Intra-cone transition effect to magnetoconductivity in Dirac semimetal

TL;DR

This paper investigates how small fermion mass and magnetic fields influence magnetoconductivity in Dirac semimetals, revealing the roles of intra-cone transitions due to mass and Landau level excitations.

Contribution

It derives the relaxation times for intra-cone transitions caused by mass effects and Landau level excitations, providing new insights into magnetoconductivity behavior in Dirac semimetals.

Findings

Mass dependence of magnetoconductivity derived

Magnetic field dependence of relaxation times established

Intra-cone transition processes quantified

Abstract

We study the transport of the fermions with a small mass in the presence of Coulomb impurities, which could be realized in slightly distorted Dirac semimetals. Using the semiclassical Boltzmann equation, we derive the relaxation times for two kinds of intra-cone transition process. One is due to the effect of mass, and the other is due to the excited states in Landau levels under the weaker magnetic field. Hence we derive the mass dependence and the magnetic field dependence of the longitudinal magnetoconductivity in the presence of parallel electric and magnetic fields.