On the theory of 2D superconductivity: The peculiarities of the Berezinskii–Kosterlitz–Thouless transition and crossover from local to Cooper pairs (Review Article)
DOI (Low Temperature Physics):
https://doi.org/10.1063/10.0046877Ключові слова:
2D superconductivity, Berezinskii–Kosterlitz–Thouless transition, BCS–BEC crossover, s-wave pairing, d-wave pairingАнотація
We have analyzed superconducting properties of a strongly coupled two-dimensional (2D) superconductor with a boson-exchange attraction in the s- and d-wave pairing channels, with a focus on the properties near the Berezinskii–Kosterlitz–Thouless (BKT) transition, and with a more general goal to give a picture of the physics of cuprates at different dopings and temperatures. In the s-channel, we have found that superconductivity exists at all dopings and there is a crossover from the Bardeen–Cooper–Schrieffer (BCS) phase of large Cooper pairs to a state with local pairs, or Bose–Einstein condensation (BEC) phase, at all coupling strengths and bosonic fre quencies. On the other hand, in the d-wave channel, we have found that superconductivity sets in at a finite doping and is suppressed at lower dopings due to a reduced, doping-dependent effective coupling. Moreover, the BCS–BEC crossover is absent in the d-wave channel. One rather unexpected result we found is an oscillatory dependence of the BKT critical temperature on doping in the d-pairing channel that is a result of an oscillatory dependence of the superconducting stiffness on the chemical potential. Obtained results may help to better un derstand superconducting properties of 2D materials, including cuprates, and might be used in modern techno logical applications.
Посилання
1. J. G. Bednorz and K. A. Müller, Z. Physik B 64, 189 (1986). https://doi.org/10.1007/BF01303701
2. T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999). https://doi.org/10.1088/0034-4885/62/1/002
3. J. M. Tranquada, Adv. Phys. 69, 437 (2020). https://doi.org/10.1080/00018732.2021.1935698
4. T. V. Ramakrishnan, preprint arXiv:2501.02351v1 (2025).
5. V. J. Emery and S. A. Kivelson, Nature (London) 374, 434 (1995). https://doi.org/10.1038/374434a0
6. V. M. Loktev, R. M. Quick, and S. G. Sharapov, Phys. Rep. 349, 1 (2001). https://doi.org/10.1016/S0370-1573(00)00114-9
7. P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006). https://doi.org/10.1103/RevModPhys.78.17
8. Y. Wang, L. Li, and N. P. Ong, Phys. Rev. B 73, 024510 (2006). https://doi.org/10.1103/PhysRevB.73.024510
9. B. Uchoa, G. G. Cabrera, and A. H. C. Neto, Phys. Rev. B 71, 184509 (2005). https://doi.org/10.1103/PhysRevB.71.184509
10. B. Uchoa and A. H. C. Neto, Phys. Rev. Lett. 98, 146801 (2007). https://doi.org/10.1103/PhysRevLett.98.146801
11. V. M. Loktev and V. Turkowski, Phys. Rev. B 79, 233402 (2009). https://doi.org/10.1103/PhysRevB.79.233402
12. G. Savini, A. C. Ferrari, and F. Giustino, Phys. Rev. Lett. 105, 037002 (2010). https://doi.org/10.1103/PhysRevLett.105.037002
13. V. M. Loktev and V. Turkowski, J. Low Temp. Phys. 164, 264 (2011). https://doi.org/10.1007/s10909-011-0376-7
14. A. L. Szabó and B. Roy, Phys. Rev. B 103, 205135 (2021). https://doi.org/10.1103/PhysRevB.103.205135
15. D. Qiu, C. Gong, S. S. Wang, M. Zhang, C. Yang, X. Wang, and J. Xiong, Adv. Mater. 33, 2006124 (2021). https://doi.org/10.1002/adma.202006124
16. M. Jiang, Phys. Rev. B 105, 024510 (2022). https://doi.org/10.1103/PhysRevB.105.024510
17. Y. Wang, Z. Chen, T. Shi, B. Moritz, Z.-X. Shen, and T. P. Devereaux, Phys. Rev. Lett. 127, 197003 (2021). https://doi.org/10.1103/PhysRevLett.127.197003
18. Z. Chen, Y. Wang, S. N. Rebec, T. Jia, M. Hashimoto, D. Lu, B. Moritz, R. G. Moore, T. P. Devereaux, and Z.-X. Shen, Science 373, 1235 (2021). https://doi.org/10.1126/science.abf5174
19. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. Kokkelmans, and C. Salomon, Phys. Rev. Lett. 93, 050401 (2004). https://doi.org/10.1103/PhysRevLett.93.050401
20. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 120401 (2004). https://doi.org/10.1103/PhysRevLett.92.120401
21. G. B. Partridge, K. E. Strecker, R. I. Kamar, M. W. Jack, and R. G. Hulet, Phys. Rev. Lett. 95, 020404 (2005). https://doi.org/10.1103/PhysRevLett.95.020404
22. X.-C. Yan, D.-L. Sun, L. Wang, J. Min, S.-G. Peng, and K.-J. Jiang, Chinese Phys. B 31, 016701 (2022). https://doi.org/10.1088/1674-1056/ac0dae
23. V. M. Loktev and V. M. Turkowski, Low Temp. Phys. 30, 179 (2004) [Fiz. Nizk. Temp. 30, 247 (2004)]. https://doi.org/10.1063/1.1645175
24. Q. Chen, Z. Wang, R. Boyack, S. Yang, and K. Levin, Rev. Mod. Phys. 96, 025002 (2024). https://doi.org/10.1103/RevModPhys.96.025002
25. J. Sous, Y. He, and S. A. Kivelson, npj Quantum Mater. 8, 25 (2023). https://doi.org/10.1038/s41535-023-00550-1
26. N. Harrison and M. K. Chan, Phys. Rev. Lett. 129, 017001 (2022). https://doi.org/10.1103/PhysRevLett.129.017001
27. D.-H. Lee, J. Club Condens. Matter Phys. (published online 2017). https://doi.org/10.36471/JCCM_November_2017_01
28. L. Ma, P. X. Nguyen, Z. Wang, Y. Zeng, K. Watanabe, T. Taniguchi, A. H. MacDonald, K. F. Mak, and J. Shan, Nature 598, 585 (2021). https://doi.org/10.1038/s41586-021-03947-9
29. Y. Nakagawa, Y. Kasahara, T. Nomoto, R. Arita, T. Nojima, and Y. Iwasa, Science 372, 190 (2021). https://doi.org/10.1126/science.abb9860
30. T. Shi and W. Zhang, and C. A. R. Sá de Melo, Europhys. Lett. 139, 36003 (2022). https://doi.org/10.1209/0295-5075/ac7ace
31. A. L. Solovjov and V. M. Dmitriev, Low Temp. Phys. 32, 99 (2006) [Fiz. Nizk. Temp. 32, 139 (2006)]. https://doi.org/10.1063/1.2171509
32. A. L. Solovjov and K. Rogacki, Low Temp. Phys. 49, 345 (2023) [Fiz. Nizk. Temp. 49, 375 (2023)]. https://doi.org/10.1063/10.0017238
33. V. M. Loktev and V. Turkowski, Low Temp. Phys. 50, 992 (2024) [Fiz. Nizk. Temp. 50, 1105 (2024)]. https://doi.org/10.1063/10.0030416
34. V. M. Loktev and V. Turkowski, Ukr. J. Phys. 69, 528 (2024). https://doi.org/10.15407/ujpe69.8.528
35. V. M. Loktev and V. Turkowski, Low Temp. Phys. 51, 949 (2025) [Fiz. Nizk. Temp. 51, 1054 (2025)]. https://doi.org/10.1063/10.0037101
36. V. M. Loktev and V. Turkowski, Low Temp. Phys. 52, 493 (2026) [Fiz. Nizk. Temp. 52, 545 (2026)]. https://doi.org/10.1063/10.0043169
37. V. P. Gusynin, V. M. Loktev, and S. G. Sharapov, JETP Lett. 65, 182 (1997). https://doi.org/10.1134/1.567308
38. V. M. Loktev, S. G. Sharapov, and V. M. Turkowski, Physica C 296, 84 (1998). https://doi.org/10.1016/S0921-4534(97)01821-2
39. V. M. Loktev and V. M. Turkowski, JETP 87, 329 (1998). https://doi.org/10.1134/1.558663
40. D. S. Fisher and P. C. Hohenberg, Phys. Rev. B 37, 4936 (1988). https://doi.org/10.1103/PhysRevB.37.4936
41. M. Tinkham, Introduction to Superconductivity, 2nd ed (McGraw-Hill, New York, 1996).
42. A. J. Leggett, Nat. Phys. 2, 134 (2006). https://doi.org/10.1038/nphys254
43. J. Annett, Superconductivity, Superfluids and Condensates (Oxford University Press, New York, 2004).
44. L. Benfatto, C. Castellani, and T. Giamarchi, Phys. Rev. B 80, 214506 (2009). https://doi.org/10.1103/PhysRevB.80.214506
45. E. J. König, A. Levchenko, I. V. Protopopov, I. V. Gornyi, I. S. Burmistrov, and A. D. Mirlin, Phys. Rev. B 92, 214503 (2015). https://doi.org/10.1103/PhysRevB.92.214503
