Superconductivity in a Toy Model of the Pseudogap State
E. Z. Kuchinskii, M. V. Sadovskii
Abstract
We analyze superconducting state (both s and d - wave) in a simple exactly solvable model of pseudogap state, induced by short - range order fluctuations (e.g. antiferromagnetic), which is based upon model Fermi - surface with "hot patches". It is shown that superconducting energy gap averaged over these fluctuations is non zero even for the temperatures larger than mean - field Tc of superconducting transition in a sample as a whole. For temperatures T>Tc superconductivity apparently exists within separate regions ("drops"). We study the spectral density and the density of states and demonstrate that superconductivity signals itself in these already for T>Tc, while at Tc itself nothing special happens from this point of view. These anomalies are in qualitative agreement with a number experiments on underdoped cuprates.
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