Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Nonunitary triplet pairing in the noncentrosymmetric superconductor LaNiC2

  • 284 Accesses

  • 1 Citations

Abstract

We present a first-principles based semiphenomenological approach to study the superconductivity in the noncentrosymmetric superconductor LaNiC2 with spin–orbit coupling. Based on group theoretical considerations, it was already shown that the breaking of time-reversal symmetry is only compatible with nonunitary triplet pairing states. To investigate the pairing mechanism by which this comes about and the possible role of the lack of inversion symmetry, we have combined the relativistic spin-polarized version of Korringa–Kohn–Rostoker method for the solution of the Dirac–Bogoliubov–de Gennes equations with a semiphenomenological parametrization of the pairing interaction. This made possible to study different orbital specific pairing models in quantitative details. We compare our predictions for the temperature dependence of the specific heat and it is found that it can be described by an interorbital equal-spin pairing on the nickel which breaks the time-reversal symmetry.

References

  1. 1.

    M. Smidman, M.B. Salamon, H.Q. Yuan, D.F. Agterberg, Rep. Prog. Phys. 80, 036501 (2017)

  2. 2.

    A.D. Hillier, J. Quintanilla, R. Cywinski, Phys. Rev. Lett. 102, 117007 (2009)

  3. 3.

    R.H. Heffner, J.L. Smith, J.O. Willis, P. Birrer, C. Baines, F.N. Gygax, B. Hitti, E. Lippelt, H.R. Ott, A. Schenck, E.A. Knetsch, J.A. Mydosh, D.E. MacLaughlin, Phys. Rev. Lett. 65, 2816 (1990)

  4. 4.

    G.M. Luke, Y. Fudamoto, K.M. Kojima, M.I. Larkin, J. Merrin, B. Nachumi, Y.J. Uemura, Y. Maeno, Z.Q. Mao, Y. Mori, H. Nakamura, M. Sigrist, Nature 394, 558 (1998)

  5. 5.

    G.M. Luke, A. Keren, L.P. Le, W.D. Wu, Y.J. Uemura, D.A. Bonn, L. Taillefer, J.D. Garrett, Phys. Rev. Lett. 71, 1466 (1993)

  6. 6.

    Y. Aoki, A. Tsuchiya, T. Kanayama, S.R. Saha, H. Sugawara, H. Sato, W. Higemoto, A. Koda, K. Ohishi, K. Nishiyama, R. Kadono, Phys. Rev. Lett. 91, 067003 (2003)

  7. 7.

    L. Shu, W. Higemoto, Y. Aoki, A.D. Hillier, K. Ohishi, K. Ishida, R. Kadono, A. Koda, O.O. Bernal, D.E. MacLaughlin, Y. Tunashima, Y. Yonezawa, S. Sanada, D. Kikuchi, H. Sato, H. Sugawara, T.U. Ito, M.B. Maple, Phys. Rev. B 83, 100504 (2011)

  8. 8.

    A. Maisuradze, W. Schnelle, R. Khasanov, R. Gumeniuk, M. Nicklas, H. Rosner, A. Leithe-Jasper, Y. Grin, A. Amato, P. Thalmeier, Phys. Rev. B 82, 024524 (2010)

  9. 9.

    A.D. Hillier, J. Quintanilla, B. Mazidian, J.F. Annett, R. Cywinski, Phys. Rev. Lett. 109, 097001 (2012)

  10. 10.

    P.K. Biswas, H. Luetkens, T. Neupert, T. Stürzer, C. Baines, G. Pascua, A.P. Schnyder, M.H. Fischer, J. Goryo, M.R. Lees, H. Maeter, F. Brückner, H.-H. Klauss, M. Nicklas, P.J. Baker, A.D. Hillier, M. Sigrist, A. Amato, D. Johrendt, Phys. Rev. B 87, 180503 (2013)

  11. 11.

    R.P. Singh, A.D. Hillier, B. Mazidian, J. Quintanilla, J.F. Annett, D.M. Paul, G. Balakrishnan, M.R. Lees, Phys. Rev. Lett. 112, 107002 (2014)

  12. 12.

    D.A. Mayoh, J.A.T. Barker, R.P. Singh, G. Balakrishnan, D.M. Paul, M.R. Lees, Phys. Rev. B 96, 064521 (2017)

  13. 13.

    T. Shang, G.M. Pang, C. Baines, W.B. Jiang, W. Xie, A. Wang, M. Medarde, E. Pomjakushina, M. Shi, J. Mesot, H.Q. Yuan, T. Shiroka, Phys. Rev. B 97, 020502 (2018)

  14. 14.

    A. Bhattacharyya, D.T. Adroja, J. Quintanilla, A.D. Hillier, N. Kase, A.M. Strydom, J. Akimitsu, Phys. Rev. B 91, 060503 (2015)

  15. 15.

    J.A.T. Barker, D. Singh, A. Thamizhavel, A.D. Hillier, M.R. Lees, G. Balakrishnan, D.M. Paul, R.P. Singh, Phys. Rev. Lett. 115, 267001 (2015)

  16. 16.

    T. Watashige, Y. Tsutsumi, T. Hanaguri, Y. Kohsaka, S. Kasahara, A. Furusaki, M. Sigrist, C. Meingast, T. Wolf, H. Löhneysen, T. Shibauchi, Y. Matsuda, Phys. Rev. X 5, 031022 (2015)

  17. 17.

    W. Lee, H. Zeng, Y. Yao, Y. Chen, Physica C 266, 138 (1996)

  18. 18.

    I. Bonalde, R.L. Ribeiro, K.J. Syu, H.H. Sung, W.H. Lee, New J. Phys. 13, 123022 (2011)

  19. 19.

    J.F. Landaeta, D. Subero, P. Machado, F. Honda, I. Bonalde, Phys. Rev. B 96, 174515 (2017)

  20. 20.

    Y. Hirose, T. Kishino, J. Sakaguchi, Y. Miura, F. Honda, T. Takeuchi, E. Yamamoto, Y. Haga, H. Harima, R. Settai, Y. Ōnuki, J. Phys. Soc. Jpn. 81, 113703 (2012)

  21. 21.

    J. Chen, L. Jiao, J.L. Zhang, Y. Chen, L. Yang, M. Nicklas, F. Steglich, H.Q. Yuan, New J. Phys. 15, 053005 (2013)

  22. 22.

    Y. Iwamoto, Y. Iwasaki, K. Ueda, T. Kohara, Phys. Lett. A 250, 439 (1998)

  23. 23.

    S. Katano, K. Shibata, K. Nakashima, Y. Matsubara, Phys. Rev. B 95, 144502 (2017)

  24. 24.

    J. Chen, L. Jiao, J.L. Zhang, Y. Chen, L. Yang, H.Q. Yuan, J.Korean Phys. Soc. 63, 463 (2013)

  25. 25.

    A. Sumiyama, D. Kawakatsu, J. Gouchi, A. Yamaguchi, G. Motoyama, Y. Hirose, R. Settai, Y. Ōnuki, J. Phys. Soc. Jpn. 84, 013702 (2015)

  26. 26.

    J. Quintanilla, A.D. Hillier, J.F. Annett, R. Cywinski, Phys. Rev. B 82, 174511 (2010)

  27. 27.

    B.L. Gyorffy, Z. Szotek, W.M. Temmerman, O.K. Andersen, O. Jepsen, Phys. Rev. B 58, 1025 (1998)

  28. 28.

    K. Capelle, E.K.U. Gross, Phys. Rev. B 59, 7140 (1999)

  29. 29.

    K. Capelle, E.K.U. Gross, Phys. Rev. B 59, 7155 (1999)

  30. 30.

    G. Csire, A. Deák, B. Nyári, H. Ebert, J.F. Annett, B. Újfalussy, Phys. Rev. B 97, 024514 (2018)

  31. 31.

    A. Linscheid, A. Sanna, F. Essenberger, E.K.U. Gross, Phys. Rev. B 92, 024505 (2015)

  32. 32.

    A. Linscheid, A. Sanna, E.K.U. Gross, Phys. Rev. B 92, 024506 (2015)

  33. 33.

    M.A.L. Marques, M. Lüders, N.N. Lathiotakis, G. Profeta, A. Floris, L. Fast, A. Continenza, E.K.U. Gross, S. Massidda, Phys. Rev. B 72, 024546 (2005)

  34. 34.

    A. Floris, G. Profeta, N.N. Lathiotakis, M. Lüders, M.A.L. Marques, C. Franchini, E.K.U. Gross, A. Continenza, S. Massidda, Phys. Rev. Lett. 94, 037004 (2005)

  35. 35.

    A. Floris, A. Sanna, S. Massidda, E.K.U. Gross, Phys. Rev. B 75, 054508 (2007)

  36. 36.

    C. Bersier, A. Floris, P. Cudazzo, G. Profeta, A. Sanna, F. Bernardini, M. Monni, S. Pittalis, S. Sharma, H. Glawe, A. Continenza, S. Massidda, E.K.U. Gross, J. Phys.: Condens. Matter 21, 164209 (2009)

  37. 37.

    S. Massidda, F. Bernardini, C. Bersier, A. Continenza, P. Cudazzo, A. Floris, H. Glawe, M. Monni, S. Pittalis, G. Profeta, A. Sanna, S. Sharma, E.K.U. Gross, Supercond. Sci. Technol. 22, 034006 (2009)

  38. 38.

    A. Sanna, G. Profeta, S. Massidda, E.K.U. Gross, Phys. Rev. B 86, 014507 (2012)

  39. 39.

    J.A. Flores-Livas, M. Amsler, C. Heil, A. Sanna, L. Boeri, G. Profeta, C. Wolverton, S. Goedecker, E.K.U. Gross, Phys. Rev. B 93, 020508 (2016)

  40. 40.

    A.J. Flores-Livas, A. Sanna, K.E. Gross, Eur. Phys. J. B 89, 63 (2016)

  41. 41.

    W.M. Temmerman, Z. Szotek, B.L. Gyorffy, O.K. Andersen, O. Jepsen, Phys. Rev. Lett. 76, 307 (1996)

  42. 42.

    Z. Szotek, B.L. Gyorffy, W.M. Temmerman, O.K. Andersen, O. Jepsen, J. Phys.: Condens. Matter 13, 8625 (2001)

  43. 43.

    G. Csire, B. Újfalussy, J. Cserti, B. Győrffy, Phys. Rev. B 91, 165142 (2015)

  44. 44.

    G. Csire, J. Cserti, B. Újfalussy, J. Phys.: Condens. Matter 28, 495701 (2016)

  45. 45.

    G. Csire, S. Schönecker, B. Újfalussy, Phys. Rev. B 94, 140502 (2016)

  46. 46.

    A. Subedi, D.J. Singh, Phys. Rev. B 80, 094413 (2009)

  47. 47.

    J. Laverock, T.D. Haynes, C. Utfeld, S.B. Dugdale, Phys. Rev. B 80, 125111 (2009)

  48. 48.

    I. Hase, T. Yanagisawa, J. Phys. Soc. Jpn. 78, 084724 (2009)

  49. 49.

    T. Yanagisawa, I. Hase, J. Phys. Soc. Jpn. 81, SB039 (2012)

  50. 50.

    B. Wiendlocha, R. Szczśniak, A.P. Durajski, M. Muras, Phys. Rev. B 94, 134517 (2016)

  51. 51.

    P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G.L. Chiarotti, M. Cococcioni, I. Dabo, A.D. Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A.P. Seitsonen, A. Smogunov, P. Umari, R.M. Wentzcovitch, J. Phys.: Condens. Matter 21, 395502 (2009)

  52. 52.

    S. Katano, H. Nakagawa, K. Matsubayashi, Y. Uwatoko, H. Soeda, T. Tomita, H. Takahashi, Phys. Rev. B 90, 220508 (2014)

  53. 53.

    W. Schäfer, G. Will, J. Yakinthos, P. Kotsanidis, J. Alloys Compd. 180, 251 (1992)

  54. 54.

    V.P. Antropov, M.I. Katsnelson, M. van Schilfgaarde, B.N. Harmon, Phys. Rev. Lett. 75, 729 (1995)

  55. 55.

    H. Ebert, H. Freyer, A. Vernes, G.-Y. Guo, Phys. Rev. B 53, 7721 (1996)

  56. 56.

    Z.F. Weng, J.L. Zhang, M. Smidman, T. Shang, J. Quintanilla, J.F. Annett, M. Nicklas, G.M. Pang, L. Jiao, W.B. Jiang, Y. Chen, F. Steglich, H.Q. Yuan, Phys. Rev. Lett. 117, 027001 (2016)

  57. 57.

    A. Georges, L. de Medici, J. Mravlje, Annu. Rev. Condens. Matter Phys. 4, 137 (2013)

  58. 58.

    M. Lüders, M.A.L. Marques, N.N. Lathiotakis, A. Floris, G. Profeta, L. Fast, A. Continenza, S. Massidda, E.K.U. Gross, Phys. Rev. B 72, 024545 (2005)

  59. 59.

    M.A.L. Marques, M. Lüders, N.N. Lathiotakis, G. Profeta, A. Floris, L. Fast, A. Continenza, E.K.U. Gross, S. Massidda, Phys. Rev. B 72, 024546 (2005)

  60. 60.

    F. Essenberger, A. Sanna, A. Linscheid, F. Tandetzky, G. Profeta, P. Cudazzo, E.K.U. Gross, Phys. Rev. B 90, 214504 (2014)

  61. 61.

    F. Essenberger, A. Sanna, P. Buczek, A. Ernst, L. Sandratskii, E.K.U. Gross, Phys. Rev. B 94, 014503 (2016)

Download references

Author information

Correspondence to Gábor Csire.

Additional information

Contribution to the Topical Issue “Special issue in honor of Hardy Gross”, edited by C.A. Ullrich, F.M.S. Nogueira, A. Rubio, and M.A.L. Marques.

Rights and permissions

Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://doi.org/creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Csire, G., Újfalussy, B. & Annett, J.F. Nonunitary triplet pairing in the noncentrosymmetric superconductor LaNiC2. Eur. Phys. J. B 91, 217 (2018). https://doi.org/10.1140/epjb/e2018-90095-7

Download citation