Ginzburg-Landau Expansion in a Toy Model of Superconductor with Pseudogap

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 GinzburgLandau expansion for both s-wave and d-wave Cooper pairing and analyze the influence of pseudogap formation on the basic properties of superconductors. PACS numbers: 74.20.Fg, 74.20.De Typeset using REVTEX 1