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Superconductivity in the exactly solvable model of pseudogap state: The absence of self-averaging

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Abstract

The features of the superconducting state are studied in the simple exactly solvable model of the pseudogap state induced by fluctuations of the short-range “dielectric” order in the model of the Fermi surface with “hot” spots. The analysis is carried out for arbitrary short-range correlation lengths ξcorr. It is shown that the superconducting gap averaged over such fluctuations differs from zero in a wide temperature range above the temperature T c of the uniform superconducting transition in the entire sample, which is a consequence of non-self-averaging of the superconducting order parameter over the random fluctuation field. In the temperature range T>T c, superconductivity apparently exists in individual regions (drops). These effects become weaker with decreasing correlation length ξcorr; in particular, the range of existence for drops becomes narrower and vanishes as ξcorr → 0, but for finite values of ξcorr, complete self-averaging does not take place.

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Division, Russian Academy of Sciences, ul. Komsomol’skaya 34, Yekaterinburg, 620016, Russia

    É. Z. Kuchinskii & M. V. Sadovskii

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  1. É. 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. 121, No. 3, 2002, pp. 758–769.

Original Russian Text Copyright © 2002 by Kuchinski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Sadovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \).

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Kuchinskii, É.Z., Sadovskii, M.V. Superconductivity in the exactly solvable model of pseudogap state: The absence of self-averaging. J. Exp. Theor. Phys. 94, 654–663 (2002). https://doi.org/10.1134/1.1469163

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