Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs

Abstract

The nonlinear Hall e ect is mostly studied as a Berry curvature dipole e ect in nonmagnetic materials, which depends linearly on the relaxation time. On the other hand, in magnetic materials, an intrinsic nonlinear Hall e ect can exist, which does not depend on the relaxation time. Here we show that the intrinsic nonlinear Hall e ect can be observed in an antiferromagnetic metal: tetragonal CuMnAs, and the corresponding conductivity can reach the order of mA/V 2 based on density functional theory calculations. The dependence on the chemical potential of such nonlinear Hall conductivity can be qualitatively explained by a tilted massive Dirac model. Moreover, we demonstrate its strong temperature-dependence and brie y discuss its competition with the second order Drude conductivity. Finally, a complete survey of magnetic point groups are presented, providing guidelines for nding candidate materials with the intrinsic nonlinear Hall e ect.

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

“…Some prominent examples, within the linear response, include phenomena like anomalous Hall effect (AHE) [3][4][5] , valley Hall effect 6 , magnetic field induced -AHE 7 , intrinsic Hall effect [8][9][10] , and magnetoresistance 11,12 . Several very exciting NL Hall effects and other NL transport phenomena are also being actively explored [13][14][15][16][17][18][19][20][21][22] . However, the exploration of NL transport induced by geometric quantities in presence of a magnetic field is still at a nascent stage.…”

Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets

“…Note added. After this work was finalized, a complementary and independent study [37] appeared, with similar theory and calculation done for a different material.…”