Superconductivity in an Exactly Solvable Model of the Pseudogap State: Absence of Self Averaging

E. Z. Kuchinskii; M. V. Sadovskii

doi:10.1134/1.1469163

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Superconductivity in an Exactly Solvable Model of the Pseudogap State: Absence of Self Averaging

E. Z. Kuchinskii·M. V. Sadovskii

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Abstract

We analyze the anomalies of superconducting state within a simple exactly solvable model of the pseudogap state, induced by fluctuations of ``dielectric'' short range order, for the model of the Fermi surface with ``hot'' patches. The analysis is performed for the arbitrary values of the correlation length xi_{corr} of this short range order. It is shown that superconducting energy gap averaged over these fluctuations is non zero in a wide temperature range above T_c - the temperature of homogeneous superconducting transition. This follows from the absence of self averaging of the gap over the random field of fluctuations. For temperatures T>T_c superconductivity apparently appears in separate regions of space (``drops''). These effects become weaker for shorter correlation lengths xi_{corr} and the region of ``drops'' on the phase diagram becomes narrower and disappears for xi_{corr}-->0, however, for the finite values of xi_{corr} the complete self averaging is absent.

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E. Z. Kuchinskii, M. V. Sadovskii. 2001-10-05. Superconductivity in an Exactly Solvable Model of the Pseudogap State: Absence of Self Averaging. https://doi.org/10.1134/1.1469163

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