys. В 36, 209 (1980).
- С. Castellani, L. Peliti, Multifractal wavefunction at the localisation threshold, J. Phys. A 19, L429 (1986).
- В. E. Кравцов, И. В. Лериер, Неустойчивость однопараметрической ренормализа-ционной группы в задаче локализации, ЖЭТФ 88 1281 (1985).
- A. D. Mirlin, Statistics of energy levels and eigenfunctions in disordered systems, Phys. Rep. 326, 259 (2000).
- A. D. Mirlin, F. Evers, Anderson Transitions, Rev. Mod. Phys. 80, 1355 (2008).
- Special issue: 50 years of Anderson localization, Int. J. Mod. Phys. В 24, Nos. 12&13 (2010).
- M. Lopez, J.-F. Clement, P. Szriftgiser, J. C. Garreau, D. Delande. Experimental Test of Universality of the Anderson Transition, Phys. Rev. Lett. 108, 95 701 (2012).
- D. J. Thouless, Maximum metallic resistance in thin wires, Phys. Rev. Lett. 39. 1167 (1977).
- E. Abrahams, P. W. Anderson, Т. V. Ramakrishnan, Possible explanation of non-linear conductivity in thm-film metal wires, Phys. Rev. Lett. 43, 718 (1979).
- B. L. Altshuler, A. G. Aronov, D. E. Khmelnitsky, Effects of electron-electron collisions with small energy transfers on quantum localisation, J. Phys. С 15, 7367 (1982).
- A. Schmid, On the dynamics of electrons in an impure metal, Z. Phys. В 271, 251 (1974).
- Б Л. Альтшулер. А. Г. Аронов, Затухание одноэлектронных возбуждений в металлах, Письма в ЖЭТФ 30, 514 (1979).
- Ya. М. Blanter. Electron-electron scattering rate in disordered mesoscopic systems, 54. 12 807 (1996).
- L. Fleishman, P. W. Anderson. Interactions and the Anderson transition, Phys. Rev. В 21, 2366 (1980).
- I. V. Gornyi, A. D. Mirlin. D. G. Polyakov. Interacting electrons in disordered wires: Anderson localization and low-T transport, Phys. Rev. Lett. 95, 206 603 (2005).
- D. M. Basko, I. L. Aleiner. B. L. Altshuler, Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states. Ann. Phys. (N.Y.) 321. 1126 (2006).
- Б. Jl. Альтшулер, А. Г. Аронов, К теории неупорядоченных металлов и сильнолегированных полупроводников, ЖЭТФ 77, 2028 (1979).
- В. L. Altshuler. A. G. Aronov. P. A. Lee. Interaction effects in disordered Fermi systems in two dimensions. Phys. Rev. Lett. 44, 1288 (1980).
- G Zala, B. N. Narozhny, I. L. Aleiner, Interaction corrections at intermediate temperatures: Longitudinal conductivity and kinetic equation, Phys. Rev. В 64 214 204 (2001).
- В. L. Altshuler, A. G. Aronov. in Electron-Electron Interactions in Disordered Conductors, ed. A.J. Efros and M. Pollack. Elsevier Science Publishers. North-Holland. 1985.
- W. L. McMillan. Scaling theory of the metal-insulator transition in amorphous materials, Phys. Rev. В 24, 2739 (1981).
- A. M. Финкельштейи, Влияние кулоновского взаимодействия на свойства неупорядоченных металлов, ЖЭТФ 84, 168 (1983).
- А. М. Финкельштейи, О частотной и температурной зависимости проводимости вблизи перехода металл-изолятор, Письма в ЖЭТФ 37, 436 (1983).
- А. М. Финкельштейи, Спиновые флуктуации в неупорядоченных системах вблизи перехода металл-изолятор, Письма в ЖЭТФ 40, 63 (1984).
- А. М. Финкельштейи, О переходе металл-изолятор в неупорядоченной системе, ЖЭТФ 86, 367 (1984).
- С. Castellani, С. Di Castro, P. A. Lee, M. Ma, Interaction-driven metal-insulator transitions in disordered fermion systems, Phys. Rev. В 30, 527 (1984).
- С. Castellani, С. Di Castro, P. A. Lee, M. Ma, S. Sorella, E. Tabet, Spin fluctuations m disordered interacting electrons, Phys. Rev. В 30, 1596 (1984).
- A. M. Finkelstein. Weak localization and Coulomb interaction m disordered systems, Z. Phys. В 56, 189 (1984).
- A. M. Finkelstein, Electron liquid in disordered conductors, vol. 14 of Soviet Scientific Reviews, ed. by I. M. Khalatnikov, Harwood Academic Publishers, London, (1990).
- D. Belitz, T. R. Kirkpatrick, The Anderson-Mott transition, Rev. Mod. Phys. 66, 261 (1994).
- L. Dell’Anna. Disordered d-wave superconductors with interactions, Nucl. Phys. В 758, /255 (2006).
- T. Ando, A. B. Fowler, F. Stern, Electronic properties of two-dimensional systems, Rev. Mod. Phys. 54, 437 (1982).
- S. V. Kravchenko, G. V. Kravchenko, J. E. Furneaux. V. M. Pudalov, M. D’lorio, Possible metal-insulator transition at B=0 in two dimensions, Phys. Rev. В 50, 8039 (1994).
- S.V. Kravchenko, W.E. Mason, G.E. Bowker, J.E. Furneaux, V.M. Pudalov, M. D'Iorio, Scaling of an anomalous metal-insulator transition in a two-dimensional system in silicon at B=0, Phys. Rev. В 51, 7038 (1995).
- D.A. Knyazev, O.E. OmeFyanovskii, V.M. Pudalov, I.S. Burmistrov, Metal-insulator transition in two dimensions: Experimental test of the two-parameter scaling, Phys. Rev. Lett. 100. 46 405 (2008).
- E. Abrahams. S. V. Kravchenko, M. P. Sarachik, Metallic behavior and related phenomena m two dimensions, Rev. Mod. Phys. 73. 251 (2001).
- E.Jl. Шаигина, В. Т. Долгополов, Квантовые фазовые переходы в двумерных системах, УФН 173. 801 (2003).
- S.V. Kravchenko, М. P. Sarachik, Metal-insulator transition in two-dimensional electron systems, Rep. Prog. Phys 67, 1 (2004).
- А. А. Шашкин. Переходы металл-диэлектрик и эффекты электрон-электронного взаимодействия в двумерных электронных системах, УФН 175, 139 (2005).
- В.Ф. Гантмахер. В. Т. Долгополов. Квантовые фазовые переходы ''локализованные-делокализованные электроны", УФН 178, 3 (2008).
- D. Simoman, S. V. Kravchenko, М. P. Sarachik, and V. М. Pudalov, Magnetic field suppression of the conducting phase in two dimensions, Phys. Rev. Lett. 79, 2304 (1997).
- S. A. Vitkalov, K. James, B. N. Narozhny. M. P. Sarachik. Т. M. Klapwijk, Inplane magnetoconductivity of Si MOSFETs: A quantitative comparison of theory and experiment, Phys. Rev. В 67. 113 310 (2003).
- V.M. Pudalov, M.E. Gershenson, H. Kojima. G. Brunthaler, A. Prinz. G. Bauer.1.teraction effects in conductivity of Si inversion layers at intermediate temperatures, Phys. Rev. Lett. 91. 126 403 (2003).
- D. A. Knyazev, О. E. Omel’yanovskii, V. M. Pudalov, I. S. Burmistrov. Critical behavior of transport and magnetotransport in 2D electron system in Si in the vicinity of the metal-insulator transtion, Письма в ЖЭТФ 84, 780 (2006).
- J. Yoon, С. С. Li. D. Shahar, D. C. Tsui, M. Shayegan, Parallel magnetic field induced transition in transport in the dilute two-dimensional hole system m GaAs, Phys. Rev. Lett. 84, 4421 (2000).
- A. Punnoose, A. M. Finkelstein, Metal-insulator transition in disordered two-dimensional electron systems, Science 310, 289 (2005).
- A. Punnoose, A. M. Finkelstein, Dilute electron gas near the metal-insulator transition: Role of valleys in silicon inversion layers, Phys. Rev. Lett. 88, 16 802 (2001).
- S. Anissimova, S. V. Kravchenko, A. Punnoose, A. M. Finkel’stein, Т. M. Klapwijk, Flow diagram of the metal-insulator transition in two dimensions, Nature Phys. 3, 707 (2007).
- A. Yu. Kuntsevich, N. N. Klimov, S. A. Tarasenko, N. S. Averkiev, V. M. Pudalov. H. Kojima, M. E. Gershenson, Intervalley scattering and weak localization m Si-based two-dimensional structures, Phys. Rev. В 75, 195 330 (2007).
- N. N. Klimov, D. A. Knyazev, О. E. Omelyanovskii, V. M. Pudalov, H. Kojima, M. E. Gershenson, Interaction effects in conductivity of a two-valley electron system in high-mobihty Si inversion layers, Phys. Rev. В 78, 195 308 (2008).
- M. Shayegan, E. P. De Poortere, O. Gunawan, Y. P. Shkolnikov, E. Tutuc, and K. Vakili, Two-dimensional electrons occupying multiple valleys in AlAs, Phys. Stat. Sol.(b) 243, 3629 (2006).
- O. Gunawan, Y. P. Shkolnikov, K. Vakili, T. Gokmen, E. P. De Poortere, M. Shayegan, Valley susceptibility of an interacting two-dimensional electron system, Phys. Rev. Lett. 97, 186 404 (2006).
- O. Gunawan, T. Gokmen, K. Vakili, M. Padmanabhan, E. P. De Poortere, M. Shayegan, Spm-valley phase diagram of the two-dimensional metal-insulator transition, Nature Phys. 3, 388 (2007).
- I. S. Burmistrov, N. M. Chtchelkatchev, Cross-over behavior of disordered interacting two-dimensional electron systems in a parallel magnetic field, Письма в ЖЭТФ 84, 775 (2006).
- T. J. Gramila, J. P. Eisenstein, A. H. MacDonald, L. N. Pfeiffer, K. W. West, Mutual friction between parallel two-dimensional electron systems, Phys. Rev. Lett. 66, 1216 (1991).
- U. Sivan, P. M. Solomon, H. Shtrikman, Coupled electron-hole transport, Phys. Rev. Lett. 68, 1196 (1992).
- M. P. Lilly, J. P. Eisenstein, L. N. Pfeiffer, K. W. West, Coulomb drag in the extreme quantum limit, Phys. Rev. Lett. 80, 1714 (1998).
- R. Pillarisetty, Hwayong Noh, D. C. Tsui, E. P. De Poortere, E. Tutuc, M. Shayegan, Frictional drag between two dilute two-dimensional hole layers, Phys. Rev. Lett. 89, 16 805 (2002).
- M. Kellog, J. P. Eisenstein, L. N. Pfeiffer, K. W. West, Vanishing Hall resistance at high magnetic field in a double-layer two-dimensional electron system, Phys. Rev. Lett. 93, 36 801 (2004).
- E. Tutuc, M. Shayegan, D. A. Huse, Counterflow measurements in strongly correlated GaAs hole bilayers: Evidence for electron-hole pairing, Phys. Rev. Lett. 93, 36 802 (2004).
- J. P. Eisenstein, A. H. MacDonald, Bose-Einstein condensation of excitons in bilayer electron systems, Nature 432, 691 (2004).
- G. S. Boebinger, H. W. Jiang, L. N. Pfeiffer, K. W. West, Magnetic-field-driven destruction of quantum Hall states in a double quantum well, Phys. Rev. Lett. 64, 1793 (1990).
- A. Sawada, Z. F. Ezawa, H. Ohno, Y. Horikoshi, Y. Ohno, S. Kishimoto, F. Matsukura, M. Yasumoto, A. Urayama, Phase transition in the v = 2 bilayer quantum Hall state, Phys. Rev. Lett. 80, 4534 (1999).
- V. S. Khrapai, E. V. Deviatov, A. A. Shashkin, V. T. Dolgopolov, F. Hastreiter, A. Wixforth, K. L. Campman, A. C. Gossard, Canted antiferromagnetic phase in a double quantum well in a tilted quantizing magnetic field, Phys. Rev. Lett. 84, 725 (2000).
- G. M. Minkov, A. V. Germanenko, O. E. Rut, O. I. Khrykin, V. I. Shashkin, V. M. Daniltsev, Inter-well transitions and negative magnetoresistance in double-quantum-well heterostructures, Nanotechnology 11, 406 (2000).
- I. R. Pagnossin, A. K. Meikap, T. E. Lamas, G. M. Gusev, J. C. Portal, Anomalous dephasmg scattering rate of two-dimensional electrons m double quantum well structures, Phys. Rev. В 78, 115 311 (2008).
- G. M. Minkov, A. V. Germanenko, 0. E. Rut, A. A. Sherstobitov, A. K. Bakarov, D. V. Dmitriev. Dephasmg and mterwell transitions m double quantum well heterostructures, Phys. Rev. В 82, 165 325 (2010).
- G. M. Minkov, A. V. Germanenko, О. E. Rut, A. A. Sherstobitov, A. K. Bakarov, D. V. Dmitriev, Interaction correction to conductivity of AlxGa-xAs/GaAs double quantum well heterostructures near the balance, Phys. Rev. В 84, 07−5337 (2011) .
- A. Kamenev, A. Levchenko, Keldysh technique and non-linear a-model: basic principles and applications, Adv. Phys. 58, 197 (2009).
- A. M. M. Pruisken, M. A. Baranov, B. Skoric, (Mis-)handling gauge invariance in the theory of the quantum Hall effect. I. Unifying action and the и = ½ state, Phys. Rev. В 60, 16 807 (1999).
- С. Castellani, С. Di Castro, Effective Landau theory for disordered interacting electron systems: Specific-heat behavior, Phys. Rev. В 34, 5935 (1986).
- A. Kamenev, A. Andreev. Electron-electron interactions in disordered metals: Keldysh formalism, Phys. Rev. В 60, 2218 (1999).
- A. M. M. Pruisken, M. A. Baranov, I. S. Burmistrov, Non-Fermi liquid theory of the quantum Hall effects, Письма в ЖЭТФ 82, 166 (2005).
- M. A. Baranov, A. M. M. Pruisken, B. Skoric, (Mis-)handling gauge invariance m the theory of the quantum Hall effect. II. Perturbative results, Phys. Rev. В 60, 16 821 (1999).
- A.M. Polyakov, Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields, Phys. Lett. В 59, 79 (1975).
- Б. Jl. Альтшулер, А. Г. Аронов, А. И. Ларкин, Д. E. Хмельницкий, Аномальное магнитосопротивление в полупроводниках, ЖЭТФ 81, 768 (1981).
- Б. Л. Альтшулер, А. Г. Аронов, Магнетосопротивление тонких пленок в продольном магнитном поле и проволок, Письма в ЖЭТФ 33, 515 (1981).
- B. L. Altshuler, D. E. Khmel’nitzkii, A. I. Larkin, P. A. Lee. Magnetoresistance and Hall effect in a disordered two-dimensional electron gas, Phys. Rev. B 22, 5142 (1982).
- I.S. Burmistrov, I.V. Gornyi, K.S. Tikhonov, Disordered electron liquid in double quantum well heterostructures: Renormalization group analysis and dephasmg rate, Phys.Rev.B 84, 75 338 (2011).
- S. Brener, S. V. Iordanski, A. Kashuba, Possible Jahn-Teller effect m Si inverse layers. Phys. Rev. B 67, 125 309 (2003).
- M. O. Nestoklon, L. E. Golub, E. I. Ivchenko, Spin and valley-orbit splittings m SiGe/Si heterostructures, Phys. Rev. B 73, 235 334 (2006).
- I.S. Burmistrov. N.M. Chtchelkatchev. Spin-valley interplay m two-dimensional disordered electron liquid, Phys. Rev. B 77, 195 319 (2008).
- A. Punnoose. A. M. Finkel’stein, A. Mokashi, S. V. Kravchenko, Test of scaling theory in two dimensions in the presence of valley splitting and mtervalley scattering in Si-MOSFETs, Phys. Rev. B 82, 201 308® (2010).
- A. Punnoose, Renormalization group study of mtervalley scattering and valley splitting in a two-valley system. Phys. Rev. B 81. 35 306 (2010).
- A. Punnoose. Renormalization group study of a two-valley system with spin-splitting. Phys. Rev. B 82. 115 310 (2010).
- L.D. Landau. E.M. Lifshitz, Quantum mechanics, Course of Theoretical Physics, vol 3. Pergamon, 1991.
- Lian Zheng. A. H. MacDonald. Coulomb drag between disordered two-dimensional electron-gas layers. Phys. Rev. B 48, 8203 (1993).
- A. Kamenev, Y. Oreg, Coulomb drag m normal metals and superconductors. Diagrammatic approach, Phys. Rev. B 52, 7516 (1995).
- K. Flensberg, B. Yu-Kuang-Hu, A.-P. Jauho, J.M. Kinaret, Linear-response theory of Coulomb drag in coupled electron systems, Phys. Rev. B 52, 14 761 (1995).
- I. V. Gornyi, A. G Yashenkin, D. V. Khveshchenko, Coulomb drag m double layers with correlated disorder, Phys. Rev. Lett. 83, 152 (1999).
- В. N. Narozhny, G. Zala, I. L. Aleiner, Interaction corrections at intermediate temperatures: Dephasmg time, Phys. Rev. В 65, 180 202 (2002).
- M. A. Baranov, I. S. Burmistrov, A. M. M. Pruisken, Non-Fermi-hquid theory for disordered metals near two dimensions, Phys. Rev. В 66, 75 317 (2002).
- S. Hikami., Phys. Lett. В 98, 208 (1981).
- S. Hikami, Isomorphism and the (3-function of the non-linear a model in symmetric spaces, Nucl. Phys. В 215, 555 (1983).
- W. Bernreuther. F. J. Wegner, Four-loop-order ?3-function for two-dimensional nonlinear sigma models. Phys. Rev. Lett. 57, 1383 (1986).
- Ю. А. Бычков. Квантовая теория электропроводности металлов в сильных магнитных полях, ЖЭТФ, 39. 689 (1960).
- Т. Ando. Y. Uemura, Theory of quantum transport in a two-dimensional electron system under magnetic fields. I. Characteristics of level broadening and transport under strong fields. J. Phys. Soc. Japan 36, 959 (1974).
- T. Ando, Theory of quantum transport in a two-dimensional electron system under magnetic fields. II. Single site approximation under strong fields. J. Phys. Soc. Japan 36. 1521 (1974).
- T. Ando. Theory of quantum transport in a two-dimensional electron system under magnetic fields. III. Many-site approximation, J. Phys. Soc. Japan 37, 622 (1974).
- T. Ando, Theory of quantum transport in a two-dimensional electron system under magnetic fields. IV. Oscillatory conductivity, J. Phys. Soc. Japan 37. 1233 (1974).
- T. Ando, Y. Matsumoto. Y. Uemura, Theory of Hall effect in a two-dimensional electron system, J. Phys. Soc. Japan 39. 279 (1975).
- L. Smrcka, P. Streda, Transport coefficients in strong magnetic field, J. Phys. C: Solid State Phys. 10, 2153 (1977).
- Э. M. Баскии, JI. И. Магрилл. М. В. Эитин, Двумерная электрон-примесная система в сильном магнитном поле, ЖЭТФ 75. 723 (1978)
- K. von Klitzing, G. Dorda, M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett. 45, 4 941 980).
- D. C. Tsui, A. C. Gossard, Resistance standard using qunatization of the Hall resistance of GaAs-AlcGai-xAs heterostructures, Appl. Phys. Lett. 38, 550 (1981).
- D. C. Tsui, H.L. Stormer, A. C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit, Phys. Rev. Lett. 48, 1559 (1982).
- J. P. Eisenstein, H. L. Stormer, The fractional quantum Hall effect, Science 248, 1510 (1990).
- R. B. Laughlin, Quantized motion of three two-dimensional electrons in a strong magnetic field, Phys. Rev. B 27, 3383(1983).
- R. B. Laughlin, Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations, Phys. Rev. Lett. 50. 1395 (1983).
- The Quantum Hall Effect, eds. R. E. Prange and S. M. Girvin (Springer, 1987).
- T. Chakraborty, P. Pietilainen, The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer Series in Solid-State Sciences), (Springer, 1988).
- O. Heinonen (Ed.), Composite Fermions, (World Scientific, 1998).
- H. Aoki, T. Ando, Effect of localization on the hall conductivity in the two-dimensional system in strong magnetic fields, Solid State Commun. 38, 1079 (1981).
- R. E. Prange, Quantized Hall resistance and the measurement of the fine-structure constant, Phys. Rev. B 23, 4802 (1981).
- R. B. Laughlin, Quantized Hall conductivity in two dimensions, Phys. Rev. B 23, 56 321 981).
- D. J. Thouless, Localisation and the two-dimensional Hall effect, J. Phys. C: Solid State Phys. 14, 3475 (1981).
- B. I. Halperin, Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential, Phys. Rev. B 25, 2185 (1982).
- D. J. Thouless, M. Kohmoto, M. P. Nightingale, M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential, Phys. Rev. Lett. 49, 405 (1982).
- J. E. Avron, R. Seiler, B. Simon, Homotopy and Quantization in Condensed Matter Physics, Phys. Rev. Lett. 51, 51 (1983).
- А. А. Белавии, A. M. Поляков, Метастабилъные состояний двумерного изотропного ферромагнетика, Письма в ЖЭТФ 22, 503 (1975).
- И. Б. Хригшович, Функции Грина в теориях с неабелевой калибровочной группой, Ядер. Физ. 10, 409 (1969).
- D. J. Gross, F. Wilczek, Ultraviolet behavior of non-Abelian gauge theories, Phys. Rev. Lett. 30, 1343 (1973).
- H. D. Politzer, Reliable perturbative results for strong interactions, Phys. Rev. Lett. 30, 1346 (1973).
- A. A. Belavin, A. M. Polyakov, A. S. Schwartz, Yu. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. В 59, 85 (1975).
- С. G. Callan, Jr., R. Dashen, D. J. Gross, The structure of the gauge theory vacuum, Phys. Lett. В 63, 334 (1976).
- R. Jackiw, C. Rebbi, Vacuum, periodicity in a Yang-Mills quantum theory, Phys. Rev. Lett. 37, 8 (1976).
- G. 't Hooft, Symmetry breaking through Bell-Jackiw anomalies, Phys. Rev. Lett. 37, 8 (1976).
- G. :t Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle, Phys. Rev. D 14, 3432 (1976).
- C. G. Callan, Jr., R. Dashen, D. J. Gross, Towards a theory of the strong interactions, Phys. Rev. D 17, 2717 (1978).
- D. J. Gross, R. D. Pisarski, L. G. Yaffe, QCD and instantons at finite temperature, Rev. Mod. Phys. 53, 43 (1981).
- А. И. Вайнштейн, В. И. Захаров, В. А. Новиков, М. А. Шифмаи, Инстантонная азбука, УФН 136, 553 (1982).
- D. Diakonov, Topology and confinement, Nucl.Phys. Proc.Suppl. 195, 5 (2009).
- E. Vicari, H. Panagopolous, в dependence of SU (N) gauge theories m the presence of topological term, Phys. Rep. 470, 93 150 (2009).
- S. Coleman, Aspects of Symmetry, University Press, (Cambridge, 1989).
- Д. E. Хмельницкий, О квантовании холловской проводимости, Письма в ЖЭТФ 38, 454 (1983).
- Н. Levine, S. В. Libby, А. М. М. Pruisken, Theory of the quantized Hall effect (I), Nucl. Phys. В 240, 30 (1984).
- H. Levine, S. B. Libby, A. M. M. Pruisken, Theory of the quantized Hall effect (II), Nucl. Phys. В 240, 49 (1984).
- H. Levine, S. B. Libby, A. M. M. Pruisken, Theory of the quantized Hall effect (III), Nucl. Phys. В 240, 71 (1984).
- H. Levine, S. B. Libby, Renormalization of the в angle, the quantum Hall effect and the strong CP problem, Phys. Lett. В 150, 182 (1985).
- A.M.M. Pruisken, Dilute mstanton gas as the precursor of the integer quantum Hall effect, Phys. Rev. В 32, 2636 (1985).
- A. M. M. Pruisken, Quasiparticles in the theory of the integral quantum Hall effect (I), Nucl. Phys. В 285, 719 (1987).
- A. M. M. Pruisken, Quasiparticles m the theory of the integral quantum Hall effect (II). Renormalization of the Hall conductance or mstanton angle theta, Nucl. Phys. В 290, 61 (1987).
- В. Г. Книжник, А. Ю. Морозов, О перенормировке топологического заряда, Письма в ЖЭТФ 39, 202 (1984).
- А. М. М. Pruisken, М. A. Baranov, М. Voropaev, The large N theory exactly reveals the quantum Hall effect and theta-renormalization, http://arxiv.org/abs/cond-mat/101 003.
- Wan Li, Transport study on two-dimensional electrons with controlled short-range alloy disorder, PhD Thesis, Princeton University 2007.
- A. M. M. Pruisken, Universal singularities in the integral quantum Hall effect, Phys. Rev. Lett. 61, 1297 (1988).
- H. P. Wei, D. C. Tsui, M. A. Palaanen, A. M. M. Pruisken, Experiments on derealization and universality in the integral quantum Hall effect. Phys. Rev. Lett. 61, 1294 (1988).
- H. P. Wei, S. W. Hwang. D. C. Tsui, A.M.M. Pruisken, New results on scaling in the integral quantum Hall effect, Surf. Science 229, 34 (1990).
- L. W. Engel, D. Shahar, Q. Kurdak, D. C. Tsui, Microwave frequency dependence of integer quantum Hall effect: Evidence for finite-frequency scaling, Phys. Rev. Lett. 71, 2638 (1993).
- L. W. Engel, D. Shahar, Q. Kurdak, D. C. Tsui, Observation of finite-frequency scaling in the integer quantum Hall effect, Surf. Science 305, 124 (1994).
- F. Hohls, U. Zeitler, R. J. Haug, R. Meisels, K. Dybko. F. Kuchar, Dynamical Scaling of the Quantum Hall Plateau Transition, Phys. Rev. Lett. 89, 36 802 (2002).
- F. Hohls, G. Sukhodub, R. J. Haug, Dynamics of electronic transport in the integer quantum Hall regime, Phys. Stat. Sol. B 245, 309 (2008).
- S. Koch, R. J. Haug, I. v. Klitzing, I. Ploog, Size-dependent analysis of the metal-insulator transition in the integral quantum Hall effect, Phys. Rev. Lett. 67, 883 (1991).
- S. Koch, R. J. Haug, K. v. Klitzing, K. Ploog, Direct measurement of critical exponents m the quantum Hall regime, Surf. Science 263, 108 (1992).
- S. Koch, R. J. Haug, K. v. Klitzing, K. Ploog, Experimental studies of the localization transition in the quantum Hall regime, Phys. Rev. B 46, 1596 (1992).
- W. Li, C. L. Vicente, J. S. Xia, W. Pan, D. C. Tsui, L. N. Pfeiffer, K. W. West, Scaling in plateau-to-plateau transition: A direct connection of quantum Hall systems with the Anderson localization model, Phys. Rev. Lett. 102, 216 801 (2009).
- H. P. Wei, L. W. Engel, D. C. Tsui, Current scaling in the integer quantum Hall effect, Phys. Rev. B 50, 14 609 (1994).
- Ed. Chow, H. P. Wei, Experiments on inelastic scattering in the integer quantum Hall effect, Phys. Rev. B 52, 13 749 (1995).
- H. Scherer, L. Schweitzer, F. J. Ahlers, L. Bliek, R. Losch W. Schlapp, Current scaling and electron heating between integer quantum Hall plateaus in GaAs/AlxGaixAs heterostructures, Semicond. Sci. Technol. 10, 959 (1995).
- S. Koch, R. J. Haug, K. v. Klitzing, K. Ploog, Experiments on scaling in AlxGa-xAs/GaAs hetero structures under quantum Hall conditions, Phys. Rev. B 43, 6828 (1991).
- H. P. Wei, S. Y. Lin, D. C. Tsui, A.M.M. Pruisken, Effect of long-range potential fluctuations on scaling in the integer quantum Hall effect, Phys. Rev. B 45, 3926 (1992).
- L. A. Ponomarenko, D. T. N. de Lang, A. de Visser, V. A. Kubalchinskii, G. B. Galiev. H. Kiinzel, A. M. M. Pruisken, The effect of carrier density gradients on magnetotransport data measured in Hall bar geometry, Solid State Commun. 130, 705 (2004).
- A. M. M. Pruisken, D. T. N. de Lang, L. A. Ponomarenko, A. de Visser, Universal scaling results for the plateau-insulator transition in the quantum Hall regime, Sol. State Commun. 137, -540 (2006).
- W. Li, G. A. Csathy, D. C. Tsui, L. N. Pfeiffer, K. W. West, Scaling and universality of integer quantum Hall plateau-to-plateau transitions, Phys. Rev. Lett. 94, 206 807 (2005).
- W. Li, J. S. Xia, C. Vicente, N. S. Sullivan, W. Pan D. C. Tsui, L. N. Pfeiffer, K. W. West, Crossover from the nonuniversal scaling regime to the universal scaling regime in quantum Hall plateau transitions, Phys. Rev. B 81, 33 305 (2010).
- M. Tsukada, On the tail states of the Landau subbands in MOS structures under strong magnetic field, J. Phys. Soc. Jpn. 41, 1466 (1976).
- S. V. Iordansky, On the conductivity of two-dimensional electron m a strong magnetic field, Solid State Commun. 43, 1 (1982).
- R. F. Kazarinov, S. Luryi, Quantum percolation and quantization of Hall resistance in two-dimensional electron gas, Phys. Rev. B 25, 7626 (1982).
- R. E. Prange, R. Joynt, Conduction m a strong field m two dimensions: The quantum Hall effect, Phys. Rev. В 25. 2943 (1982).
- S. A. Trugman, Localization, percolation, and the quantum Hall effect. Phys. Rev. В 27. 7539 (1983).
- H. A. Fertig, Semiclassical description of a two-dimensional electron in a strong magnetic field and an external potential. Phys. Rev. В 38, 996 (1988).
- Г. В. Милышков, И. M. Соколов, О квазиклассической локализации в магнитном поле, Письма в ЖЭТФ, 48, 494 (1988).
- J. Т. Chalker, P. D. Coddington, Percolation, quantum tunneling and the integer quantum Hall effect, J. Phys. C: Solid State Phys. 21, 2665 (1988).
- B. Huckestein. Scaling theory of the integer quantum Hall effect, Rev. Mod. Phys. 67, 357 (1995).
- R. B. Laughlin. Levitation of extended-state bands m a strong magnetic field, Phys. Rev. Lett. 52. 2304 (1984).
- D. E. Khmelnitskii. Quantum Hall effect and additional oscillations of conductivity m weak magnetic fields. Phys. Lett. A 106, 182 (1984).
- A. D. Mirlin, D. G. Polyakov. P. Wolfe, Composite Fermions m a Long-Range Random Magnetic Field¦ Quantum Hall Effect versus Shubnikov-de Haas Oscillations, Phys. Rev. Lett. 80. 2429 (1998).
- F. Evers, A. D. Mirlin, D. G. Polyakov. P. Wolfe. Semiclassical theory of transport m a random magnetic field, Phys. Rev. В 60. 8951 (1999).
- T. Ando. Electron Localization m a Two-Dimensional System in Strong Magnetic Fields. III. Impurity-Concentration Dependence and Level-Mixing Effects, J. Phys. Soc. Jpn. 53, 3126 (1984).
- T. V. Shahbazyan, M. E. Raikh, Weak Levitation of 2D Delocalized States in a Magnetic Field, Phys. Rev. Lett. 75, 304 (1995).
- V Kagalovsky, B. Horovitz, Y. Avishai, Landau-level mixing and extended states m the quantum Hall effect, Phys. Rev. В 52. 17 044 (1995).
- F. D. M. Haldane, K. Yang, Landau Level Mixing and Levitation of Extended States in Two Dimensions, Phys. Rev. Lett. 78, 298 (1997).
- M. M. Fogler, Quasiclassical approach to the weak levitation of extended states in the quantum Hall effect, Phys. Rev. В 57, 11 947 (1998).
- Th. Koschny, L. Schweitzer, Levitation of quantum Hall critical states in a lattice model with spatially correlated disorder, Phys. Rev. В 67, 195 307 (2003).
- Th. Koschny, L. Schweitzer, Levitation of the quantum Hall extended states in the В —> 0 limit, Phys. Rev. В 70, 165 301 (2004).
- V. V. Mkhitaryan, V. Kagalovsky, M. E. Raikh, Weakly chiral networks and two-dimensional delocalized states in a weak magnetic field, Phys. Rev. В 81, 165 426 (2010).
- M. D’lorio, V. M. Pudalov, S. G. Semenchinsky, Magnetic field induced transitions between quantized hall and insulator states in a dilute 2D electron gas, Phys. Lett. A 150, 422 (1990).
- V. T. Dolgopolov, G. V. Kravchenko, A. A. Shashkin, S. V. Kravchenko, Metal-insulator transition in Si inversion layers in the extreme quantum limit, Phys. Rev. В 46, 13 303 (1992).
- A. A. Shashkin, G. V. Kravchenko, V. T. Dolgopolov, Floating up of the extended states of Landau levels in a two-dimensional electron gas in silicon MOSFET’s, Письма в ЖЭТФ 58, 215 (1993).
- A. A. Shashkin, V. T. Dolgopolov, G. V. Kravchenko, Insulating phases in a two-dimensional electron system of high-mobility Si MOSFET’s, Phys. Rev. В 49, 14 486 (1994).
- S. V. Kravchenko, W. Mason, J. E. Furneaux, V. M. Pudalov, Global Phase Diagram for the Quantum Hall Effect: An Experimental Picture, Phys. Rev. Lett. 75, 910 (1995).
- S. C. Dultz, H. W. Jiang, W. J. Schaff, Absence of floating delocalized states in a two-dimensional hole gas, Phys. Rev. В 58, R7532 (1998).
- M. Hilke, D. Shahar, S. H. Song, D. C. Tsui, Y. H. Xie, Phase diagram of the integer quantum Hall effect in p-type germanium, Phys. Rev. В 62, 6940 (2000).
- M. Schneider, D. A. Bagrets, A. D. Mirlin, Theory of the nonequihbrium electronic Mach-Zehnder mterferom, Phys. Rev. B 84, 75 401 (2011).
- S. N. Dinh, D. A. Bagrets, Influence of Coulomb interaction on the Aharonov-Bohm effect in an electronic Fabry-Perot interferometer, Phys. Rev. B 85, 73 403 (2012).
- I. P. Levkivskyi, E. V. Sukhorukov, Energy relaxation at quantum Hall edge, Phys. Rev. B 85, 75 309 (2012).
- A. M. M. Pruisken, M. A. Baranov, Cracking Coulomb interactions in the quantum Hall regime, Europhys. Lett. 31, 543 (1995).
- A. M. M. Pruisken, B. Skoric. M. A. Baranov, (Mis-)handling gauge mvariance in the theory of the quantum Hall effect. III. The mstanton vacuum and chiral-edge physics, Phys. Rev. B 60, 16 838 (1999).
- B. Skoric, A. M. M. Pruisken, The fractional quantum Hall effect: Chern-Simons mapping, duality. Luttmger liquids and the mstanton vacuum, Nucl. Phys. B 559, 637 (1999).
- D-H. Lee. Z. Wang, Effects of electron-electron interactions on the integer quantum Hall transitions, Phys. Rev. Lett. 76, 4014 (1996).
- S.-R. E. Yang, A. H. MacDonald, Coulomb gaps in a strong magnetic field, Phys. Rev. Lett. 70, 4110 (1993).
- Ch. Sohrmann, Interactions in the integer quantum Hall effect, PhD Thesis, University of Warwick, 2007.
- R. A. Romer, Ch. Sohrmann, Hartree-Fock interactions in the integer quantum Hall effect, Phys. Stat. Sol. (b) 245, 336 (2008).
- S.-R. E. Yang, A. H. MacDoanld, B. Huckestein, Interactions, localization, and the integer quantum Hall effect, Phys. Rev. Lett. 74, 3229 (1995).
- V. M. Apalkov, M. E. Raikh, Interplay of short-range interactions and quantum interference near the integer quantum Hall transition, Phys. Rev. B 68, 195 312 (2003).
- Z. Wang, M. P. A. Fisher, S. M. Girvin, J. T. Chalker, Short-range interactions and scaling near integer quantum Hall transitions, Phys. Rev. B 61, 8326 (2000).
- S. S. Murzin, A. G. M. Jansen, I. Claus, Topological oscillations of the magnetoconductance m disordered GaAs layers, Phys. Rev. Lett. 92, 16 802 (2004) — S. S. Murzin, A. G. M. Jansen, Murzin and Janssen reply, Phys. Rev. Lett. 95, 189 702 (2005).
- M. И. Монастырский. Топология калибровочных полей и конденсированных сред. Москва: ПАИМС. 1995.
- А. М. М. Pruisken, I. S. Burmistrov, The mstanton vacuum of generalized СpN~l models. Ann. of Phys. (N.Y.) 316. 285 (2005).
- W. Pauli, F. Villars, On the invariant regularization in relatwistic quantum theory, Rev. Mod. Phys. 21. 434 (1949).
- A. M. M. Pruisken, I. S. Burmistrov, в renormalization. electron-electron interactions and super universality m the quantum Hall regime, Ann. of Phys. (N.Y.) 322, 1265 (2007).
- T. R. Morris, D. A. Ross, С. T. Sachrajda, Higher-order quantum corrections in the presence of an mstanton background field, Nucl Phys. В 255. 115 (1985).
- Т. R. Morris, D. A. Ross, С. T. Sachrajda, Instanton calculus and the (3- function in super symmetric Yang-Mills theories, Phys. Lett В 158, 223 (1985).
- Т. R. Morris. D. A. Ross, С. T. Sachrajda. Instantons and the renormahsation group in supersymmetric Yang-Mills theories, Nucl. Phys. В 264, 111 (1986).
- T. R. Morris, D. A. Ross, С. T. Sachrajda, Instantons. the beta-function and renormahsation scheme dependence, Phys. Lett. В 172, 40 (1986).
- A. M. M. Pruisken, I. S. Burmistrov. Non-Fermi liquid criticahty and super universality in the quantum Hall regime, Письма в ЖЭТФ 87, 252 (2008).
- К. Slevin, Т. Ohtsuki, Critical exponent for the quantum Hall transition, Phys. Rev. В 80, 41 304 (2009).
- A. M. M. Pruisken, I. S. Burmistrov, Comment on ''Scaling m plateau-plateau transition: A direct connection of quantum Hall systems with Anderson localization model", http://arxiv.org/abs/0907.0356 .
- E. Abrahams. P.W. Anderson, P.A. Lee, T.V. Ramakrishnan. Quasiparticle lifetime in disordered two-dimensional metals, Phys. Rev. В 24. 6783 (1981).
- I. S. Burmistrov, S. Bera, F. Evers, I. V. Gornyi, A. D. Mirlin, Wave function multifractahty and dephasmg at metal-insulator and quantum Hall transitions, Ann. of Phys. (N.Y) 326, 1457 (2011).
- S. Helgason, Groups and geometric analysis (Integral Geometry. Invariant Differential Operators and Spherical Functions), (American Mathematical Society. 2000).
- D. Hof, F. Wegner, Calculation of anomalous dimensions for the nonlinear sigma model, Nucl. Phys. В 275, 561 (1986).
- F. Wegner, Anomalous dimensions for the nonlinear sigma-model. in 2 + e dimensions1., Nucl. Phys. В 280, 193 (1987).
- F. Wegner, Anomalous dimensions for the nonlinear sigma-model, in 2 + e dimensions1.), Nucl. Phys. В 280, 210 (1987).
- A.M.M. Pruisken, Participation ratio in the nonlinear a-model representation of localization, Phys. Rev. В 31, 416 (1985).
- F. W. Van Keuls, X. L. Ни. H. W. Jiang. A. J. Dahm, Screening of the Coulomb interaction in two-dimensional variable-range hopping, Phys. Rev. В 56, 1161 (1997).
- Б. JI. Альтшулер, Флуктуации остаточной проводимости неупорядоченных проводников, Письма в ЖЭТФ 41, 530 (1985).
- P. A. Lee, A. D. Stone, Universal conductance fluctuations in metals, Phys. Rev. Lett. 55, 1622 (1985).
- Б. Л. Альтшулер, В. E. Кравцов, И. В. Лериер. Статистика мезоскопических флуктуаций и неустойчивость однопараметрического скейлинга, ЖЭТФ 91, 2276 (1986).
- М. Н. Cohen, A.M.M. Pruisken, Mesoscopic block models for macroscopic conductances, Phys. Rev. В 49, 4593 (1994).
- A. M. M. Pruisken, I. S. Burmistrov, Comment on «Topological oscillations of the magnetoconductance in disordered GaAs layersPhys. Rev. Lett. 95, 189 701 (2005).
- I. S. Burmistrov, в-renormalization. superunwersahty. and electron-electron interactions in the theory of the quantum Hall effect, PhD Thesis, University of Amsterdam, (PrintPartners Ipskamp, Enschede 2006).
- J. M. Rowell, L. Y. L. Shen, Zero-bias anomalies in normal metal tunnel junstions, Phys. Rev. Lett. 17, 15 (1966).
- I. Giaever, H. R. Zeller, Superconductivity of small tin particles measured by tunneling, Phys. Rev. Lett. 20, 1504 (1968).
- H. R. Zeller, I. Giaever, Tunneling, zero-bias anomalies, and small superconductors, Phys. Rev. 181, 789 (1969).
- J. Larnbe, R. C. Jaklevic, Charge-quantization studies using a tunnel capacitor, Phys. Rev. Lett. 22, 1371 (1969).
- F. Mezei, Theory of electron tunneling via real intermediate states, Phys. Rev. В 4, 3775 (1971).
- P. И. Шехтер, Нулевые аномалии сопротивления туннельного контакта, содержащего металлические включения в оксидном слое, ЖЭТФ 63, 1410 (1972).
- И. О. Кулик, Р. И. Шехтер, Кинетические явления и эффекты дискретности заряда в гранулированных средах, ЖЭТФ 68, 623 (1975).
- Т. A. Fulton, G. J. Dolan, Observation of single-electron charging effects in small tunnel junctions, Phys. Rev. Lett. 59, 109 (1987).
- P. Lafarge, H. Pothier, E. R. Williams, D. Esteve, C. Urbina, M. H. Devoret, Direct observation of macroscopic charge quantization, Z. Phys. В 85, 327 (1991).
- L. J. Geerligs, V. F. Anderegg, P. Holweg, J.E. Mooij, H. Pothier, D. Esteve, C. Urbina, M. H. Devoret, Frequency-locked turnstile device for single electrons, Phys. Rev. Lett. 64, 2691 (1990).
- H. Pothier, P. Lafarge, P. F. Orfila, C. Urbina, D. Esteve, M. H. Devoret, Single electron pump fabricated with ultrasmall normal tunnel junctions, Physica В 169, 573 (1991).
- The special issue on «Single charge tunneling Z. Phys. В 85, 317 (1991).
- Single Charge Tunneling, ed. by H. Grabert, M.H. Devoret (Plenum, New York, 1992).
- M. Bockrath, D. H. Cobden, P. L. McEuen, N. G. Chopra, A. Zettl, A. Thess, R. E. Smalley, Single-electron transport in ropes of carbon nanotubes, Science 275, 1922 (1997).
- S. J. Tans, M. H. Devoret, H. Dai, A. Thess, R. E. Smalley, L. J. Geerligs, C. Dekker, Individual single-wall carbon nanotubes as quantum wires, Nature 386, 474 (1997).
- E. С. Солдатов, В. В. Ханин, А. С. Трифонов, С. П. Губин, В. В. Колесов, Д. Е. Преснов, С. А. Яковенко, Г. Б. Хомутов, А. Н. Коротков, Молекулярный одноэлек-тронный транзистор, работающий при комнатной температуре, УФН 168, 217 (1998).
- P. L. McEuen, Е. В. Foxman, U. Meirav, М. А. Kastner, Y. Meir, N. S. Wingreen, S. J. Wind, Transport spectroscopy of a Coulomb island in the quantum Hall regime, Phys. Rev. Lett. 66, 1926 (1991).
- A. T. Johnson, L. P. Kouwenhoven, W. de Jong, N. C. van der Vaart, C. J. P. M. Harmans, С. T. Foxon, Zero-dimensional states and single electron charging in quantum dots, Phys. Rev. Lett. 69, 1592 (1992).
- C. Stampfer, J. Guettinger, F. Molitor, D. Graf, T. Ihn, К. Ensslin, Tunable Coulomb blockade in nanostructured graphene, Appl. Phys. Lett. 92, 12 102, (2008).
- L. Kouwenhoven, С. M. Marcus, Quantum Dots, Phys. World 11, 35 (1998).
- L. P. Kouwenhoven, С. M. Marcus, P.L. McEuen, S. Tarucha, R.M. Westervelt, N.S. Wingreen, Electron transport in quantum dots in Nato ASI conference proceedings, ed. by L. P. Kouwenhoven, G. Schon, and L.L. Sohn (Kluwer, Dordrecht, 1997).
- W. G. van der Wiel, S. De Franceschi, J. M. Elzerman, T. Fujisawa, S. Tarucha, L. P. Kouwenhoven, Electron transport through double quantum dots, Rev. Mod. Phys. 75, 1 (2002).
- R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, L. M. K. Vandersypen, Spins in few-electron quantum dots, Rev. Mod. Phys. 79, 1217 (2007).
- D. V. Averin, A. A. Odintsov, Macroscopic quantum tunneling of the electric charge in small tunnel junctions, Phys. Lett. A 140, 251(1989).
- D. V. Averin, Yu.V. Nazarov, Virtual electron diffusion during quantum tunneling of the electric charge, Phys. Rev. Lett. 65, 2446 (1990).
- L. I. Glazman, M. Pustilnik, Coulomb blockade and Kondo effect in quantum dots in New Directions in Mesoscopic Physics (Towards to Nanoscience, eds. R. Fazio, G. F. Gantmakher and Y. Imry (Kluwer, Dordrecht, 2003).
- C. Pasquier, Y. Meirav, F. I. B. Williams, D.C. Glattli, Y. Jin, and B. Etienne, Quantum limitation on Coulomb blockade observedin a 2D electron system, Phys. Rev. Lett. 70, 69 (1993).
- P. Joyez, V. Bouchiat, D. Esteve, C. Urbina, M.H. Devoret, Strong tunneling in single-electron transistor, Phys. Rev. Lett. 79, 1349 (1997).
- V. Ambegaokar, U. Eckern, G. Schon, Quantum dynamics of tunneling between superconductors, Phys. Rev. Lett. 48, 1745 (1982).
- T.-L. Ho, Effect of quantum voltage fluctuations on the resistance of normal junction, Phys. Rev. Lett. 51, 2060 (1983).
- E. Ben-Jacob, E. Mottola, G. Schon, Quantum shot noise in tunnel junctions, Phys. Rev. Lett. 51, 2064 (1983).
- G. Schon, Quantum shot noise in tunnel junctions, Phys. Rev. В 32, 4469 (1985).
- G. Schon, A.D. Zaikin, Quantum coherent effects, phase transitions, and the dissipative dynamics of ultra small tunnel junctions, Phys. Rep. 198, 237 (1990).
- К. А. Матвеев, Квантовые флуктуации заряда металлической частицы в условиях кулоновской блокады, ЖЭТФ 99, 1598 (1991).
- G. Goppert, Н. Grabert, Charge fluctutions in the single electron box, Phys. Rev. В 63, 125 307 (2001).
- H. Scholler, G. Schon, Mesoscopic quantum transport: Resonant tunneling in the presence of a strong Coulomb blockade, Phys. Rev. В 50, 18 436 (1994).
- D. S. Golubev, J. Konig, H. Schoeller, G. Schon, A. D. Zaikin, Strong electron tunneling through mesoscopic metallic grains, Phys. Rev. В 56, 15 782 (1997).
- G. Falci, G. Schon, G. T. Zimanyi, Tunneling in the electron box in the nonperturbative regime, Physica В 203, 409 (1994).
- G. Falci, G. Schon, G. T. Zimanyi, Unified scaling theory of the electron box for arbitrary tunneling strength, Phys. Rev. Lett. 74, 3257 (1995).
- С. E. Коршунов, Когерентное и некогерентное туннелирование в джозефсоновском контакте с «периодической «диссипацией, Письма в ЖЭТФ 45, 342 (1987).
- С. А. Булгадаев, О фазовой диаграмме джозефсоновского контакта с «периодической «диссипацией, Письма в ЖЭТФ 45, 486 (1987).
- S. A. Bulgadaev, The influence of the anisotropy on the phase diagram of the one-dimensional N-vector model with a long-range interaction, Phys. Lett. A 125, 299 (1987).
- F. Guinea, G. Schon, Dynamics and phase transitions of josephson junctions with dissipation due to quasiparticle tunneling, J. Low Temp. Phys. 69, 219 (1987).
- S. V. Panyukov. A. D. Zaikin, Coulomb blockade and nonperturbatwe ground-state properties of ultrasmall tunnel junctions, Phys. Rev. Lett. 67, 3168 (1991).
- X. Wang, H. Grabert, Coulomb charging at large conduction, Phys. Rev. В 53, 12 621 (1996).
- A. Altland. L. I. Glazman, A. Kamenev, J. S. Meyer, Inelastic electron transport in granular arrays, Ann. Phys. (N.Y.) 321, 2566 (2006).
- I. S. Beloborodov, К. B. Efetov, A. Altland, F. W. J. Hekking, Quantum interference and Coulomb interaction in arrays of tunnel junctions, Phys. Rev. В 63, 115 109 (2001).
- К. В. Efetov, A. Tschersich, Coulomb effects in granular materials at not very low temperatures, Phys. Rev. В 67, 174 205 (2003).
- I. S. Beloborodov, A. V. Lopatin, V. M. Vinokur, К. B. Efetov, Granular electronic systems, Rev. Mod. Phys. 79, 469 (2007).
- Yu. V. Nazarov, Coulomb blockade without tunnel junctions, Phys. Rev. Lett. 82, 1245 (1999).
- M. V. Feigelman, A. Kamenev, A. I. Larkin, M. A. Skvortsov, Weak charge quantization on a superconducting island, Phys. Rev. В 66, 54 502 (2002).
- S. L. Lukyanov, A. M. Tsvelik, A. B. Zamolodchikov, Paperclip at в = тг, Nucl. Phys. В 719, 103 (2005).
- S. L. Lukyanov, Ph. Werner, Universal scaling behavior of the single electron box in the strong tunneling limit, J. Stat. Mech. P11002 (2006).
- M. H. Devoret, D. Esteve. H. Grabert, G.-L. Ingold, H. Pothier, C. Urbina, Effect of the electromagnetic environment on the Coulomb blockade in ultrasmall tunnel junctions, Phys. Rev. Lett. 64, 1824 (1990).
- P. Joyez, D. Esteve, M. H. Devoret, Hou> is the Coulomb blockade suppressed in high-conductance tunnel junctions?, Phys. Rev. Lett. 80, 1956 (1998).
- S. M. Girvin, L. I. Glazman, M. Jonson, D. R. Penn, M. D. Stiles, Quantum fluctuations and the single-junction Coulomb blockade, Phys. Rev. Lett. 64, 3183 (1990).
- G.-L. Ingold, Yu. V. Nazarov, Charge tunneling rates in ultrasmall junctions, in Single Charge Tunneling, ed. by H. Grabert and M. H. Devoret (Plenum, New York, 1992)
- S. A. Bulgadaev, Topological quantization of current in quantum tunnel contacts, Письма в ЖЭТФ 83, 659 (2006).
- A. Kamenev, Yu. Gefen, Differences between statistical mechanics and thermodynamics on the mesoscopic scale, Phys. Rev. В 56, 1025 (1997).
- I. L. Kurland, I. L. Aleiner, B. L. Altshuler, Mesoscopic magnetization fluctuations for metallic grains close to the Stoner instability, Phys. Rev. В 62, 14 886 (2000).
- I. L. Aleiner, P.W. Brouwer, L. I. Glazman, Quantum effects in Coulomb blockade, Phys. Rep. 358, 309 (2002).
- W. Hofstetter, W. Zwerger, Single-electron box and the helicity modulus of an inverse square XY model, Phys. Rev. Lett. 78, 3737 (1997):
- I. S. Beloborodov, A. V. Andreev, A. I. Larkin, Two-loop approximation in the Coulomb blockade problem, Phys. Rev. В 68, 24 204 (2003).
- D. J. Thouless in: R. Balian, R. Maynard, G. Toulouse (Eds), Ill-condensed Matter, North-Holland/World Scientific, 1978, p.l.
- G. :t Hooft, Topology of the gauge condition and new confinement phases in non-abehan gauge theories, Nucl. Phys. В 190, 455 (1981).
- S. Drewes, D. P. Arovas, S. Renn, Quantum phase transitions in dissipative tunnel junctions, Phys. Rev. B 68, 165 345 (2003).
- I. S. Burmistrov, A. M. M. Pruisken, The problem of «macroscopic charge quantization» in single electron devices, Phys. Rev. B 81, 85 428 (2010).
- I. S. Burmistrov, A. M.M. Pruisken, Coulomb blockade and super universality of the theta-angle, Phys. Rev. Lett. 101, 56 801 (2008).
- G. D. Mahan, Many-particle physics, Plenum Press, N.Y. (1990).
- Ya. M. Blanter, Recent advances of studies of current noise, in CFN lectures on functional nanostructures, vol. 2 (eds. M. Vojta, Ch. Rothig, G. Schon), Springer (2011).
- Y. Imry, Introduction to Mesoscopic Physics (Oxford University. New York, 1997).
- G. B. Lesovik, R. Loosen, On the detection of finite frequency current fluctuations, rhicbMa b >K3TO 65, 280 (1997).
- R. Deblock, E. Onac, L. Gurevich, L. P. Kouwenhoven, Detection of quantum noise from an electrically driven two-level system, Science 301, 203 (2003).
- E. Onac, F. Balestro, B. Trauzettel, C. F. J. Lodewijk, L. P. Kouwenhoven, Shot-noise detection in a carbon nanotube quantum dot, Phys. Rev. Lett. 96, 26 803 (2006).
- W. W. Xue, Z. Ji, F. Pan, J. Stettenheim, M. P. Blencowe, A. J. Rimberg, Measurement of quantum noise in a single-electron transistor near the quantum limit, Nature Phys. 5, 660 (2009).
- Ya. I. Rodionov, I. S. Burmistrov, A. S. Ioselevich, Charge relaxation resistance in the Coulomb blockade problem, Phys. Rev. B 80, 35 332 (2009).
- I. S. Burmistrov, A. M. M. Pruisken, The problem of macroscopic charge quantization in the Coulomb blockade, AIP Conference Proceedings 1134, 101 (2009).
- D. Chouvaev, L. S. Kuzmin, D. S. Golubev, A. D. Zaikin, Strong tunneling and Coulomb blockade in a single-electron transistor, Phys. Rev. B 59, 10 599 (1999).
- L. Bitton, D. B. Gutman, R. Berkovits, A. Frydman, Coexistence of Coulomb blockade and zero bias anomaly in a strongly coupled nanodot, Phys. Rev. Lett. 106, 16 803 (2011).
- А. А. Абрикосов, О рассеянии электронов в металле на магнитных примесных атомах и особенностях поведения сопротивления, Physics 2, 21 (1965).
- Ю. А. Изюмов, Ю. Н. Скрябин, Статистическая механика магнитноупорядочен-ных систем, Москва, Наука, (1987).
- А. И. Ларкип, В. И. Мельников, Магнитные примеси в почти магнитном металле, ЖЭТФ 61, 1232 (1971).
- L. Zhu, Q. Si, Critical local-moment fluctuations in the Bose-Fermi Kondo model, Phys. Rev. В 66, 24 426 (2002).
- G. Zarand, E. Dernier, Quantum phase transitions in the Bose-Fermi Kondo model, Phys. Rev. В 66, 24 427 (2002).
- P. Nozieres, A. Blandin, Kondo effect in real metals, J. Phys. (Paris) 41, 193 (1980).
- A. M. Tsvelik, P. B. Wiegmann, Solution of the n-channel Kondo problem (scaling and integrability), Z. Phys. В 54, 201 (1984).
- N. Andrei, C. Destri, Solution of the multichannel Kondo problem, Phys. Rev. Lett. 52, 364 (1984).
- A. M. Chang, H. U. Baranger, L. N. Pfeiffer, K. W. West, T. Y. Chang, Non-Gaussian Distribution of Coulomb Blockade Peak Heights in Quantum Dots, Phys. Rev. Lett. 76, 1695 (1996).
- J. A. Folk, S. R. Patel, S. F. Godijn, A. G. Huibers, S. M. Cronemvett, С. M. Marcus, K. Campman, A. C. Gossard Statistics and Parametric Correlations of Coulomb Blockade Peak Fluctuations in Quantum Dots, Phys. Rev. Lett. 76, 1699 (1996).
- U. Sivan, R. Berkovits, Y. Aloni, O. Prus, A. Auerbach, G. Ben-Yoseph, Mesoscopic Fluctuations in the Ground State Energy of Disordered Quantum Dots, Phys. Rev. Lett. 77, 1123, (1996).
- F. Simmel, T. Heinzel, D. A. Wharam, Statistics of conductance oscillations of a quantum dot in the Coulomb-blockade regime, Europhys. Lett. 38, 123 (1997).
- S. R. Patel, S. M. Cronenwett, D. R. Stewart, A. G. Huibers, С. M. Marcus, С. I. Duruoz, J. S. Harris, Jr., K. Campman, A. C. Gossard, Statistics of Coulomb Blockade Peak Spacings, Phys. Rev. Lett. 80, 4522 (1998).
- S. R. Patel, D. R. Stewart, C. M. Marcus, M. Gokgedag, Y. Alhassid, A. D. Stone, C. I. Duruoz, J. S. Harris, Jr., Changing the Electronic Spectrum of a Quantum Dot by Adding Electrons, Phys. Rev. Lett. 81, 5900 (1998).
- F. Simmel, D. Abusch-Magder, D. A. Wharam, M. A. Kastner. J. P. Kotthaus, Statistics of the Coulomb-blockade peak spacings of a silicon quantum dot, Phys. Rev. B 59, R10441 (1999).
- S. Luscher, T. Heinzel, K. Ensslin, W. Wegscheider, M. Bichler, Signatures of Spin Pairing in Chaotic Quantum Dots, Phys. Rev. Lett. 86, 2118 (2001).
- R. A. Jalabert, A. D. Stone, Y. Alhassid, Statistical theory of Coulomb blockade oscillations: Quantum chaos in quantum dots, Phys. Rev. Lett. 68, 3468 (1992).
- S. M. Reimann, M. Manninen, Electronic structure of quantum dots, Rev. Mod. Phys. 74, 1283 (2002).
- Ya. M. Blanter, A. D. Mirlin, B. A. Muzykantskii, Fluctuations of Conductance Peak Spacings in the Coulomb Blockade Regime: Role of Electron-Electron Interaction, Phys. Rev. Lett. 78, 2449 (1997).
- L. P. Rokhinson, L. J. Guo, S. Y. Chou, D. C. Tsui, Spin transitions in a small Si quantum dot, Phys. Rev. B 63, 35 321 (2001).
- S. Lindemann, T. Ihn, T. Heinzel, W. Zwerger, K. Ensslin, K. Maranowski A. C. Gossard, Stability of spin states in quantum dots, Phys. Rev. B 66, 195 314 (2002).
- P. W. Brouwer, Y. Oreg, B. I. Halperin, Mesoscopic fluctuations of the ground-state spin of a small metal particle, Phys. Rev. B 60, 13 977 (1999).
- H. U. Baranger, D. Ullmo, L. I. Glazman, Interactions and interference in quantum dots: Kinks in Coulomb-blockade peak positions, Phys. Rev. B 61. 2425 (2000).
- L. Amico, A. Di Lorenzo, A. Osterloh Integrable Model for Interacting Electrons in Metallic Grains, Phys. Rev. Lett. 86, 5759 (2001).
- J. A. Folk, C. M. Marcus, R. Berkovits, I. L. Kurland, I. L. Aleiner, B. L. Altshuler, Ground state spin and Coulomb blockade peak motion in chaotic quantum dots, Phys. Script. T90, 26 (2001).
- G. Usaj, H. Baranager, Exchange and the Coulomb blockade: Peak height statistics in quantum dots, Phys. Rev. B 67, 121 308 (2003).
- Y. Alhassid, T. Rupp, Effects of Spin and Exchange Interaction on the Coulomb-Blockade Peak Statistics m Quantum Dots, Phys. Rev. Lett. 91, 56 801 (2003).
- Y. Alhassid, T. Rupp, A. Kaminski, L. I. Glazman, Linear conductance in Coulombblockade quantum dots in the presence of interactions and spin, Phys. Rev. B 69, 115 331 (2004).
- M. Schechter, Spin magnetization of small metallic grains, Phys. Rev. B 70, 24 521 (2004).
- Zu-Jian Ying, M. Cuoco, C. Noce, Huan-Qiang Zhou, Coexistence of spin polarization and pairing correlations in metallic grains, Phys. Rev. B 74, 12 503 (2006).
- Zu-Jian Ying, M. Cuoco, C. Noce, Huan-Qiang Zhou. Field response of metallic grains with magnetic and pairing correlations, Phys. Rev. B 74, 214 506 (2006).
- S. Schmidt, Y. Alhassid, K. van Houcke, Effect of a Zeeman field on the transition from superconductivity to ferromagnetism in metallic grains, Europhys. Lett. 80, 47 004 (2007).
- S. Schmidt, Y. Alhassid, Mesoscopic Competition of Superconductivity and Ferromagnetism: Conductance Peak Statistics for Metallic Grains, Phys. Rev. Lett. 101. 207 003 (2008).
- K. Van Houcke. Y. Alhassid, S. Schmidt, S. M. A. Rombouts, The competition between superconductivity and ferromagnetism in small metallic grains: thermodynamic properties, arxiv.1011.5421
- B. L. Altshuler, Y. Gefen, A. Kamenev, L. S. Levitov. Quasiparticle Lifetime in a Finite System: A Nonperturbatwe Approach, Phys. Rev. Lett. 78, 2803 (1997).
- D. Ullmo, H. U. Baranger, Interactions in chaotic nanoparticles: Fluctuations in Coulomb blockade peak spacmgs, Phys. Rev. B 64, 245 324 (2001).
- G. Usaj, H. U. Baranger, Spin and e-e interactions in quantum dots: Leading order corrections to universality and temperature effects, Phys. Rev. B 66, 155 333 (2002).
- Y. Alhassid, S. Malhotra, Spin and interaction effects in quantum dots: A Hartree-Fock-Koopmans approach, Phys. Rev. B 66, 245 313 (2002).
- Y. Alhassid, Т. Rupp, A universal Hamiltonian for a quantum dot in the presence of spin-orbit interaction, http://arxiv.org/abs/cond-mat/312 691.
- H.E. Tureci, Y. Alhassid, Spin-orbit interaction in quantum dots in the presence of exchange correlations: An approach based on a good-spin basis of the universal Hamiltonian, Phys. Rev. В 74, 165 333 (2006).
- G. Murthy, A Universal Interacting Crossover Regime in Two-Dimensional Quantum Dots, Phys. Rev. В 77. 73 309 (2008).
- O. Zelyak, G. Murthy, Quantum criticahty near the Stoner transition in a two-dot with spin-orbit coupling. Phys. Rev. В 80, 205 310 (2009).
- Y. Alhassid, The statistical theory of quantum dots. Rev. Mod. Phys. 72, 895 (2000).
- D. Ullmo. Many-body physics and quantum chaos, Rep. Prog. Phys. 71. 26 001 (2008).
- D. Huertas-Hernando, Y. Alhassid. Extracting the ground-state spin of a quantum dot from the conductance peaks in a parallel magnetic field at a finite temperature, Phys. Rev. В 75. 153 312 (2007).
- G. Brillmgs. A. D. Stone. Y. Alhassid. Signatures of exchange correlations in the thermopower of quantum dots, Phys. Rev В 81, 205 303 (2010).
- И. Я. Коренблит, Е. Ф. Шепдер, Ферромагнетизм упорядоченных систем, УФН 126, 233 (1978).
- S. Jia. S. L. Bud’ko. G. D. Samolyuk, P. C. Canfield, Nearly ferromagnetic Fermi-liquid behaviour m YFe2Zn20 and high-temperature ferromagnetism of GdFe2Zn20. Nature Phys 3. 334 (2007).
- Ph. Jacquod, A. D. Stone. Suppression of ground-state magnetization in finite-size systems due to off-diagonal interaction fluctuations. Phys. Rev. Lett. 84, 3938 (2000).
- Ph. Jacquod. A. D. Stone. Ground-state magnetization for interacting fermions in a disordered potential Kinetic energy, exchange interaction, and off-diagonal fluctuations, Phys. Rev. В 64, 214 416 (2001).
- С. Kittel. H. Shore. Development of a phase transition for a rigorously solvable many-body system, Phys. Rev. 138, A1165 (1965).
- Th. Niemeijer, On the high-density limit of Heisenberg and I sing ferromagnets, Physica (Utr.) 48, 467 (1970).
- G. Vertogen, A. S. DeVries, On the thermodynamic equivalence of Van der Waals spin systems, Physica (Utr.) 59, 634 (1972).
- R. Dekeyser, M. H. Lee, Time-dependent correlations for spin Van der Waals systems, Phys. Rev. В 19, 265 (1979).
- A. Kamenev, Y. Gefen, Zero-bias anomaly in finite-size systems, Phys. Rev. В 54. 5428 (1996).
- M. N. Kiselev, Y. Gefen, Interplay of spin and charge channels in zero-dimensional systems, Phys. Rev. Lett. 96, 66 805 (2006).
- N. Sedlmayr, I. V. Yurkevich, I. V. Lerner, Tunnelling density of states at Coulombblockade peaks, Europhys. Lett. 76, 109 (2006).
- B. Nissan-Cohen, Y. Gefen, M. N. Kiselev, I. V. Lerner, Interplay of charge and spin in quantum dots: The Ising case, Phys. Rev. В 84, 75 307 (2011).
- J. Wei, E. Norman, Lie algebraic solution of linear differential equations, J. Math. Phys. 4, 575 (1963).
- I. V. Kolokolov, Functional representation for the partition function of the quantum Heisenberg ferromagnet, Phys. Lett. A 114, 99 (1986).
- И. В. Колоколов, E. В. Подивилов, Функциональный метод для квантовых ферромагнетиков и немагнонная динамика при низких температурах, ЖЭТФ 95, 211 (1989).
- М. Chertkov, I. V. Kolokolov, Equilibrium and nonequilibrium mean-field dynamics of quantum spin cluster, ЖЭТФ 106, 1525 (1994).
- M. Chertkov, I. V. Kolokolov, Equilibrium dynamics of a paramagnetic cluster, Phys. Rev. В 51, 3974 (1995).
- I. V. Kolokolov, A functional integration method for quantum spin systems and one-dimensional localization, Int. J. Mod. Phys. В 10, 2189 (1996).
- A. Saha, Y. Gefen, I.S. Burmistrov, A. Shnirman. A. Altland, A quantum dot close to Stoner instability. The role of the Berry’s phase, http://arxiv.org/abs/1203.4929.413 414 415 416 417 444 335 953 865 867 264
- К. Хуаиг, Статистическая механика, МИР, Москва, 1966.
- S. Burmistrov, Y. Gefen, M. N. Kiselev, Spin and charge correlations in quantum dots: An exact solution, Письма в ЖЭТФ 92, 202 (2010).
- К.A. Matveev. A.V. Andreev. Thermopower of a single-electron transistor in the regime of strong inelastic cotunnehng, Phys. Rev. В 66. 45 301 (2002).
- S. Burmistrov, Y. Gefen. M. N. Kiselev, An exact solution for spin and charge correlations in quantum dots: The effect of level fluctuations and Zeeman splitting. http://arxiv.org/abs/1201.4641.
- M. L. Mehta. Random Matrices (Boston: Academic) (1991).
- Y. V. Fyodorov, Multifractahty and freezing phenomena in random energy landscapes: An introduction. Physica A 389, 4229 (2010).
- D. Graham, D. S. Schreiber, Conduction-electron polarization in the paramagnetic state of a :'giant-moment'! dilute alloy, Phys. Rev. Lett. 17. 650 (1966).
- Shen, D. S. Schreiber, A. J.Arko. Low-temperature resisitwity of a «giant'' magnetic alloy, Phys. Rev. 179, 512 (1969).
- J. W. Loram, K. A. Mirza. Dilute PdNi-a homogeneous magnetic system of fluctuating moments, J. Phys. F: Met. Phys. 15, 2213 (1985).
- A. M. Clogston. В. T. Matthias, M. Peter. H. J. Williams. E. Corenzwit, R. C. Sherwood, Local magnetic moment associated with an iron atom dissolved in various transition metal alloys. Phys. Rev. 125, 541 (1962).
- D. Shaltiel, J. H. Wrenick, H. J. Williams, M. Peter, Paramagnetic resonance of S-state ions in metals of high paramagnetic susceptibility. Phys. Rev. 135, A1346. (1964).
- G. Mpourmpakis, G.E. Froudakis, A.N. Andriotis, M. Menon, Role of Co in enhancing the magnetism of small Fe clusters, Phys. Rev. В 72, 104 417 (2005).
- A. Hernando, B. Sampedro, R. Litran, T. C. Rojas, J. C. Sanchez-Lopez, A. Fernandez, Room temperature permanent magnetism m thiol-capped Pd-rich nanoparticles, Nanotechnology 17, 1449 (2006).
- E. Coronado, A. Ribera, J. Garcia-Martinez, N. Linares, L. M. Liz-Marzan, Synthesis, characterization and magnetism of monodispersed water soluble palladium nanoparticles, J. Mater. Chem. 18, 5682 (2008).
- G. Usaj, H. U. Baranger, Anisotropy in ferromagnetic nanoparticles: Level-to-level fluctuations of a collective effect, Europhys. Lett. 72, 110 (2005).
- I. S. Gradsteyn, I. M. Ryzhik, Table of integrals, series, and products, Academic Press (2000).
- P. A. Mello. Averages on the unitary group and applications to the problem of disordered conductors, J. Phys. A 23, 4061 (1990).
- P. W. Brouwer, C. W. J. Beenakker, Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems, J. Math. Phys. 37, 4904 (1996).