Semiclassical magnetotransport including the effects of the Berry curvature and Lorentz force

TL;DR

This paper develops a theoretical framework combining Berry curvature and Lorentz force effects to analyze magnetotransport in topological materials, revealing complex field-dependent behaviors.

Contribution

It provides a closed-form Boltzmann transport solution incorporating both Berry curvature and Lorentz force effects in Weyl semimetals.

Findings

Non-monotonic magnetic field dependence of conductivity

Analytical expressions for resistivity tensors

Insights into the interplay between Berry curvature and Lorentz force

Abstract

In topological semimetals and insulators, negative longitudinal magnetoresistance and angle-dependent planar Hall effect have been reported arising from the Berry curvature. Using the Boltzmann transport theory, we present a closed-form expression for the nonequilibrium distribution function which includes both the effects of the Berry curvature and Lorentz force. Using this formulation, we obtain analytical expressions for conductivity and resistivity tensors in Weyl semimetals demonstrating a non-monotonic field dependence arising from the competition between the two effects.