Screening and inplane magnetoresistance of anisotropic two-dimensional gas

TL;DR

This paper develops a theoretical framework to analyze the in-plane magnetoresistance of anisotropic two-dimensional gases, distinguishing orbital and spin effects through derived response and dielectric functions.

Contribution

It introduces a method to separate orbital and spin contributions to magnetoresistance in anisotropic 2D gases by deriving response functions considering anisotropic effective mass.

Findings

Relaxation time is isotropic at low density for charged impurity scattering.

The derived response functions enable separation of orbital and spin effects.

The approach aids in understanding magnetotransport in anisotropic 2D systems.

Abstract

In order to split the influence of the orbital and spin effects on the inplane magnetoresistance of a quasi two-dimensional gas we derive its linear response function and dielectric function for the case of anisotropic effective mass. This result is used for the calculation of elastic transport relaxation time of a quasi two dimensional system in a parallel magnetic field. The relaxation time is proved to be isotropic in the low density limit for the case of charged impurity scattering, allowing to separate the two contributions.