Strain tuning of the nonlinear anomalous Hall effect in MoS 2 monolayer

Abstract Due to the time reversal symmetry, the linear anomalous Hall effect (AHE) usually vanishes in MoS 2 monolayer. In contrast, the nonlinear AHE plays an essential role in such system when the uniaxial strain breaks the C 3 v symmetry and eventually results in the nonzero Berry curvature dipole (BCD). We find that not only the magnitude of the AHE but also the nonlinear Hall angle can be tuned by the strain. Especially the nonlinear Hall angle exhibits a deep relationship which is analogy to the birefraction phenomenon in optics. It actually results from the pseudotensor nature of the BCD moment. Besides the ordinary positive and negative crystals in optics, there are two more birefraction-like cases corresponding to an imaginary refraction index ratio in monolayer MoS 2 . Our findings shed lights on the strain controlled electronic devices based on the two-dimensional materials with BCD.