Ginzburg-Landau Expansion in a Toy Model of Superconductor with Pseudogap
A.I.Posazhennikova, M.V.Sadovskii

TL;DR
This paper introduces a simplified model of a 2D superconductor with pseudogap effects, deriving Ginzburg-Landau theory to study how pseudogap influences superconducting properties.
Contribution
It presents a novel toy model capturing pseudogap effects and derives Ginzburg-Landau expansion for s-wave and d-wave pairing within this framework.
Findings
Pseudogap significantly renormalizes spectral density.
Pseudogap impacts the critical temperature and coherence length.
Superconducting properties are altered by pseudogap formation.
Abstract
We propose a toy model of electronic spectrum of two-dimensional system with ``hot-patches'' on the Fermi surface, which leads to essential renormalization of spectral density (pseudogap). Within this model we derive Ginzburg-Landau expansion for both s-wave and d-wave Cooper pairing and analyze the influence of pseudogap formation on the basic properties of superconductors.
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