Theory of the ac Hall response of a model with X-ray edge Singularities in infinite dimensions

TL;DR

This paper develops a theoretical model for ac Hall response in a non-Fermi liquid metal with X-ray edge singularities in infinite dimensions, matching experimental features in cuprate superconductors.

Contribution

It provides an exact formalism for ac conductivity in the infinite-dimensional limit and links the results to observed magnetotransport anomalies in cuprates.

Findings

Qualitative agreement with optical transmission experiments on YBa2Cu3O7

Reveals features consistent with two-relaxation time models

Offers a concrete realization of non-Fermi liquid magnetotransport behavior

Abstract

We study the ac magnetotransport in a non-Fermi liquid metal, which possesses explicit x-ray edge singularities in $d=\infty$. Specifically, we compute the ac conductivity tensor in a formalism that becomes exact in this limit. The ac Hall constant and Hall angle reveal features that are in striking qualitative agreement with those observed in optical transmission experiments carried out on $YBa_{2}Cu_{3}O_{7}$ thin films. Our results provide a concrete realization of the two-relaxation time picture proposed to explain magnetotransport anomalies in the normal state of cuprate superconductors.