Fully-nonequilibrium Hall response from Berry curvature

Non-centrosymmetric topological materials with time reversal symmetry are expected to exhibit a spontaneous (i.e., zero magnetic field) Hall response that scales non-linearly with the applied electric field (E). Recent developments in Weyl-Kondo semimetals motivate us to address what happens to this effect in the fully nonequilibrium regime, beyond the range accessible by a perturbative expansion in E. Here [1], we show that the interplay between the Fermi surface and the distribution of Berry curvature under the applied field plays a key role in determining the response. Importantly, the lowest order multipole no longer controls the Hall response, and the non-reciprocity generated by the applied field emulates signatures of time-reversal symmetry breaking. The implications of our results for the understanding of strongly correlated topological semimetals are discussed.

*Supported by the AFOSR (FA9550-21-1-0356), NSF (DMR-2220603) and VBFF (N00014-23-1-2870)

[1] S. Sur et al, “Fully-nonequilibrium Hall response from Berry curvature”, unpublished (to appear on arXiv).