Magnetochiral anisotropy in strained superconducting transition metal dichalcogenides

@misc{miranda2026magnetochiral,
  title = {{Magnetochiral anisotropy in strained superconducting transition metal dichalcogenides}},
  author = {Joaquim Telles de Miranda and Maxim Khodas and Alex Levchenko},
  howpublished = {arXiv},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2606.05302},
  eprint = {2606.05302},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.05302},
}

TY  - UNPB
TI  - Magnetochiral anisotropy in strained superconducting transition metal dichalcogenides
AU  - Joaquim Telles de Miranda
AU  - Maxim Khodas
AU  - Alex Levchenko
PY  - 2026
DA  - 2026/07/28
PB  - arXiv
DO  - 10.48550/arxiv.2606.05302
UR  - https://arxiv.org/abs/2606.05302
AB  - We present a theoretical study of nonreciprocal charge transport in two-dimensional noncentrosymmetric superconductors, taking the transition-metal dichalcogenide MoS_2 as a representative example. In the normal state, the magnetochiral anisotropy vanishes within the minimal band model of MoS_2, appearing only at subleading order in the symmetry-breaking perturbations set by trigonal warping, Ising spin-orbit coupling, and the Zeeman field. Superconductivity changes this picture qualitatively: in the vicinity of the transition, the magnetochiral anisotropy is strongly enhanced by pairing fluctuations. We evaluate the nonreciprocal current density arising from order-parameter fluctuations and quantum-interference processes -- the Aslamazov-Larkin and Maki-Thompson channels -- and show that both are governed by cubic Lifshitz invariants of the Ginzburg-Landau free energy, generically allowed once inversion and time-reversal symmetries are broken. These invariants are derived microscopically from the band model, including the effects of disorder: in the diffusive limit the warping-induced invariant is suppressed, yet the resulting response remains sizable. Strain is shown to enable additional vector components of the nonlinear current, activating the Maki-Thompson channel. Finally, invoking Onsager reciprocity, we identify kinetic Lifshitz invariants, nonreciprocal corrections to the order-parameter relaxation rate, locked to the Langevin noise by the fluctuation-dissipation theorem, and demonstrate that their contribution to the magnetochiral anisotropy is parametrically subleading near the transition.
ER  -