Glass Model, Hubbard Model and High-Temperature Superconductivity

TL;DR

This paper connects the macroscopic glass model of high-temperature superconductors with microscopic stripe phenomena, using the Hubbard model to explain d-wave pairing within these stripes, offering new insights into superconductivity mechanisms.

Contribution

It links the glass model to stripe phases and employs the Hubbard model to elucidate microscopic pairing mechanisms in high-temperature superconductors.

Findings

Stripe domain sizes match earlier glass model predictions.

Hubbard model shows higher superconducting correlations in stripes.

Implications for finite size scaling and glass model interpretation.

Abstract

In this paper we revisit the glass model describing the macroscopic behavior of the High-Temperature superconductors. We link the glass model at the microscopic level to the striped phase phenomenon, recently discussed widely. The size of the striped phase domains is consistent with earlier predictions of the glass model when it was introduced for High-Temperature Superconductivity in 1987. In an additional step we use the Hubbard model to describe the microscopic mechanism for d-wave pairing within these finite size stripes. We discuss the implications for superconducting correlations of Hubbard model, which are much higher for stripes than for squares, for finite size scaling, and for the new view of the glass model picture.