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Electrical magnetochiral anisotropy in Rashba superconductors

Abstract

We theoretically investigate the role of higher-order Lifshitz invariants in nonreciprocal charge transport in two-dimensional noncentrosymmetric superconductors with Rashba spin-orbit coupling. In the superconducting state, these symmetry-allowed terms give rise to critical-current nonreciprocity, while in the normal state near the superconducting transition they generate a pronounced magnetochiral anisotropy. Using symmetry-constrained group-theoretical methods, we systematically construct the allowed Lifshitz invariants and derive the corresponding vector structure of the nonreciprocal current. To describe nonlinear transport in the fluctuation regime, we apply a generalized time-dependent Ginzburg-Landau theory that incorporates both the Aslamazov-Larkin contribution from fluctuation-induced Cooper pairs and the Maki-Thompson contribution associated with quantum interference in the Cooper channel. We further analyze the effects of disorder scattering and dephasing on the resulting nonreciprocal response.

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BibTeX
@misc{miranda2026electrical,
  title = {{Electrical magnetochiral anisotropy in Rashba superconductors}},
  author = {Joaquim Telles de Miranda and Maxim Khodas and Alex Levchenko},
  howpublished = {arXiv},
  year = {2026},
  month = jun,
  doi = {10.48550/arxiv.2606.19421},
  eprint = {2606.19421},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.19421},
}
RIS
TY  - UNPB
TI  - Electrical magnetochiral anisotropy in Rashba superconductors
AU  - Joaquim Telles de Miranda
AU  - Maxim Khodas
AU  - Alex Levchenko
PY  - 2026
DA  - 2026/06/17
PB  - arXiv
DO  - 10.48550/arxiv.2606.19421
UR  - https://arxiv.org/abs/2606.19421
AB  - We theoretically investigate the role of higher-order Lifshitz invariants in nonreciprocal charge transport in two-dimensional noncentrosymmetric superconductors with Rashba spin-orbit coupling. In the superconducting state, these symmetry-allowed terms give rise to critical-current nonreciprocity, while in the normal state near the superconducting transition they generate a pronounced magnetochiral anisotropy. Using symmetry-constrained group-theoretical methods, we systematically construct the allowed Lifshitz invariants and derive the corresponding vector structure of the nonreciprocal current. To describe nonlinear transport in the fluctuation regime, we apply a generalized time-dependent Ginzburg-Landau theory that incorporates both the Aslamazov-Larkin contribution from fluctuation-induced Cooper pairs and the Maki-Thompson contribution associated with quantum interference in the Cooper channel. We further analyze the effects of disorder scattering and dephasing on the resulting nonreciprocal response.
ER  -