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Superconductivity and Jahn–Teller effect in bilayer cuprate superconductors

  • Brundabana PradhanEmail author
Regular Article
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Abstract

We have proposed a model Hamiltonian describing the interlayer tunnelling in d-wave bilayer cuprate superconductors in the coexistence of superconductivity and Jahn–Teller effect with the on-site non-magnetic impurity. The Hamiltonian is solved for the quasi-particle energy bands, the superconducting and the Jahn–Teller gap parameters by using Zubarev’s technique of double time electron Green’s functions. The effects of interlayer tunnelling and the strength of non-magnetic potential are studied for superconducting and Jahn–Teller gap parameters. The density of states for both the layers of the bi-layer system is studied and the results are compared with others.

Graphical abstract

Keywords

Solid State and Materials 

References

  1. 1.
    M. Zegrodnik, J. Spałek, Phys. Rev. B 95, 024507 (2017) ADSCrossRefGoogle Scholar
  2. 2.
    P.D. Grigoriev, T. Ziman, JETP Lett. 106, 371 (2017) ADSCrossRefGoogle Scholar
  3. 3.
    K. Byczuk, J. Spałek, Phys. Rev. B 53, R518 (1996) ADSCrossRefGoogle Scholar
  4. 4.
    E. Baldini, A. Mann, B.P.P. Mallett, C. Arrell, F. van Mourik, T. Wolf, D. Mihailovic, J.L. Tallon, C. Bernhard, J. Lorenzana, F. Carbone, Phys. Rev. B 95, 024501 (2017) ADSCrossRefGoogle Scholar
  5. 5.
    K.K. Gomes, A.N. Pasupathy, A. Pushp, S. Ono, Y. Ando, A. Yazdani, Nature (London) 447, 569 (2007) ADSCrossRefGoogle Scholar
  6. 6.
    S.V. Borisenko, A.A. Kordyuk, V. Zabolotnyy, J. Geck, D. Inosov, A. Koitzsch, J. Fink, M. Knupfer, B. Büchner, V. Hinkov, C.T. Lin, B. Keimer, T. Wolf, S.G. Chiuzbǎian, L. Patthey, R. Follath, Phys. Rev. Lett. 96, 117004 (2006) ADSCrossRefGoogle Scholar
  7. 7.
    J.R. Schrieffer, Theory of Superconductivity (Addison-Wesley, San Francisco, 1964) Google Scholar
  8. 8.
    S. Uchida, High Temperature Superconductivity (Springer, Tokyo, Japan, 2015) Google Scholar
  9. 9.
    Y. Lan, J. Qin, S. Feng, Phys. Lett. A 377, 2210 (2013) ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    T. Timusk, B. Statt, Rep. Prog. Phys. 62, 61 (1999) ADSCrossRefGoogle Scholar
  11. 11.
    S. Hüfner, M.A. Hossain, A. Damascelli, G.A. Sawatzky, Rep. Prog. Phys. 71, 062501 (2008) ADSCrossRefGoogle Scholar
  12. 12.
    A.A. Kordyuk, S.V. Borisenko, A.N. Yaresko, S.-L. Drechsler, H. Rosner, T.K. Kim, A. Koitzsch, K.A. Nenkov, M. Knupfer, J. Fink, R. Follath, H. Berger, B. Keimer, S. Ono, Y. Ando, Phys. Rev. B 70, 214525 (2004) ADSCrossRefGoogle Scholar
  13. 13.
    D. Garcia-Aldea, S. Chakravarty, New J. Phys. 12, 105005 (2010) ADSCrossRefGoogle Scholar
  14. 14.
    O.K. Andersen, A.I. Lichtenstein, O. Jepsen, F. Paulsen, J. Phys. Chem. Solids 56, 1573 (1995) ADSCrossRefGoogle Scholar
  15. 15.
    N. Harrison, B.J. Ramshaw, A. Shekhter, Sci. Rep. 5, 10914 (2015) ADSCrossRefGoogle Scholar
  16. 16.
    G. Zhao, Phys. Rev. B 75, 140510(R) (2007) ADSCrossRefGoogle Scholar
  17. 17.
    H. Ding, J.C. Campuzano, A.F. Bellman, T. Yokoya, M.R. Norman, M. Randeria, T. Takahashi, H. Katayama-Yoshida, T. Mochiku, K. Kadowaki, G. Jennings, Phys. Rev. Lett. 74, 2784 (1995) ADSCrossRefGoogle Scholar
  18. 18.
    I. Vobornik, R. Gatt, T. Schmauder, B. Frazer, R.J. Kelley, C. Kendziora, M. Grioni, M. Onellion, G. Margaritondo, Physica C 317-318, 589 (1999) ADSCrossRefGoogle Scholar
  19. 19.
    A. Damascelli, Z. Hussain, Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003) ADSCrossRefGoogle Scholar
  20. 20.
    P.W. Anderson, Science 235, 1196 (1987) ADSCrossRefGoogle Scholar
  21. 21.
    Y. Lan, J. Qin, S. Feng, Phys. Rev. B 75, 134513 (2007) ADSCrossRefGoogle Scholar
  22. 22.
    Y. Lan, J. Qin, S. Feng, Phys. Rev. B 76, 014533 (2007) ADSCrossRefGoogle Scholar
  23. 23.
    S. Feng, H. Guo, Y. Lan, L. Cheng, Int. J. Mod. Phys. B 22, 3757 (2008) ADSCrossRefGoogle Scholar
  24. 24.
    H. Guo, S. Feng, Phys. Lett. A 361, 382 (2007) ADSCrossRefGoogle Scholar
  25. 25.
    S. Feng, H. Zhao, Z. Huang, Phys. Rev. B 85, 054509 (2012) ADSCrossRefGoogle Scholar
  26. 26.
    S. Feng, Phys. Rev. B 68, 184501 (2003) ADSCrossRefGoogle Scholar
  27. 27.
    S. Feng, T. Ma, H. Guo, Physica C 436, 14 (2006) ADSCrossRefGoogle Scholar
  28. 28.
    S. Chakravarty, A. Sudbø, P.W. Anderson, S.P. Strong, Science 261, 337 (1993) ADSCrossRefGoogle Scholar
  29. 29.
    C. Chen, A. Fujimori, C. Ting, Y. Chen, arXiv:1211.3477 (2012)
  30. 30.
    K. Nishiguchi, K. Kuroki, R. Arita, T. Oka, H. Aoki, Phys. Rev. B 88, 014509 (2013) ADSCrossRefGoogle Scholar
  31. 31.
    H. Sakakibara, K. Suzuki, H. Usui, S. Miyao, I. Maruyama, K. Kusakabe, R. Arita, H. Aoki, K. Kuroki, Phys. Rev. B 89, 224505 (2014) ADSCrossRefGoogle Scholar
  32. 32.
    A.V. Balatsky, M.I. Salkola, A. Rosengren, Phys. Rev. B 51, 15547 (1995) ADSCrossRefGoogle Scholar
  33. 33.
    A.V. Balatsky, M.I. Salkola, Phys. Rev. Lett. 76, 2386 (1996) ADSCrossRefGoogle Scholar
  34. 34.
    H.V. Kruis, I. Martin, A.V. Balatsky, Phys. Rev. B 64, 054501 (2001) ADSCrossRefGoogle Scholar
  35. 35.
    M.R. Norman, M. Randeria, H. Ding, J.C. Campuzano, Phys. Rev. B 52, 615 (1995) ADSCrossRefGoogle Scholar
  36. 36.
    D. Zhang, C.S. Ting, Phys. Rev. B 79, 092501 (2009) ADSCrossRefGoogle Scholar
  37. 37.
    D. Zhang, C.S. Ting, Phys. Rev. B 69, 012501 (2004) ADSCrossRefGoogle Scholar
  38. 38.
    D. Zhang, C.S. Ting, Phys. Rev. B 67, 100506(R) (2003) ADSCrossRefGoogle Scholar
  39. 39.
    B. Pradhan, Mod. Phys. Lett. B 33, 1950013 (2019) ADSCrossRefGoogle Scholar
  40. 40.
    G.C. Rout, B. Pradhan, S.N. Behera, Phys. Stat. Sol. (c) 3, 3617 (2006) CrossRefGoogle Scholar
  41. 41.
    E. Pytte, Phys. Rev. B 4, 1094 (1971) ADSCrossRefGoogle Scholar
  42. 42.
    H. Ghosh, S.N. Behera, S.K. Ghatak, D.K. Ray, Physica C 274, 107 (1997) ADSCrossRefGoogle Scholar
  43. 43.
    G.C. Rout, B. Pradhan, S.N. Behera, Physica C 444, 23 (2006) ADSCrossRefGoogle Scholar
  44. 44.
    H. Bruus, K. Flensberg, Introduction to Many-body quantum theory in condensed matter physics (Oxford University Press, 2002) Google Scholar
  45. 45.
    G.D. Mahan, Many-Particle Physics (Kluwer Academic/ Plenum Publishers, 2000) Google Scholar
  46. 46.
    M.S. Magdoń-Maksymowicz, A.Z. Maksymowicz, Phys. Rev. E 81, 051134 (2010) ADSCrossRefGoogle Scholar
  47. 47.
    N.M. Plakida, Physica C 531, 39 (2016) ADSCrossRefGoogle Scholar
  48. 48.
    M.M. Korshunov, S.G. Ovchinnikov, Eur. Phys. J. B 57, 271 (2007) ADSCrossRefGoogle Scholar
  49. 49.
    A.A. Vladimirov, D. Ihle, N.M. Plakida, Phys. Rev. B 80, 104425 (2009) ADSCrossRefGoogle Scholar
  50. 50.
    D.N. Zubarev, Sov. Phys. Usp. 3, 320 (1960) ADSCrossRefGoogle Scholar
  51. 51.
    B. Pradhan, Indian J. Phys. 84, 279 (2010) ADSCrossRefGoogle Scholar
  52. 52.
    B. Pradhan, S.K. Goi, R.N. Mishra, SPIN (World Scientific) 8, 1850001 (2018) ADSCrossRefGoogle Scholar
  53. 53.
    B. Pradhan, S.K. Goi, R.N. Mishra, Solid State Commn. 248, 110 (2016) ADSCrossRefGoogle Scholar
  54. 54.
    F. Novelli, G. Giovannetti, A. Avella, F. Cilento, L. Patthey, M. Radovic, M. Capone, F. Parmigiani, D. Fausti, Phys. Rev. B 95, 174524 (2017) ADSCrossRefGoogle Scholar
  55. 55.
    J. Nieminen, H. Lin, R.S. Markiewicz, A. Bansil, Phys. Rev. Lett. 102, 037001 (2009) ADSCrossRefGoogle Scholar
  56. 56.
    J. Nieminen, I. Suominen, R.S. Markiewicz, H. Lin, A. Bansil, Phys. Rev. B 80, 134509 (2009) ADSCrossRefGoogle Scholar
  57. 57.
    I. Suominen, J. Nieminen, R.S. Markiewicz, A. Bansil, Phys. Rev. B 83, 024501 (2011) ADSCrossRefGoogle Scholar
  58. 58.
    R.S. Markiewicz, S. Sahrakorpi, A. Bansil, Phys. Rev. B 76, 174514 (2007) ADSCrossRefGoogle Scholar
  59. 59.
    K. McElroy, J. Lee, J.A. Slezak, D.-H. Lee, H. Eisaki, S. Uchida, J.C. Davis, Science 309, 1048 (2005) ADSCrossRefGoogle Scholar
  60. 60.
    K. Nishiguchi, S. Teranishi, K. Kusakabe, H. Aoki, arXiv:1806.04354v1 (2018)
  61. 61.
    K. Matsumoto, D. Ogura, K. Kuroki, Phys. Rev. B 97, 014516 (2018) ADSCrossRefGoogle Scholar
  62. 62.
    T. Li, D.-W. Yao, arXiv:1803.08226v1 (2018)
  63. 63.
    P.A. Lee, Phys. Rev. X 4, 031017 (2014) Google Scholar
  64. 64.
    R. Requist, E.K.U. Gross, arxiv:1809.07719v1 (2018)
  65. 65.
    S. Baruch, D. Orgad, Phys. Rev. B 77, 174502 (2008) ADSCrossRefGoogle Scholar
  66. 66.
    E. Berg, E. Franklin, S.A. Kivelson, J.M. Tranquada, New J. Phys. 11, 115004 (2009) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsBJB CollegeBhubaneswarIndia

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