Superconductivity in the "Hot Spots" Model of the Pseudogap State

TL;DR

This paper investigates how pseudogap fluctuations influence superconductivity in cuprates, focusing on the 'hot spots' model and analyzing the effects on critical temperature and phase diagram features.

Contribution

It introduces a comprehensive analysis of the 'hot spots' model considering all relevant electron-fluctuation interactions, advancing understanding of pseudogap effects on superconductivity.

Findings

Superconducting critical temperature T_c depends on pseudogap width, correlation length, and impurity concentration.

Strong scattering occurs around 'hot spots' affecting electron pairing.

Results suggest a connection between pseudogap fluctuations and the cuprate phase diagram.

Abstract

We analyze the anomalies of superconducting state in the model of pseudogap state induced by fluctuations of short - range order of "dielectric" (AFM(SDW) or CDW) type, and based on the scenario of "hot spots" formation on the Fermi surface, with the account of all Feynman graphs for electron interaction with pseudogap fluctuations, leading to strong scattering around the "hot spots". We determine the dependence of superconducting critical temperature T_c on the effective width of the pseudogap, correlation length of short - range order and concentration of nonmagnetic impurities. We also discuss possible connection of these results with the general form of the phase diagram of superconducting cuprates.