Infrared Hall angle in the $d$-density wave state: a comparison of theory and experiment

TL;DR

This paper compares theoretical predictions and experimental data on the infrared Hall angle in high-temperature cuprates, focusing on the $d$-density wave state and its doping dependence, highlighting quantum critical point signatures.

Contribution

It provides a detailed theoretical calculation of the Hall frequency in the $d$-density wave state and compares it with experimental results, suggesting signatures of a quantum critical point.

Findings

Theoretical Hall frequency matches experimental data in absolute units.

Doping dependence of Hall frequency indicates a quantum critical point.

Signature of quantum criticality can be observed in future experiments.

Abstract

Infrared Hall measurements in the pseudogap phase of the high-$T_c$ cuprates are addressed within the framework of the ordered $d$-density wave state. The zero-temperature Hall frequency $\omega_H$ is computed as a function of the hole-doping $x$. Our results are consistent with recent experiments in absolute units. We also discuss the signature of the quantum critical point in the Hall frequency at a critical doping inside the superconducting dome, which can be tested in future experiments.