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Nonlinear magnetotransport in Weyl semimetal
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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.
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Demonstration of the third-order nonlinear Hall effect in topological Dirac semimetal NiTe$_2$
NiTe2 shows a magnetic-field-independent third-harmonic transverse voltage consistent with the predicted third-order nonlinear Hall effect, while the second-harmonic response stays near zero.
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