Quenched disorder formulation of the pseudo-gap problem

TL;DR

This paper presents a unified approach to understanding pseudo-gap formation in electronic systems by modeling it as a quenched disorder problem, linking various theories through free energy averaging.

Contribution

It introduces a quenched disorder framework for pseudo-gap phenomena, connecting different theoretical models via free energy averaging over disorder.

Findings

Unified treatment of pseudo-gap and superconductivity

Analysis of infinite and finite correlation lengths

Insight into disorder effects on electronic states

Abstract

The problem of pseudo-gap formation in an electronic system, induced by the fluctuations of the order parameter is revisited. We make the observation that a large class of current theories are theoretically equivalent to averaging the Free energy of the pseudo-gap system over a quenched-disordered distribution of the order parameter. We examine the cases of both infinite and finite correlation length, showing how the interplay of pseudo-gap formation and superconductivity can be treated in this approach.