Nonlinear Hall effect in topological Dirac semimetals in parallel magnetic field
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911615758106624 |
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| author | Dzero, Maxim Khodas, Maxim Levchenko, Alex Kozii, Vladyslav |
| author_facet | Dzero, Maxim Khodas, Maxim Levchenko, Alex Kozii, Vladyslav |
| contents | We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to evaluate the second-order electric-field contributions to the current density. Both the Berry curvature dipole and the field-induced terms in the current are analyzed across a broad range of model parameters. We propose that our theory can be tested experimentally by measuring the dependence of the anomalous Hall resistivity on the in-plane magnetic field in the surface states of the topological insulator SnTe, in WTe$_2$ and WSe$_2$ monolayers, as well as in the Kondo lattice material Ce$_3$Bi$_4$Pd$_3$ at very low temperatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20159 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear Hall effect in topological Dirac semimetals in parallel magnetic field Dzero, Maxim Khodas, Maxim Levchenko, Alex Kozii, Vladyslav Mesoscale and Nanoscale Physics Strongly Correlated Electrons We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to evaluate the second-order electric-field contributions to the current density. Both the Berry curvature dipole and the field-induced terms in the current are analyzed across a broad range of model parameters. We propose that our theory can be tested experimentally by measuring the dependence of the anomalous Hall resistivity on the in-plane magnetic field in the surface states of the topological insulator SnTe, in WTe$_2$ and WSe$_2$ monolayers, as well as in the Kondo lattice material Ce$_3$Bi$_4$Pd$_3$ at very low temperatures. |
| title | Nonlinear Hall effect in topological Dirac semimetals in parallel magnetic field |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.20159 |