Longitudinal magnetoconductivity in chiral multifold semimetals exemplified by pseudospin-1 nodal points

TL;DR

This paper calculates the longitudinal magnetoconductivity of isotropic triple-point semimetals with multifold chiral fermions, considering topological effects and quadratic corrections, providing exact solutions and comparisons with relaxation-time approximations.

Contribution

It introduces an exact solution for magnetoconductivity in multifold semimetals accounting for topological and quadratic effects, advancing understanding of their transport properties.

Findings

Topological properties significantly influence B-dependence of conductivity.

Quadratic corrections make flat bands dispersive, affecting transport.

Exact solutions differ from relaxation-time approximation results.

Abstract

We embark on computing the longitudinal magnetoconductivity within the semiclassical Boltzmann formalism, where an isotropic triple-point semimetal (TSM) is subjected to collinear electric ($\boldsymbol E $) and magnetic ($\boldsymbol B$) fields. Except for the Drude part, the $B$-dependence arises exclusively from topological properties like the Berry curvature and the orbital magnetic moment. We solve the Boltzmann equations exactly in the linear-response regime, applicable in the limit of weak/nonquantising magnetic fields. The novelty of our investigation lies in the consideration of the truly multifold character of the TSMs, where the so-called flat-band (flatness being merely an artefact of linear-order approximations) is made dispersive by incorporating the appropriate quadratic-in-momentum correction in the effective Hamiltonian. It necessitates the consideration of interband scatterings within the same node as well, providing a complex interplay of intraband, interband, intranode, and internode processes, offering an overwhelmingly rich set of possibilities. The exact results are compared with those obtained from a naive relaxation-time approximation.