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Superconductivity in the Pseudogap State due to Fluctuations of Short-Range Order

E. Z. Kuchinskii·M. V. Sadovskii
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Abstract

We analyze the anomalies of superconducting state (s and d-wave pairing) in a simple model of pseudogap state, induced by fluctuations of short - range order (e.g. antiferromagnetic), based on the model Fermi surface with "hot patches". We derive a system of recursion relations for Gorkov's equations which take into account all diagrams of perturbation theory for electron interaction with fluctuations of short-range order. Then we find superconducting transition temperature and gap behavior for different values of the pseudogap width and correlation lengths of short-range order fluctuations. In a similar approximation we derive the Ginzburg-Landau expansion and study the main physical characteristics of a superconductor close to the transition temperature, both as functions of the pseudogap width and correlation length of fluctuations. Results obtained are in qualitative agreement with a number of experiments on underdoped HTSC-cuprates.

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E. Z. Kuchinskii, M. V. Sadovskii. 2000-10-12. Superconductivity in the Pseudogap State due to Fluctuations of Short-Range Order. https://doi.org/10.1134/1.1364745

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