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Superconductivity in a simple model of the pseudogap state

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  • Electron Properties
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Abstract

An analysis is made of characteristics of the superconducting state (s-and d-pairing) using a simple, exactly solvable model of the pseudogap state produced by fluctuations of the short-range order (such as antiferromagnetic) based on a Fermi surface model with “hot” sections. It is shown that the superconducting gap averaged over these fluctuations is nonzero at temperatures higher than the mean-field superconducting transition temperature T c over the entire sample. At temperatures T > T c superconductivity evidently exists in isolated sections (“ drops”). Studies are made of the spectral density and the density of states in which superconducting characteristics exist in the range T > T c however, in this sense the temperature T = T c itself is no different in any way. These anomalies show qualitative agreement with various experiments using underdoped high-temperature superconducting cuprates.

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References

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

    Article  ADS  Google Scholar 

  2. M. Randeria, E-print archive, cond-mat/9710223 (1997).

  3. M. Randeria and J. C. Campuzano, E-print archive, cond-mat/9709107 (1997).

  4. V. B. Geshkenbein, L. B. Ioffe, and A. I. Larkin, Phys. Rev. B 55, 3173 (1997).

    Article  ADS  Google Scholar 

  5. V. Emery, S. A. Kivelson, and O. Zachar, Phys. Rev. B 56, 6120 (1997).

    Article  ADS  Google Scholar 

  6. J. Maly, B. Janko, and K. Levin, E-print archive, cond-mat/9710187 (1997); cond-mat/9805018 (1997).

  7. V. P. Gusynin, V. M. Loktev, and S. G. Sharapov, Zh. Éksp. Teor. Fiz. 115, 1243 (1999) [JETP 88, 685 (1999)].

    Google Scholar 

  8. J. R. Kampf and A. P. Schrieffer, Phys. Rev. B 41, 6399 (1990); 42, 7967 (1990).

    Article  ADS  Google Scholar 

  9. M. Langer, J. Schmalian, S. Grabowski, and K. H. Bennemann, Phys. Rev. Lett. 75, 4508 (1995).

    Article  ADS  Google Scholar 

  10. J. J. Deisz, D. W. Hess, and J. W. Serene, Phys. Rev. Lett. 76, 1312 (1996).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. E. Z. Kuchinskii and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 115, 1765 (1999) [JETP 88, 968 (1999)]; E-print archive, cond-mat/9808321 (1998).

    Google Scholar 

  13. A. I. Posazhennikova and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 115, 632 (1999) [JETP 88, 347 (1999)]; E-print archive, cond-mat/9806199 (1998).

    Google Scholar 

  14. R. Gatt, S. Christensen, B. Frazer, et al., E-print archive, cond-mat/9906070 (1999).

  15. D. L. Feng, W. J. Zheng, K. M. Shen, et al., E-print archive, cond-mat/9908056 (1999).

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

    Google Scholar 

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

    Google Scholar 

  18. M. V. Sadovskii and A. A. Timofeev, Sverkhprovodimost’: Fiz., Khim., Tekh. 4, 11 (1991); J. Mosc. Phys. Soc. 1, 391 (1991).

    Google Scholar 

  19. M. V. Sadovskii, Pis’ma Zh. Éksp. Teor. Fiz. 69, 447 (1999) [JETP Lett. 69, 483 (1999)]; E-print archive, cond-mat/9902192 (1999).

    Google Scholar 

  20. Yu. V. Kopaev, Tr. Fiz. Inst. Akad. Nauk SSSR 86, 3 (1975).

    Google Scholar 

  21. Problems of High-Temperature Superconductivity, Ed. by V. L. Ginzburg and D. A. Kirzhnits (Nauka, Moscow, 1977), Chap. 5.

    Google Scholar 

  22. G. Bilbro and W. L. McMillan, Phys. Rev. B 14, 1887 (1976).

    Article  ADS  Google Scholar 

  23. L. N. Bulaevskii, S. V. Panyukov, and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 92, 672 (1987) [Sov. Phys. JETP 65, 380 (1987)].

    Google Scholar 

  24. M. V. Sadovskii, Sverkhprovodimost’: Fiz., Khim., Tekh. 8, 337 (1995); M. V. Sadovskii, Phys. Rep. 282, 225 (1997).

    Google Scholar 

  25. H. Ding, M. R. Norman, T. Yokoya, et al., Phys. Rev. Lett. 78, 2628 (1997).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Division, Russian Academy of Sciences, Yekaterinburg, 620049, Russia

    E. Z. Kuchinskii & M. V. Sadovskii

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  1. E. Z. Kuchinskii
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  2. M. V. Sadovskii
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 117, No. 3, 2000, pp. 613–623.

Original Russian Text Copyright © 2000 by Kuchinski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Sadovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \).

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Kuchinskii, E.Z., Sadovskii, M.V. Superconductivity in a simple model of the pseudogap state. J. Exp. Theor. Phys. 90, 535–543 (2000). https://doi.org/10.1134/1.559136

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