Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment

TL;DR

This paper develops a microscopic theory for low-field magnetoconductivity incorporating Berry curvature and orbital magnetic moment, providing refined calculations for tilted Weyl semimetals beyond semiclassical approaches.

Contribution

It introduces a microscopic framework that extends semiclassical Boltzmann theory to include higher-order effects of Berry curvature and orbital magnetic moment in magnetoconductivity.

Findings

Derived corrections to conductivity involving Berry curvature and orbital magnetic moment.

Applied the formalism to tilted Weyl semimetals to analyze linear longitudinal magnetoconductivity.

Identified differences between the microscopic theory and previous semiclassical or orbital magnetic moment studies.

Abstract

Using a microscopic theory for the magnetoconductivity at low magnetic fields we show how the Hall and longitudinal conductivity can be calculated in the low scattering rate limit. In the lowest order of the scattering rate, we recover the result of the semiclassical Boltzmann transport theory. At higher order, we get corrections containing the Berry curvature and the orbital magnetic moment. We use this formalism to study the linear longitudinal magnetoconductivity in tilted Weyl semimetals. We discuss how our result is related to the semiclassical Boltzmann approach and show the differences that arise compared to previous studies related to the orbital magnetic moment.