Nonlinear magnetotransport in Weyl semimetal

Abstract

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.

10 pages, 1 figure; Revised to correct minor typos and add a few more references

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Cited by in corpus (4)

• Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Magnetic field induces giant nonlinear optical response in Weyl semimetals
• Odd-parity longitudinal magnetoconductivity in time-reversal symmetry broken materials