2005/01/03 by V. M. Gvozdikov, Gvozdikov, V. M.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0501026
arxiv created 2005/01/03 · arxiv updated 2009/12/01
An analytic theory is developed for the diagonal conductivity σxx of a 2D conductor which takes account of the localized states in the broaden Landau levels. In the low-field region σxx display the Shubnikov-de Haas oscillations which in the limit Ωτ≫ 1 transforms into the sharp peaks (Ω is the cyclotron frequency, τ is the electron scattering time). Between the peaks σxx→ 0. With the decrease of temperature, T, the peaks in σxx display first a thermal activation behavior σxx∝ exp(-Δ/T), which then crosses over into the variable-range-hopping regime at lower temperatures with σxx∝ 1/T exp(-√T0/T) (the prefactor 1/T is absent in the conductance).