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Fully nonequilibrium Hall response from Berry curvature

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arxiv 2411.16675 v3 pith:ZXHKACUT submitted 2024-11-25 cond-mat.mes-hall cond-mat.str-el

Fully nonequilibrium Hall response from Berry curvature

classification cond-mat.mes-hall cond-mat.str-el
keywords hallberrycurvatureresponseelectricfieldsystemsdipole
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In topological materials, Berry curvature leads to intrinsic Hall responses. Focusing on time-reversal symmetric systems with broken inversion symmetry, a spontaneoous (zero magnetic field) Hall effect is expected to develop under an applied electric field. Motivated by recent developments in Weyl-Kondo semimetals, here we advance a fully nonequilibrium (FNE) Hall response due to the Berry curvature. In particular, we show that, while the spontaneous Hall current is quadratic in the previously described regime of weak electric field, due to the contribution from the dipole moment of the Berry curvature, the FNE Hall response for non-perturbative electric fields is not controlled by the Berry curvature dipole. Remarkably, the FNE Hall response resembles what happens in systems that break the microscopic time-reversal symmetry. We illustrate the universality of these results by comparing them with their counterparts in systems with any higher-multipole of the Berry curvature. The implications of our results for the understanding of strongly correlated topological semimetals are discussed.

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Cited by 4 Pith papers

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  1. Nonperturbative Nonlinear Hall Effect in Nonequilibrium Steady States

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  2. Disorder-driven Weyl-Kondo Semimetal Phase in WTe$_2$

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  3. Nonlinear Hall effect in topological Dirac semimetals in parallel magnetic field

    cond-mat.mes-hall 2025-08 unverdicted novelty 5.0

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  4. Nonlinear thermal and thermoelectric transport from quantum geometry

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