Landau levels in Weyl semimetal under uniaxial strain

TL;DR

This paper explores how uniaxial strain in Weyl semimetals creates pseudomagnetic fields that affect Landau levels, using continuum and lattice models to reveal magnetic field renormalization and Hofstadter butterfly spectra.

Contribution

It demonstrates the impact of uniaxial strain on Landau levels and magnetic field renormalization in Weyl semimetals through combined continuum and lattice modeling approaches.

Findings

Uniaxial strain shifts Landau levels to higher energies.

Magnetic field renormalization occurs due to strain effects.

Hofstadter butterfly spectrum emerges under strain conditions.

Abstract

The external strain can lead to the similar effect to the external applied magnetic field. Such pseudomagnetic field can be larger than typical magnetic fields, what gives the opportunity to experimentally study the Landau levels. In this paper we study the effects of uniaxial strain on the Weyl nodes, using continuum and lattice model. In the continuum model we show that the uniaxial strain leads to magnetic field renormalization, which in practice corresponds to the shift of the Landau levels to higher energy. We also investigate type-I and type-II Weyl nodes using lattice model. In this case, the magnetic field is introduced by the Pierels substitution, while uniaxial strain by the direction dependence of hopping integrals. This allowed us to probe the Landau level and system spectrum which takes form of Hofstadter butterfly. We show that the renormalization of magnetic field, similar to this observed in the continuum model, emerges.