Pseudogap in 1d revisited

TL;DR

This paper revisits Sadovskii's exact solution for a pseudogap model in 1D, clarifies its physical implications, corrects an error, and discusses its relevance to high-Tc superconductor research.

Contribution

It provides a detailed review of Sadovskii's model, identifies an error in the original solution, and connects the model to current studies of cuprate superconductors.

Findings

Identified an error in Sadovskii's original solution.

Clarified the physical interpretation of the pseudogap model.

Discussed the application of Sadovskii's ideas to cuprate superconductors.

Abstract

Two decades ago, Sadovskii found an exact solution of a model describing a pseudogap in electron energy spectrum (first introduced by Lee, Rice and Anderson). The discovery of a pseudogap in high-Tc superconductors has revived the interest to his exact solution. I review the model with the emphasis on physical content, point out an error in the original Sadovskii's solution and explain which problem he actually solved. A recent incorporation of Sadovskii's ideas into a description of "hot spots" on the Fermi surface in cuprate superconductors (Schmalian, Pines and Stojkovic) is briefly discussed.