# Semiclassical Boltzmann transport theory for multi-Weyl semimetals

## TL;DR

This paper develops a semiclassical Boltzmann transport theory tailored for multi-Weyl semimetals, revealing how their unique anisotropic dispersion and topological charge influence electrical conductivity across different densities and temperatures.

## Contribution

It introduces a comprehensive transport framework for multi-Weyl semimetals that accounts for anisotropy and topological charge, advancing understanding of their electronic properties.

## Key findings

- Transport coefficients depend on topological charge.
- Density and temperature dependence differ from linear Weyl semimetals.
- Anisotropic dispersion significantly affects conductivity.

## Abstract

Multi-Weyl semimetals (m-WSMs) are a new type of Weyl semimetal that have linear dispersion along one symmetry direction but anisotropic non-linear dispersion along the two transverse directions with a topological charge larger than one. Using the Boltzmann transport theory and fully incorporating the anisotropy of the system, we study the DC conductivity as a function of carrier density and temperature. We find that the characteristic density and temperature dependence of the transport coefficients at the level of Boltzmann theory are controlled by the topological charge of the multi-Weyl point and distinguish m-WSMs from their linear Weyl counterparts.