Models of the Pseudogap State in Cuprates

TL;DR

This paper reviews solvable models describing the pseudogap state in cuprates, focusing on electronic spectra affected by short-range order fluctuations, and discusses their applications to spectral and transport properties.

Contribution

It introduces a class of nearly exactly solvable models for the pseudogap state, incorporating all relevant Feynman diagrams via a recurrence approach.

Findings

Models successfully describe anisotropic pseudogap formation.

Application to spectral density and conductivity calculations.

Framework applicable to normal and superconducting states.

Abstract

We review a certain class of ("nearly") exactly solvable models of electronic spectrum of two-dimensional systems with fluctuations of short range order of "dielectric" (e.g. antiferromagnetic) or "superconducting" type, leading to the formation of anisotropic pseudogap state on certain parts of the Fermi surface. The models are based on recurrence procedure for one- and two-electron Green's functions which takes into account of all Feynman diagrams in perturbation series with the use of the approximate Ansatz for higher-order terms in this series. These models can be applied to calculation of spectral density, density of states and conductivity in the normal state, as well as to calculation of some properties of superconducting state.