Diamagnetic susceptibility obtained from the six-vertex model and its implications for the high-temperature diamagnetic state of cuprate superconductors

TL;DR

This paper investigates the diamagnetic properties of the six-vertex model, particularly the F model, revealing strong diamagnetism and potential divergence of susceptibility at high temperatures, which may explain experimental observations in cuprate superconductors.

Contribution

It is the first study to analyze the diamagnetism of the six-vertex model, linking theoretical results to experimental phenomena in high-Tc cuprates.

Findings

F model exhibits strong diamagnetism.

Susceptibility may diverge at high temperatures.

Results may explain diverging diamagnetic susceptibility in cuprates.

Abstract

We study the diamagnetism of the 6-vertex model with the arrows as directed bond currents. To our knowledge, this is the first study of the diamagnetism of this model. A special version of this model, called F model, describes the thermal disordering transition of an orbital antiferromagnet, known as d-density wave (DDW), a proposed state for the pseudogap phase of the high-Tc cuprates. We find that the F model is strongly diamagnetic and the susceptibility may diverge in the high temperature critical phase with power law arrow correlations. These results may explain the surprising recent observation of a diverging low-field diamagnetic susceptibility seen in some optimally doped cuprates within the DDW model of the pseudogap phase.