Abstract
A system of noninteracting electrons moving in a magnetic field and a field of randomly distributed impurities is considered. An exact expression is obtained for the sum of the series of maximally crossed diagrams; it is valid in an arbitrary magnetic field. It is shown that in the two-dimensional case the relative magnitude of the corrections to the conductivity due to this series reaches 60% in the center of the lower Landau sub-band.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
The Quantum Hall Effect. New Results in Solid-State Physics, No. 12 [Russian translations], Mir, Moscow (1986).
P. F. Hopkins, M. T. Burns, A. T. Rimberg, and R. M. Westerfelt,Phys. Rev. B,39, 12708 (1989).
O. Viehweger and K. B. Efetov,J. Phys.,2, 7049 (1990).
L. P. Gor'kov, A. I. Larkin, and D. E. Khmel'nitskii,Pis'ma Zh. Eskp. Teor. Fiz.,30, 248 (1979).
D. Vollhardt and P. Wölfle,Phys. Rev. B,22, 4666 (1980).
Y. Ono,J. Phys. Soc. Jpn.,51, 3544 (1982).
Y. Ono,J. Phys. Soc. Jpn.,52, 2492 (1983).
R. R. Gerhardts,Z. Phys. B,22, 327 (1975).
B. L. Altshuler, D. Khmel'nitskii, A. I. Larkin, and P. A. Lee,Phys. Rev. B,22, 5142 (1980).
A. Houghton, J. R. Senna, and S. C. Ying,Phys. Rev. B,25, 2196 (1982).
Additional information
Physicotechnical Institute of the Urals Branch of the Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 3, pp. 486–495, March, 1993.
Rights and permissions
About this article
Cite this article
Arzhnikov, A.K., Novokshonov, S.G. & Pakhomov, S.V. Quantum corrections to the conductivity of a two-dimensional disordered system in a strong magnetic field. Theor Math Phys 94, 339–344 (1993). https://doi.org/10.1007/BF01017266
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01017266