Electrical magnetochiral anisotropy in Rashba superconductors

Автор(и)

  • Joaquim Telles de Miranda Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil
    Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA     https://orcid.org/0000-0003-3393-8030
  • Maxim Khodas Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
    Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA     https://orcid.org/0000-0003-3300-2558
  • Alex Levchenko Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA https://orcid.org/0000-0002-0319-386X

DOI (Low Temperature Physics):


https://doi.org/10.1063/10.0046092

Ключові слова:

magnetochiral anisotropy, Ginzburg–Landau theory, spin-orbit coupling, Lifshitz invariants

Анотація

Теоретично досліджено роль інваріантів Ліфшиця вищого порядку в невзаємному переносі заряду в двовимірних нецентросиметричних надпровідниках зі спін-орбітальним зв’язком Рашби. У надпровідному стані ці симетрично дозволені члени призводять до невзаємності критичного струму, тоді як у нормальному стані поблизу надпровідного переходу вони генерують виражену магнітохіральну анізотропію. Використовуючи методи групової теорії з обмеженнями симетрії, систематично побудовано дозволені інваріанти Ліфшиця та виведено відповідну векторну структуру невзаємного струму. Для опису нелінійного переносу в режимі флуктуацій застосовано узагальнену залежну від часу теорію Гінзбурга–Ландау, яка включає як внесок Асламазова–Ларкіна від індукованих флуктуаціями куперівських пар, так і внесок Макі–Томпсона, пов’язаний з квантовою інтерференцією в куперівському каналі. Також проаналізовано вплив розсіювання невпорядкованості та дефазування на підсумкову невзаємну реакцію.

Посилання

1. E. I. Rashba, “Symmetry of bands in wurzite-type crystals. 1. symmetry of bands disregarding spin-orbit interaction,” Sov. Phys. Solid. State 1, 368 (1959).

2. Yu. A. Bychkov and E. I. Rashba, “Properties of a 2D electron gas with lifted spectral degeneracy,” Sov. Phys. JETP Lett. 39, 66 (1984).

3. G. L. J. A. Rikken, J. Fölling, and P. Wyder, “Electrical magnetochiral anisotropy,” Phys. Rev. Lett. 87, 236602 (2001). https://doi.org/10.1103/PhysRevLett.87.236602

4. G. L. J. A. Rikken and P. Wyder, “Magnetoelectric anisotropy in diffusive transport,” Phys. Rev. Lett. 94, 016601 (2005). https://doi.org/10.1103/PhysRevLett.94.016601

5. P. Fulde and R. A. Ferrell, “Superconductivity in a strong spin-exchange field,” Phys. Rev. 135, A550 (1964). https://doi.org/10.1103/PhysRev.135.A550

6. A. I. Larkin and Y. N. Ovchinnikov, “Nonuniform state of superconductors,” Zh. Eksp. Teor. Fiz. 47, 1136 (1964).

7. M. Nadeem, M. S. Fuhrer, and X. Wang, “The superconducting diode effect,” Nature Rev. Phys. 5, 558 (2023).
https://doi.org/10.1038/s42254-023-00632-w

8. J. Ma, R. Zhan, and X. Lin, “Superconducting diode effects: Mechanisms, materials and applications,” Adv. Phys. Res. 4, 2400180 (2025). https://doi.org/10.1002/apxr.202400180

9. D. Shaffer and A. Levchenko, “Theories of superconducting diode effects,” arXiv:2510.25864 [condmat. supr-con] (2025).

10. R. Wakatsuki and N. Nagaosa, “Nonreciprocal current in noncentrosymmetric rashba superconductors,” Phys. Rev. Lett. 121, 026601 (2018). https://doi.org/10.1103/PhysRevLett.121.026601

11. S. Hoshino, R. Wakatsuki, K. Hamamoto, and N. Nagaosa, “Nonreciprocal charge transport in two-dimensional noncentrosymmetric superconductors,” Phys. Rev. B 98, 054510 (2018). https://doi.org/10.1103/PhysRevB.98.054510

12. S. V. Mironov, A. S. Mel’nikov, and A. I. Buzdin, “Photogalvanic phenomena in superconductors supporting intrinsic diode effect,” Phys. Rev. B 109, L220503 (2024). https://doi.org/10.1103/PhysRevB.109.L220503

13. A. Daido and Y. Yanase, “Rectification and nonlinear Hall effect by fluctuating finite-momentum cooper pairs,” Phys. Rev. Res. 6, L022009 (2024). https://doi.org/10.1103/PhysRevResearch.6.L022009

14. J. T. de Miranda, M. Khodas, and A. Levchenko, “Magnetochiral anisotropy in strained superconducting transition metal dichalcogenides,” arXiv:2606.05302 [cond-mat.supr-con] (2026).

15. V. M. Edelstein, “The ginzburg–landau equation for superconductors of polar symmetry,” J. Phys.: Condens. Matter 8, 339 (1996). https://doi.org/10.1088/0953-8984/8/3/012

16. D. F. Agterberg, “Magnetoelectric effects, helical phases, and FFLO phases,” in Non-centrosymmetric Superconductors, Lecture Notes in Physics Vol. 847, edited by E. Bauer and M. Sigrist (Springer, Berlin, Heidelberg, 2012), Chap. 5, p. 155.

17. R. P. Kaur, D. F. Agterberg, and M. Sigrist, “Helical vortex phase in the noncentrosymmetric CePt3Si,” Phys. Rev. Lett. 94, 137002 (2005). https://doi.org/10.1103/PhysRevLett.94.137002

18. L. S. Levitov, Yu. V. Nazarov, and G. M. Eliashberg, “Magnetostatics of superconductors without an inversion center,” Sov. Phys. JETP Lett. 41, 445 (1985).

19. N. F. Q. Yuan and L. Fu, “Supercurrent diode effect and finite-momentum superconductors,” PNAS 119, e2119548119 (2022). https://doi.org/10.1073/pnas.2119548119

20. S. Ilić and F. S. Bergeret, “Theory of the supercurrent diode effect in rashba superconductors with arbitrary disorder,” Phys. Rev. Lett. 128, 177001 (2022). https://doi.org/10.1103/PhysRevLett.128.177001

21. A. Daido, Y. Ikeda, and Y. Yanase, “Intrinsic superconducting diode effect,” Phys. Rev. Lett. 128, 037001 (2022). https://doi.org/10.1103/PhysRevLett.128.037001

22. J. J. He, Y. Tanaka, and N. Nagaosa, “A phenomenological theory of superconductor diodes,” New J. Phys. 24, 053014 (2022). https://doi.org/10.1088/1367-2630/ac6766

23. J. Hasan, D. Shaffer, M. Khodas, and A. Levchenko, “Supercurrent diode effect in helical superconductors,” Phys. Rev. B 110, 024508 (2024). https://doi.org/10.1103/PhysRevB.110.024508

24. Y. Tokura and N. Nagaosa, “Nonreciprocal responses from non-centrosymmetric quantum materials,” Nature Commun. 9, 3740 (2018). https://doi.org/10.1038/s41467-018-05759-4

25. N. Nagaosa and Y. Yanase, “Nonreciprocal transport and optical phenomena in quantum materials,” Ann. Rev. Condens. Matter Phys. 15, 63 (2024). https://doi.org/10.1146/annurev-conmatphys-032822-033734

26. A. I. Larkin and A. Varlamov, Theory of Fluctuations in Superconductors (OUP Oxford, 2005).

27. L. G. Aslamasov and A. I. Larkin, “The influence of fluctuation pairing of electrons on the conductivity of normal metal,” Phys. Lett. A 26, 238 (1968). https://doi.org/10.1016/0375-9601(68)90623-3

28. K. Maki, “The critical fluctuation of the order parameter in type-II superconductors,” Prog. Theor. Phys. 39, 897 (1968). https://doi.org/10.1143/PTP.39.897

29. R. S. Thompson, “Microwave, flux flow, and fluctuation resistance of dirty type-II superconductors,” Phys. Rev. B 1, 327 (1970). https://doi.org/10.1103/PhysRevB.1.327

30. L. Bauriedl, C. Bäuml, L. Fuchs, C. Baumgartner, N. Paulik, J. M. Bauer, K.-Q. Lin, J. M. Lupton, T. Taniguchi, K. Watanabe, C. Strunk, and N. Paradiso, “Supercurrent diode effect and magnetochiral anisotropy in few-layer NbSe2,” Nature Commun. 13, 4266 (2022).
https://doi.org/10.1038/s41467-022-31954-5

31. H. Guan, C. Yan, Z. Zhang, Y. Sun, Q. Chen, X. Zhao, C. Zhao, B. Gao, J. J. He, and S. Wang, “Dual-mode superconducting diode effect enabled by in-plane and out-of-plane magnetic field,” Commun. Phys. 9, 180 (2026). https://doi.org/10.1038/s42005-026-02598-4

32. L. P. Gor’kov and G. M. Eliashberg, “Generalization of the ginzburg–landau equations for non-stationary problems in the case of alloys with paramagnetic impurities,” Sov. Phys. JETP 27, 328 (1968).

33. A. Schmid, “Diamagnetic susceptibility at the transition to the superconducting state,” Phys. Rev. 180, 527 (1969). https://doi.org/10.1103/PhysRev.180.527

34. A. T. Dorsey, “Linear and nonlinear conductivity of a superconductor near Tc,” Phys. Rev. B 43, 7575 (1991). https://doi.org/10.1103/PhysRevB.43.7575

35. A. Levchenko and A. Kamenev, “Keldysh ginzburg–landau action of fluctuating superconductors,” Phys. Rev. B 76, 094518 (2007). https://doi.org/10.1103/PhysRevB.76.094518

36. A. Kamenev and A. Levchenko, “Keldysh technique and non-linear σ-model: Basic principles and applications,” Adv. Phys. 58, 197 (2009). https://doi.org/10.1080/00018730902850504

37. V. P. Mineev and K. V. Samokhin, “Helical phases in superconductors,” Sov. Phys. JETP 78, 401 (1994).

38. V. P. Mineev and K. V. Samokhin, “Nonuniform states in noncentrosymmetric superconductors: Derivation of lifshitz invariants from microscopic theory,” Phys. Rev. B 78, 144503 (2008). https://doi.org/10.1103/PhysRevB.78.144503

39. M. Houzet and J. S. Meyer, “Quasiclassical theory of disordered rashba superconductors,” Phys. Rev. B 92, 014509 (2015). https://doi.org/10.1103/PhysRevB.92.014509

40. J. Hasan, D. Shaffer, M. Khodas, and A. Levchenko, “Superconducting diode efficiency from singlet-triplet mixing in disordered systems,” Phys. Rev. B 111, 174514 (2025). https://doi.org/10.1103/PhysRevB.111.174514

41. A. G. Aronov, S. Hikami, and A. I. Larkin, “Gauge invariance and transport properties in superconductors above Tc,” Phys. Rev. B 51, 3880 (1995). https://doi.org/10.1103/PhysRevB.51.3880

42. E. Sajadi, T. Palomaki, Z. Fei, W. Zhao, P. Bement, C. Olsen, S. Luescher, X. Xu, and J. A. Folk, and D. H. Cobden, “Gate-induced superconductivity in a monolayer topological insulator,” Science 362, 922 (2018). https://doi.org/10.1126/science.aar4426

43. V. Fatemi, S. Wu, Y. Cao, L. Bretheau, Q. D. Gibson, K. Watanabe, T. Taniguchi, R. J. Cava, and P. Jarillo-Herrero, “Electrically tunable low-density superconductivity in a monolayer topological insulator,” Science 362, 926 (2018). https://doi.org/10.1126/science.aar4642

44. D. Kang, Y. Zhou, W. Yi, C. Yang, J. Guo, Y. Shi, Z. Shan Zhang, C. Zhang, S. Jiang, A. Li, K. Yang, Q. Wu, G. Zhang, L. Sun, and Z. Zhao, “Superconductivity emerging from a suppressed large magnetoresistant state in tungsten ditelluride,” Nature Commun. 6, 7804 (2015). https://doi.org/10.1038/ncomms8804

45. Y. Qi, P. G. Naumov, M. N. Ali, C. R. Rajamathi, W. Schnelle, O. Barkalov, M. Hanfland, S.-C. Wu, C. Shekhar, Yan Sun, V. Süß, M. Schmidt, U. Schwarz, E. Pippel, P. Werner, R. Hillebrand, T. Förster, E. Kampert, S. Parkin, R. J. Cava, C. Felser, B. Yan, and S. A. Medvedev, “Superconductivity in weyl semimetal candidate MoTe2,” Nature Commun. 7, 11038 (2016). https://doi.org/10.1038/ncomms11038

46. Y. Xia, Z. Han, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, “Superconductivity in twisted bilayer WSe2,” Nature 637, 833 (2025). https://doi.org/10.1038/s41586-024-08116-2

47. A. V. Parafilo, M. V. Boev, V. M. Kovalev, and I. G. Savenko, “Photogalvanic transport in fluctuating ising superconductors,” Phys. Rev. B 106, 144502 (2022). https://doi.org/10.1103/PhysRevB.106.144502

48. Z.-H. Dong, H. Yang, and Y. Zhang, “Enhanced nonlinear Hall effect by cooper pairs near the superconducting phase transition,” Phys. Rev. B 111, 155120 (2025). https://doi.org/10.1103/PhysRevB.111.155120

49. T. Matsumoto, Y. Yanase, and A. Daido, “Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors,” Phys. Rev. B 111, 064501 (2025). https://doi.org/10.1103/PhysRevB.111.064501

Downloads

Опубліковано

2026-07-28

Як цитувати

(1)
Joaquim Telles de Miranda, Maxim Khodas, and Alex Levchenko, Electrical magnetochiral anisotropy in Rashba superconductors, Low Temp. Phys. 52, 1107–1112, (2026) [Fiz. Nyzk. Temp. 52, 1222–1229, (2026)] DOI: https://doi.org/10.1063/10.0046092.

Номер

Том 52 № 9 (2026)

Розділ

Статті

Завантаження

Дані завантаження ще не доступні.