2 research outputs found
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. Our study significantly advances the
fundamental understanding of third-order responses.Comment: 14 pages, 3 figures, Comments are welcom