2D Weyl Materials in the Presence of Constant Magnetic Fields

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.