Effective action of a 2+1 dimensional system of nonrelativistic fermions in the presence of a uniform magnetic field: dissipation effects

TL;DR

This paper investigates the effective action of nonrelativistic fermions in 2+1 dimensions under a uniform magnetic field, focusing on finite temperature, chemical potential, and dissipation effects, with implications for Hall quantization.

Contribution

It extends the derivative expansion method to analyze dissipation effects and computes the induced Chern-Simons term in this context.

Findings

Induced Chern-Simons term exhibits Hall quantization.

Dissipation effects due to collisions are characterized.

Method generalization provides new insights into nonrelativistic fermion systems.

Abstract

The effective action of nonrelativistic fermions in 2+1 dimensions is analyzed at finite temperature and chemical potential in the presence of a uniform magnetic field perpendicular to the plane. The method used is a generalization of the derivative expansion technique. The induced Chern-Simons term is computed and shown to exhibit the Hall quantization. Effects of dissipation due to collisions are also analyzed.