Skip to main content
SpringerLink
Log in

London penetration depth in the ensemble of spin polarons of cuprate superconductors

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

Within the spin-polaron concept for hole-doped cuprates superconductors the temperature and doping dependence of the London penetration depth λ is studied. To calculate λ we developed a novel approach which (i) does not suppose the analytical expression for the quasiparticle spectrum to be known in advance, and (ii) allows to take into account the strong coupling between a spin localized on the copper ion and a hole residing on the four nearest oxygen ions rigorously. Within this approach the expression for supercurrent density j⃗ is obtained in the long-wavelength limit for external magnetic field vector potential. It is shown that j⃗ is mainly due to the spin-polaron quasiparticles rather then bare oxygen holes. Temperature dependence of λ−2 at various doping is calculated and compared with available experimental data. It is argued that the inflection point revealed experimentally in the temperature behavior of λ−2 in La1.83Sr0.17CuO4 may be considered as a manifestation of the spin-polaron nature of quasiparticles in cuprates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P.W. Anderson, Science 235, 1196 (1987)

    ADS  Google Scholar 

  2. L.A. Maksimov, A.F. Barabanov, R.O. Kuzian, Phys. Lett. A 232, 286 (1997)

    ADS  Google Scholar 

  3. A.F. Barabanov, O.V. Urazaev, A.A. Kovalev, L.A. Maksimov, JETP Lett. 68, 412 (1998)

    ADS  Google Scholar 

  4. R.O. Kuzian, A.F. Barabanov, L.B. Litinskii, Phys. Lett. A 273, 345 (2000)

    ADS  Google Scholar 

  5. A. Ramšak, P. Prelovšek, Phys. Rev. B 42, 10415 (1990)

    ADS  Google Scholar 

  6. V.V. Val’kov, M.M. Korovushkin, A.F. Barabanov, JETP Lett. 88, 370 (2008)

    ADS  Google Scholar 

  7. A.F. Barabanov, L.A. Maksimov, L.E. Zhukov, Physica C 212, 375 (1993)

    ADS  Google Scholar 

  8. A.F. Barabanov, V.M. Berezovskii, E. Zasinas, L.A. Maksimov, JETP 83, 819 (1996)

    ADS  Google Scholar 

  9. A.F. Barabanov, R.O. Kuzian, L.A. Maksimov, Phys. Rev. B 55, 4015 (1997)

    ADS  Google Scholar 

  10. R.O. Kuzian, R. Hayn, A.F. Barabanov, L.A. Maksimov, Phys. Rev. B 58, 6194 (1998)

    ADS  Google Scholar 

  11. A.F. Barabanov, L.A. Maksimov, G.V. Uimin, JETP Lett. 47, 622 (1988)

    ADS  Google Scholar 

  12. J. Zaanen, A.M. Oleś, Phys. Rev. B 37, 9423 (1988)

    ADS  Google Scholar 

  13. V.J. Emery, G. Reiter, Phys. Rev. B 38, 4547 (1988)

    ADS  Google Scholar 

  14. P. Prelovšek, Phys. Lett. A 126, 287 (1988)

    ADS  Google Scholar 

  15. E.B. Stechel, D.R. Jennison, Phys. Rev. B 38, 4632 (1988)

    ADS  Google Scholar 

  16. A.F. Barabanov, L.A. Maksimov, G.V. Uimin, Sov. Phys. JETP 69, 371 (1989)

    Google Scholar 

  17. H. Matsukawa, H. Fukuyama, J. Phys. Soc. Jpn. 58, 2845 (1989)

    ADS  Google Scholar 

  18. A. Ramšak, P. Prelovšek, Phys. Rev. B 40, 2239 (1989)

    ADS  Google Scholar 

  19. V.J. Emery, Phys. Rev. Lett. 58, 2794 (1987)

    ADS  Google Scholar 

  20. C.M. Varma, S. Schmitt-Rink, E. Abrahams, Solid State Commun. 62, 681 (1987)

    ADS  Google Scholar 

  21. J.E. Hirsch, Phys. Rev. Lett. 59, 228 (1987)

    ADS  Google Scholar 

  22. Yu.B. Gaididei, V.M. Loktev, Phys. Status Solidi B 147, 307 (1988)

    ADS  Google Scholar 

  23. S.G. Ovchinnikov, I.S. Sandalov, Physica C 161, 607 (1989)

    ADS  Google Scholar 

  24. J.C. Hubbard, Proc. R. Soc. A 276, 238 (1963)

    ADS  Google Scholar 

  25. K.A. Chao, J. Spalek, A.M. Oles, J. Phys. C: Solid State Phys. 10, L271 (1977)

    ADS  Google Scholar 

  26. R. Zwanzig, Phys. Rev. 124, 983 (1961)

    ADS  Google Scholar 

  27. H. Mori, Prog. Theor. Phys. 33, 423 (1965)

    ADS  Google Scholar 

  28. L.M. Roth, Phys. Rev. Lett. 20, 1431 (1968)

    ADS  Google Scholar 

  29. L.M. Roth, Phys. Rev. 184, 451 (1969)

    ADS  Google Scholar 

  30. D.J. Rowe, Rev. Mod. Phys. 40, 153 (1968)

    ADS  Google Scholar 

  31. Y.A. Tserkovnikov, Teor. Mat. Fiz. 49, 219 (1981)

    MathSciNet  Google Scholar 

  32. Y.A. Tserkovnikov, Theor. Math. Phys. 52, 712 (1982)

    Google Scholar 

  33. N.M. Plakida,High-Temperature Cuprate Superconductors (Springer, Berlin, 2010)

  34. W. Nolting, A.M. Oles, J. Phys. C: Solid St. Phys. 13, 2295 (1980)

    ADS  Google Scholar 

  35. F. Mancini, A. Avella, Adv. Phys. 53, 537 (2004)

    ADS  Google Scholar 

  36. A. Avella, F. Mancini, inTheoretical Methods for Strongly Correlated Systems, Springer Series in Solid-State Sciences (Springer-Verlag, Berlin, 2012), Vol. 171, p. 103

  37. A. Avella, Eur. Phys. J. B 87, 45 (2014)

    ADS  Google Scholar 

  38. A. Avella, Adv. Cond. Matt. Phys. 2014, 515698 (2014)

    Google Scholar 

  39. J. Kondo, K. Yamaji, Prog. Theor. Phys. 47, 807 (1972)

    ADS  Google Scholar 

  40. M. Takahashi, Phys. Rev. B 40, 2494 (1989)

    ADS  Google Scholar 

  41. H. Shimahara, S. Takada, J. Phys. Soc. Jpn. 60, 2394 (1991)

    ADS  Google Scholar 

  42. V.V. Val’kov, D.M. Dzebisashvili, JETP 100, 608 (2005)

    ADS  Google Scholar 

  43. M.M. Korshunov, S.G. Ovchinnikov, Eur. Phys. J. B 57, 271 (2007)

    ADS  Google Scholar 

  44. A.F. Barabanov, A.V. Mikheenkov, A.V. Shvartsberg, Theor. Math. Phys. 168, 1192 (2011)

    Google Scholar 

  45. A. Sherman, Phys. Lett. A 309, 482 (2003)

    ADS  Google Scholar 

  46. F.C. Zhang, T.M. Rice, Phys. Rev. B 37, 3759 (1988)

    ADS  Google Scholar 

  47. A. Damascelli, Z. Hussain, Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003)

    ADS  Google Scholar 

  48. A.F. Barabanov, R.O. Kuzian, L.A. Maksimov, J. Phys: Condens. Matter 3, 9129 (1991)

    ADS  Google Scholar 

  49. O.A. Starykh, O.F. de Alcantara Bonfim, G.F. Reiter, Phys. Rev. B 52, 12534 (1995)

    ADS  Google Scholar 

  50. A.F. Barabanov, E. Zasinas, O.V. Urazaev, L.A. Maksimov, JETP Lett. 66, 182 (1997)

    ADS  Google Scholar 

  51. A.F. Barabanov, A.A. Kovalev, O.V. Urazaev, A.M. Belemuk, R. Hayn, JETP 92, 677 (2001)

    ADS  Google Scholar 

  52. R.O. Kuzian, R. Hayn, A.F. Barabanov, Phys. Rev. B 68, 195106 (2003)

    ADS  Google Scholar 

  53. T. Yoshida, X.J. Zhou, D.H. Lu, S. Komiya, Y. Ando, H. Eisaki, T. Kakeshita, S. Uchida, Z. Hussain, Z.-X. Shen, A. Fujimori, J. Phys: Condens. Matter 19, 125209 (2007)

    ADS  Google Scholar 

  54. D.M. Dzebisashvili, V.V. Val’kov, A.F. Barabanov, JETP Lett. 98, 528 (2013)

    ADS  Google Scholar 

  55. V.V. Val’kov, D.M. Dzebisashvili, A.F. Barabanov, JETP 118, 959 (2014)

    ADS  Google Scholar 

  56. V.V. Val’kov, D.M. Dzebisashvili, A.F. Barabanov, Phys. Lett. A 379, 421 (2015)

    Google Scholar 

  57. V.V. Val’kov, D.M. Dzebisashvili, A.F. Barabanov, J. Low Temp. Phys. 181, 134 (2015)

    ADS  Google Scholar 

  58. V.V. Val’kov, D.M. Dzebisashvili, A.F. Barabanov, J. Supercond. Nov. Magn. 29, 1049 (2016)

    Google Scholar 

  59. V.V. Val’kov, D.M. Dzebisashvili, M.M. Korovuskin, A.F. Barabanov, JETP Lett. 103, 385 (2016)

    ADS  Google Scholar 

  60. V.V. Val’kov, D.M. Dzebisashvili, M.M. Korovuskin, A.F. Barabanov, J. Magn. Magn. Mater. 440, 123 (2017)

    ADS  Google Scholar 

  61. V.V. Val’kov, D.M. Dzebisashvili, M.M. Korovuskin, A.F. Barabanov, JETP 125, 810 (2017)

    ADS  Google Scholar 

  62. J.R. Schriffer,Theory of Superconductivity (Benjamin, New York, 1964)

  63. M. Tinkham,Introduction to Superconductivity (McGraw-Hill, New York, 1996)

  64. S.B. Nam, Phys. Rev. 156, 470 (1967)

    ADS  Google Scholar 

  65. D.J. Scalapino, S.R. White, S.C. Zhang, Phys. Rev. Lett. 68, 2830 (1992)

    ADS  Google Scholar 

  66. S. Misawa, Phys. Rev. B 51, 11791 (1995)

    ADS  Google Scholar 

  67. W.A. Atkinson, J.P. Carbotte, Phys. Rev. B 52, 10601 (1995)

    ADS  Google Scholar 

  68. L. Benfatto, S. Caprara, C. Di Castro, Eur. Phys. J. B 17, 95 (2000)

    ADS  Google Scholar 

  69. D.E. Sheehy, T.P. Davis, M. Franz, Phys. Rev. B 70, 054510 (2004)

    ADS  Google Scholar 

  70. M.V. Eremin, I.A. Larionov, I.E. Lyubin, J. Phys: Condens. Matter 22, 185704 (2010)

    ADS  Google Scholar 

  71. Z. Huang, H. Zhao, S. Feng, Phys. Rev. B 83, 144524 (2011)

    ADS  Google Scholar 

  72. I. Bozovic, X. He, J. Wu, A.T. Bollinger, Nature 536, 309 (2016)

    ADS  Google Scholar 

  73. W.N. Hardy, D.A. Bonn, D.C. Morgan, R. Liang, K. Zhang, Phys. Rev. Lett. 70, 3999 (1993)

    ADS  Google Scholar 

  74. J.E. Sonier, J.H. Brewer, R.F. Kiefl, G.D. Morris, R.I. Miller, D.A. Bonn, J. Chakhalian, R.H. Heffner, W.N. Hardy, R. Liang, Phys. Rev. Lett. 83, 4156 (1999)

    ADS  Google Scholar 

  75. C. Panagopoulos, B.D. Rainford, J.R. Cooper, W. Lo, J.L. Tallon, J.W. Loram, J. Betouras, Y.S. Wang, C.W. Chu, Phys. Rev. B 60, 14617 (1999)

    ADS  Google Scholar 

  76. R. Khasanov, A. Shengelaya, A. Maisuradze, F. La Mattina, A. Bussmann-Holder, H. Keller, K.A. Muller, Phys. Rev. Lett. 98, 057007 (2007)

    ADS  Google Scholar 

  77. R. Khasanov, S. Strassle, D. Di Castro, T. Masui, S. Miyasaka, S. Tajima, A. Bussmann-Holder, H. Keller, Phys. Rev. Lett. 99, 237601 (2007)

    ADS  Google Scholar 

  78. W. Anukool, S. Barakat, C. Panagopoulos, J.R. Cooper, Phys. Rev. B 80, 024516 (2009)

    ADS  Google Scholar 

  79. T.R. Lemberger, I. Hetel, A. Tsukada, M. Naito, Phys. Rev. B 82, 214513 (2010)

    ADS  Google Scholar 

  80. B.M. Wojek, S. Weyeneth, S. Bosma, E. Pomjakushina, R. Puzniak, Phys. Rev. B 84, 144521 (2011)

    ADS  Google Scholar 

  81. M.S. Hybertsen, M. Schluter, N.E. Christensen, Phys. Rev. B 39, 9028 (1989)

    ADS  Google Scholar 

  82. M. Ogata, H. Fukuyama, Rep. Prog. Phys. 71, 036501 (2008)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russia

    Dmitry M. Dzebisashvili & Konstantin K. Komarov

  2. Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russia

    Dmitry M. Dzebisashvili

Authors
  1. Dmitry M. Dzebisashvili
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Konstantin K. Komarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dmitry M. Dzebisashvili.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dzebisashvili, D.M., Komarov, K.K. London penetration depth in the ensemble of spin polarons of cuprate superconductors. Eur. Phys. J. B 91, 278 (2018). https://doi.org/10.1140/epjb/e2018-90266-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2018-90266-6

Keywords

Search

Navigation