Two-dimensional Weyl materials in the presence of constant magnetic fields

Abstract

<p>In this work we investigate the effect of a constant external, or artificial, magnetic field on the nonlinear response of two-dimensional (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 corresponding nonlinear signal. Then, we analyze how changing the tilting parameter affects the 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.</p>