Optical conductivity of multi-Weyl semimetals

TL;DR

This paper investigates the optical conductivity of multi-Weyl semimetals, revealing unique frequency-dependent scaling relations linked to their topological charge, which can distinguish these states from other materials.

Contribution

It provides a comprehensive numerical and analytical study of optical conductivity in multi-Weyl semimetals, highlighting the role of topological charge in their quantum response.

Findings

Frequency dependence follows scaling relations from the winding number.

Distinct optical responses differentiate multi-Weyl from other semimetals.

Analytical models match numerical results across phases.

Abstract

Multi-Weyl semimetals are new types of Weyl semimetals which have anisotropic non-linear energy dispersion and a topological charge larger than one, thus exhibiting a unique quantum response. Using a unified lattice model, we calculate the optical conductivity numerically in the multi-Weyl semimetal phase and in its neighboring gapped states, and obtain the characteristic frequency dependence of each phase analytically using a low-energy continuum model. The frequency dependence of longitudinal and transverse optical conductivities obeys scaling relations that are derived from the winding number of the parent multi-Weyl semimetal phase and can be used to distinguish these electronic states of matter.