Quantum Diffusive Magneto-transport in Massive Dirac Materials with Chiral Symmetry Breaking

TL;DR

This paper develops a microscopic theory for quantum diffusive magnetotransport in massive Dirac materials with non-Abelian Berry curvature, explaining negative quadratic magnetoresistance and its dependence on mass.

Contribution

It introduces a Green's function-based microscopic framework for understanding magnetotransport in massive Dirac systems with chiral symmetry breaking.

Findings

Longitudinal magnetoresistance is negative and quadratic in magnetic field.

Magnetoresistance decays quickly with increasing mass.

Theory explains anomalous magnetotransport in topological materials.

Abstract

Massive Dirac fermions break the chiral symmetry explicitly and also make the Berry curvature of the band structure non-Abelian. By utilizing the Green's function technique, we develop a microscopic theory to establish a set of quantum diffusive equations for massive Dirac materials in the presence of electric and magnetic fields. It is found that the longitudinal magnetoresistance is always negative and quadratic in the magnetic field, and decays quickly with the mass. The theory is applicable to the systems with non-Abelian Berry curvature and resolves the puzzles of anomalous magnetotransport properties measured in topological materials.