Ak. Arzhnikov et al., QUANTUM CORRECTIONS TO THE CONDUCTIVITY OF A 2-DIMENSIONAL DISORDEREDSYSTEM IN A STRONG MAGNETIC-FIELD, Theoretical and mathematical physics, 94(3), 1993, pp. 339-344
A system of noninteracting electrons moving in a magnetic field and a
field of randomly distributed impurities is considered. An exact expre
ssion is obtained for the sum of the series of maximally crossed diagr
ams; it is valid in an arbitrary magnetic field. It is shown that in t
he two-dimensional case the relative magnitude of the corrections to t
he conductivity due to this series reaches 60% in the center of the lo
wer Landau sub-band.