Nonlinear screening and metal-insulator transition in two-dimensional electron gas
The density functional theory is used to study the nonlinear screening properties of a two-dimensional electron gas in a strong magnetic field. The Kohn-Sham equations for two-dimensional electrons are solved numerically. It is shown that, at low electron densities, two electrons are localized on impurities, and the wave functions of these electrons do not overlap with the wave functions of other electrons.
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Keywords
Kohn-Sham equations, screening, metal-dielectric transition, уравнения Кона - Шэма, экранирование, переход металл - диэлектрикAuthors
| Name | Organization | |
| Vasilchenko A.A. | Kuban State University | a_vas2002@mail.ru |
| Kopytov G.F. | Kuban State University | g137@mail.ru |
References
Zaremba E., Nagy I., and Echenique P.M. // Phys. Rev. B. - 2005. - V. 71. - P. 125323.
Васильченко А.А., Яковенко Н.А. // Инженерная физика. - 2008. - № 5. - С. 2.
Gudmundsson V. // Solid State Commun. - 1990. - V. 74. - P. 63.
Zaremba E., Nagy I., and Echenique P.M. // Phys. Rev. Lett. - 2003. - V. 90. - P. 046801.
Fetter A. // Ann. Phys. (N.Y.). - 1973. - V. 81. - P. 367.
Horing N.J.M., Tso H.C., and Gumbs G. // Phys. Rev. B. - 1987. - V. 36. - P. 1588.
Pudalov V.M., D'Iorio M., and Campbell J.W. // Письма в ЖЭТФ. - 1993. - T. 57. - C. 592.
Stern F. and Howard W.E. // Phys. Rev. - 1967. - V. 163. - P. 816.
Knyazev D.A., Omel’yanovskii O.E., Pudalov V.M., and Burmistrov I.S. // Phys. Rev. Lett. - 2008. - V. 100. - P. 046405.
Knyazev D.A., Omel’yanovskii O.E., Pudalov V.M., and Burmistrov I.S. // Письма в ЖЭТФ. - 2006. - T. 84. - C. 780.
Шашкин А.А. // УФН. - 2005. - T. 175. - C. 139.
Шангина Е.Л., Долгополов В.Т. // УФН. - 2003. - T. 173. - C. 801.
Kravchenko S.V. and Sarachik M.P. // Rep. Prog. Phys. - 2004. - V. 67. - P. 1.
Kravchenko S.V., Mason W.E., Bowker G.E., et al. // Phys. Rev. B. - 1995. - V. 51. - P. 7038.
Kravchenko S.V., Kravchenko G.V., Furneaux J.E., et al. // Phys. Rev. B. - 1994. - V. 50. - P. 8039.
