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Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor

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Abstract

We studied the strong-coupling effect upon an isolated vortex in a two-dimensional chiral p-wave superconductor. We solved the Eilenberger equation for the quasiclassical Green’s functions and the Éliashberg equation with single-mode Einstein boson self-consistently. We calculated the free energy of each obtained vortex and found that a non-axisymmetric vortex metastably exists in some situation.

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Notes

  1. With this parameter, the ratio of the energy gap to the critical temperature (\(2{\varDelta }/T_{\text {c}}\)) is about \(5.6\) at \(T=0.02T_{\text {c}}\). For example, CeCoIn\(_5\) exhibits such a large value (\(\approx 6\)) [25].

References

  1. A.B. Migdal, Sov. Phys. JETP 7, 996 (1958)

    Google Scholar 

  2. G.M. Éliashberg, Sov. Phys. JETP 11, 696 (1960)

    Google Scholar 

  3. P. Morel, P.W. Anderson, Phys. Rev. 125, 1263 (1962)

    Article  ADS  Google Scholar 

  4. D.J. Scalapino, in Superconductivity, ed. by R.D. Parks (Marcel Dekker, Inc., New York, 1969)

  5. W.L. McMillan, J.M. Rowell, in Superconductivity, ed. by R.D. Parks (Marcel Dekker, Inc., New York, 1969)

  6. J.P. Carbotte, Rev. Mod. Phys. 62, 1027 (1990)

    Article  ADS  Google Scholar 

  7. F. Marsiglio, J.P. Carbotte, Phys. Rev. B 43, 5355 (1991)

    Article  ADS  Google Scholar 

  8. R. Combescot, Phys. Rev. B 51, 11625 (1995)

    Article  ADS  Google Scholar 

  9. Y. Maeno, H. Hashimoto, K. Yoshida, S. Nishizaki, T. Fujita, J.G. Bednorz, F. Lichtenberg, Nature 372, 532 (1994)

    Article  ADS  Google Scholar 

  10. A.P. Mackenzie, Y. Maeno, Rev. Mod. Phys. 75, 657 (2003)

    Article  ADS  Google Scholar 

  11. M. Sigrist, Prog. Theor. Phys. Suppl. 160, 1 (2005)

    Article  ADS  Google Scholar 

  12. Y. Maeno, S. Kittaka, T. Nomura, S. Yonezawa, K. Ishida, J. Phys. Soc. Jpn. 81, 011009 (2012)

    Article  ADS  Google Scholar 

  13. G.E. Volovik, JETP Lett. 70, 609 (1999)

    Article  ADS  Google Scholar 

  14. M. Matsumoto, M. Sigrist, Phys. B 281&282, 973 (2000)

    Article  Google Scholar 

  15. Y. Kato, J. Phys. Soc. Jpn. 69, 3378 (2000)

    Article  ADS  Google Scholar 

  16. N. Hayashi, Y. Kato, M. Sigrist, J. Low Temp. Phys. 139, 79 (2005)

    ADS  Google Scholar 

  17. Y. Tanuma, N. Hayashi, Y. Tanaka, A.A. Golubov, Phys. Rev. Lett. 102, 117003 (2009)

    Article  ADS  Google Scholar 

  18. J.A. Sauls, M. Eschrig, New J. Phys. 11, 075008 (2009)

  19. N. Kurosawa, N. Hayashi, E. Arahata, Y. Kato, J. Low Temp. Phys. 175, 365 (2013)

    Article  ADS  Google Scholar 

  20. N. Kurosawa, N. Hayashi, Y. Kato, J. Phys. Soc. Jpn. 84, 114710 (2015)

    Article  ADS  Google Scholar 

  21. K.K. Tanaka, M. Ichioka, S. Onari, Phys. Rev. B 93, 094507 (2016)

    Article  ADS  Google Scholar 

  22. Y. Tanaka, M. Sato, N. Nagaosa, J. Phys. Soc. Jpn. 81, 011013 (2012)

    Article  ADS  Google Scholar 

  23. G.E. Eilenberger, Z. Phys. 214, 195 (1968)

    Article  ADS  Google Scholar 

  24. A.I. Larkin, Y.N. Ovchinnikov, Sov. Phys. JETP 28, 1200 (1968)

    ADS  Google Scholar 

  25. W.K. Park, J.L. Sarrao, J.D. Thompson, L.H. Greene, Phys. Rev. Lett. 100, 177001 (2008)

    Article  ADS  Google Scholar 

  26. J.W. Serene, D. Rainer, Phys. Rep. 101, 221 (1983)

    Article  ADS  Google Scholar 

  27. E.V. Thuneberg, J. Kurkijärvi, D. Rainer, Phys. Rev. B 29, 3913 (1984)

    Article  ADS  Google Scholar 

  28. R. Heeb, D.F. Agterberg, Phys. Rev. B 59, 7076 (1999)

    Article  ADS  Google Scholar 

  29. Y. Nagato, K. Nagai, J. Hara, J. Low Temp. Phys. 93, 33 (1993)

    Article  ADS  Google Scholar 

  30. N. Schophol, K. Maki, Phys. Rev. B 52, 490 (1995)

    Article  ADS  Google Scholar 

  31. E.V. Thuneberg, Phys. Rev. Lett. 56, 359 (1986)

    Article  ADS  Google Scholar 

  32. E.V. Thuneberg, Phys. Rev. B 36, 3583 (1987)

    Article  ADS  Google Scholar 

  33. M.M. Salomaa, G.E. Volovik, Phys. Rev. Lett. 56, 363 (1986)

    Article  ADS  Google Scholar 

  34. M. Fogelström, J. Kurkijärvi, J. Low Temp. Phys. 98, 195 (1995)

    Article  ADS  Google Scholar 

  35. Y. Tsutsumi, T. Kawakami, K. Shiozaki, M. Sato, K. Machida, Phys. Rev. B 91, 144504 (2015)

    Article  ADS  Google Scholar 

  36. M.A. Silaev, E. Thuneberg, M. Fogelström, Phys. Rev. Lett. 115, 235301 (2015)

    Article  ADS  Google Scholar 

  37. Y. Kondo, J.S. Korhonen, M. Krusius, V.V. Dmitriev, Y.M. Mukharsky, E.B. Sonin, G.E. Volovik, Phys. Rev. Lett. 67, 81 (1991)

    Article  ADS  Google Scholar 

  38. Y. Tsutsumi, K. Machida, T. Ohmi, M. Ozawa, J. Phys. Soc. Jpn. 81, 074717 (2012)

    Article  ADS  Google Scholar 

  39. K. Aoyama, R. Ikeda, J. Low Temp. Phys. 158, 404 (2010)

    Article  ADS  Google Scholar 

  40. K. Aoyama, R. Ikeda, Phys. Rev. B 82, 144514 (2010)

    Article  ADS  Google Scholar 

  41. T.A. Tokuyasu, D.W. Hess, J.A. Sauls, Phys. Rev. B 41, 8891 (1990)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We thank J. A. Sauls and Y. Tsutsumi for helpful discussions. This work was supported by JSPS KAKENHI Grant Number 15K05160.

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Correspondence to Noriyuki Kurosawa.

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Kurosawa, N., Kato, Y. Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor. J Low Temp Phys 187, 538–544 (2017). https://doi.org/10.1007/s10909-016-1692-8

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