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.
Citation:
A. K. Arzhnikov, S. G. Novokshonov, S. V. Pakhomov, “Quantum corrections to the conductivity of a two-dimensional disordered system in a strong magnetic field”, TMF, 94:3 (1993), 486–495; Theoret. and Math. Phys., 94:3 (1993), 339–344