Novel electric field effects on Landau levels in multi- Weyl semimetals

TL;DR

This paper investigates how electric fields influence Landau levels in multi-Weyl semimetals, revealing degeneracy lifting and modifications in density of states through second-order perturbation analysis.

Contribution

It provides a detailed second-order perturbation analysis of Landau levels in multi-Weyl semimetals under crossed electric and magnetic fields, highlighting electric field effects.

Findings

First order correction lifts n-fold degeneracy of lowest Landau levels.

Higher Landau levels are modified by second order perturbation.

Electric fields affect the density of states in the presence of magnetic fields.

Abstract

Multi-Weyl semimetals(WSMs) have an anisotropic non-linear dispersion along a 2-D plane and a linear dispersion in an orthogonal direction. They have topological charge $\lq n $' and are created when two or multiple Weyl points or nodes with nonzero net monopole charge are brought together onto a high-symmetry point. We study the perturbation corrections up to second order of such multi-WSMs in crossed electric($\mathcal{E}$) and magnetic (B) fields in the low electric field approximation. As a result, the first order correction lifts only n-fold degeneracy of the lowest Landau levels(LLs) while the higher Landau levels are modified due to the second order perturbation. We study the signatures of these corrections due to electric fields on the density of states (DOS) subjected to a magnetic field.