2D Weyl Materials in the Presence of Constant Magnetic Fields

TL;DR

This paper studies how constant magnetic fields influence the nonlinear electrical response of 2D Weyl materials with tilted Dirac cones, revealing tunable nonlinear effects through cone tilting engineering.

Contribution

It introduces a perturbative approach to analyze Landau Levels in tilted 2D Weyl materials and explores how tilting affects nonlinear responses under magnetic fields.

Findings

Nonlinear response can be significantly tuned by adjusting tilt parameters.

Perturbation theory effectively calculates Landau spectrum corrections.

Tilted Dirac cones enable control over nonlinear electrical signals.

Abstract

In this work we investigate the effect of a constant external, or artificial, magnetic field on the nonlinear response of 2D Weyl materials. We calculate the Landau Levels for tilted cones in 2D Weyl materials by treating the tilting in a perturbative manner, and employ perturbation theory to calculate the tilting-induced correction to the magnetic field induced Landau spectrum. We then calculate the induced current as a function of the tilting coefficients and extract the correspondent nonlinear signal. Then, we analyze how changing tilting parameter affects nonlinear signal. Our findings show the possibility of achieving a significant tunability of the nonlinear response, by suitably engineering the orientation and degree of tilt of Dirac cones in 2D Weyl materials.