THEORY OF HALL-EFFECT IN A 2-DIMENSIONAL ELECTRON-SYSTEM
THEORY OF HALL-EFFECT IN A 2-DIMENSIONAL ELECTRON-SYSTEM
复制标题
DOI：
10.1143/jpsj.39.279
复制
发表时间：
1975-01-01
影响因子：
1.7
通讯作者：
UEMURA, Y
中科院分区：
文献类型：
--
作者：
ANDO, T;MATSUMOTO, Y;UEMURA, Y
本文研究了霍尔电导率σ XY的各种近似值。在自洽玻恩近似下，得到了短距离散射体和长距离散射体的σ XY特性，这是最简单的不受发散困难限制的近似。在短程散射体的情况下，如果在磁场下使用弛豫时间，则在此近似下，σ XY和σ XX之间的关系被示出。在强磁场下，高玻恩散射效应在低的朗道能级中变得重要。它们依赖于散射体的符号，并强烈依赖于它们的浓度。从许多散射体的同时散射的影响计算到最低阶。
Hall conductivity σXYis studied in various approximations. Characteristics of σXYare obtained for the case of both short- and long-ranged scatterers in the self-consistent Born approximation, which is the simplest one free form the difficulty of divergence. In case of short-ranged scatterers, a relation is shown to hold between σXYand σXXwithin this approximation, if one uses a relaxation time under magnetic fields. Under strong magnetic fields, effects of higher Born scattering become important in low-lying Landau levels. They depend on the sign of scatterers and strongly on their concentrations. Effects of simultaneous scattering from many scatterers are calculated to the lowest order.