  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.
