Quantized nonlinear Hall effect from chiral monopole

Nikolai Peshcherenko; Claudia Felser; Yang Zhang

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arXiv · 2312.17690

Quantized nonlinear Hall effect from chiral monopole

Nikolai Peshcherenko·Claudia Felser·Yang Zhang

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Abstract

Nonlinear Hall effect arises in materials without inversion symmetry, and the intrinsic contribution is typically from Berry curvature dipole of non-universal Fermi pockets. Here we propose that nonlinear Hall effect can reach quantization in chiral Weyl semimetals without mirror symmetries. The energy shift between a pair of Weyl nodes leads to chirally asymmetric intra-node relaxation, and the net trace of nonlinear Hall conductivity is thus quantized in units of $e^3/\hbar^2$ and determined by sum of monopole charge weighted by the transport relaxation time. Our theory also applies to mirror symmetric Weyl/Dirac semimetals with chiral anomaly. Additionally, besides DC transport probes, we anticipate that nonlinear circular dichroism measurements could detect chiral asymmetry-induced currents.

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Nikolai Peshcherenko, Claudia Felser, Yang Zhang. 2023-12-29. Quantized nonlinear Hall effect from chiral monopole. https://arxiv.org/abs/2312.17690

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