Landau quantization in tilted Weyl semimetals with broken symmetry

TL;DR

This paper investigates how broken symmetry and tilting in Weyl semimetals influence Landau quantization and magneto-absorption spectra, providing a realistic model for their magnetic response relevant to future device applications.

Contribution

It introduces a comprehensive four-band model that incorporates symmetry breaking and tilting effects, revealing their impact on Landau levels and band structure in Weyl semimetals.

Findings

Landau levels can be derived via Lorentz boost considering tilt.

Broken symmetry induces additional Hamiltonian terms leading to band reconstruction.

The model offers a realistic description of magnetic responses in Weyl semimetals.

Abstract

Broken symmetry and tilting effects are ubiquitous in Weyl semimetals (WSMs). Therefore, it is crucial to understand their impacts on the materials' electronic and optical properties. Here, using a realistic four-band model for WSMs that incorporates both the symmetry breaking and tilting effects, we study its Landau quantization and the associated magneto-absorption spectrum. We show that the Landau levels in tilted Weyl bands can be obtained by considering a non-tilt Hamiltonian through Lorentz boost. However, broken symmetry effects can generate an additional term in the Hamiltonian, which equivalently leads to band reconstruction. Our work provides a more realistic view of the magnetic field response of WSMs that shall be taken into account in relevant future device applications.