Nonlinear magnetotransport in Weyl semimetal

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of the band geometric quantities, such as the Berry curvature, and the magnetic part of the Lorentz force can give rise to finite nonlinear Hall conductivity that is linear in the magnetic field. Such nonlinear Hall conductivity can manifest through nonlinear transport measurement as well as nonlinear optical phenomena like photocurrent and the second harmonic generation.Comment: 10 pages, 1 figure; Revised to correct minor typos and add a few more reference

Intrinsic Third Order Nonlinear Transport Responses

Nonlinear transport phenomena offer an exciting probe into the topology and band geometry of the system. Here, we investigate the intrinsic third-order nonlinear responses, independent of the scattering time, using the density matrix-based quantum kinetic formalism. We predict a new intrinsic third-order response that is dissipative and identify a novel intrinsic contribution to the dissipationless Hall response. We demonstrate that these previously unexplored contributions originate from the band geometric quantities such as the Berry curvature and symplectic connection, which are finite in systems that break time-reversal symmetry. We prescribe the symmetry dictionary for these fundamental transport coefficients and unify our quantum kinetic results with results from semiclassical wave-packet formalism. We illustrate our results in antiferromagnetic monolayer SrMnBi$_2$. Our study significantly advances the fundamental understanding of third-order responses.Comment: 14 pages, 3 figures, Comments are welcom