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Pseudogap-state superconductivity in a “hot-point” model: Gor’kov equations

  • Metals and Superconductors
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Abstract

The specific features of the superconducting state (with s and d pairing) are considered in terms of a pseudogap state caused by short-range order fluctuations of the “dielectric” type, namely, antiferromagnetic (spin density wave) or charge density wave fluctuations, in a model of the Fermi surface with “hot points.” A set of recurrent Gor’kov equations is derived with inclusion of all Feynman diagrams of a perturbation expansion in the interaction between an electron and short-range order fluctuations causing strong scattering near hot points. The influence of nonmagnetic impurities on superconductivity in such a pseudogap state is analyzed. The critical temperature for the superconducting transition is determined, and the effect of the effective pseudogap width, correlation length of short-range-order fluctuations, and impurity scattering frequency on the temperature dependence of the energy gap is investigated.

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References

  1. T. Timusk and B. Statt, Rep. Prog. Phys. 62(1), 61 (1999).

    Article  ADS  Google Scholar 

  2. M. V. Sadovskii, Usp. Fiz. Nauk 171(5), 539 (2001) [Phys. Usp. 44, 515 (2001)].

    Google Scholar 

  3. J. L. Tallon and J. W. Loram, Physica C (Amsterdam) 349(1–2), 53 (2000).

    ADS  Google Scholar 

  4. V. M. Krasnov, A. Yurgens, D. Winkler, P. Delsing, and T. Claeson, Phys. Rev. Lett. 84(25), 5860 (2000).

    Article  ADS  Google Scholar 

  5. N. P. Armitage, D. H. Lu, C. Kim, A. Damascelli, K. M. Shen, F. Ronning, D. L. Feng, B. Bogdanov, and Z.-X. Shen, Phys. Rev. Lett. 87, 147003 (2001).

    Google Scholar 

  6. J. Schmalian, D. Pines, and B. Stojkovic, Phys. Rev. Lett. 80(17), 3839 (1998); Phys. Rev. B 60 (1), 667 (1999).

    Article  ADS  Google Scholar 

  7. É. Z. Kuchinskii and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 115(5), 1765 (1999) [JETP 88, 968 (1999)].

    Google Scholar 

  8. A. I. Posazhennikova and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 115(2), 632 (1999) [JETP 88, 347 (1999)].

    Google Scholar 

  9. É. Z. Kuchinskii and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 117(3), 613 (2000) [JETP 90, 535 (2000)].

    Google Scholar 

  10. É. Z. Kuchinskii and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 119(3), 553 (2001) [JETP 92, 480 (2001)].

    Google Scholar 

  11. É. Z. Kuchinskii and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 121(3), 758 (2002) [JETP 94, 654 (2002)].

    Google Scholar 

  12. É. Z. Kuchinskii, M. V. Sadovskii, and N. A. Strigina, Zh. Éksp. Teor. Fiz. (in press).

  13. P. Monthoux, A. V. Balatsky, and D. Pines, Phys. Rev. B 46(22), 14803 (1992).

    Google Scholar 

  14. P. Monthoux and D. Pines, Phys. Rev. B 47(10), 6069 (1993); Phys. Rev. B 49 (6), 4261 (1994).

    Article  ADS  Google Scholar 

  15. M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 66(6), 1720 (1974) [Sov. Phys. JETP 39, 845 (1974)]; Fiz. Tverd. Tela (Leningrad) 16 (10), 2504 (1974) [Sov. Phys. Solid State 16, 1632 (1974)].

    Google Scholar 

  16. M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 77(5), 2070 (1979) [Sov. Phys. JETP 50, 989 (1979)].

    Google Scholar 

  17. L. P. Gor’kov, Zh. Éksp. Teor. Fiz. 37(5), 1407 (1959) [Sov. Phys. JETP 10, 998 (1959)].

    MathSciNet  Google Scholar 

  18. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966; Mir, Moscow, 1968).

    Google Scholar 

  19. A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Fizmatgiz, Moscow, 1962; Prentice Hall, Englewood Cliffs, N.J., 1963).

    Google Scholar 

  20. A. Posazhennikova and P. Coleman, Phys. Rev. B 67(16), 165109 (2003).

    Google Scholar 

  21. A. A. Abrikosov and L. P. Gor’kov, Zh. Éksp. Teor. Fiz. 39(6), 1781 (1960) [Sov. Phys. JETP 12, 1243 (1960)].

    Google Scholar 

  22. A. I. Larkin, Pis’ma Zh. Éksp. Teor. Fiz. 2(3), 205 (1965) [JETP Lett. 2, 130 (1965)].

    Google Scholar 

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Translated from Fizika Tverdogo Tela, Vol. 46, No. 9, 2004, pp. 1557–1565.

Original Russian Text Copyright © 2004 by Kuleeva, Kuchinski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\).

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Kuleeva, N.A., Kuchinskii, É.Z. Pseudogap-state superconductivity in a “hot-point” model: Gor’kov equations. Phys. Solid State 46, 1604–1612 (2004). https://doi.org/10.1134/1.1799173

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  • DOI: https://doi.org/10.1134/1.1799173

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