Theory of the temperature and doping dependence of the Hall effect in a model with x-ray edge singularities in d=oo

TL;DR

This paper presents a theoretical model that explains the temperature and doping dependence of the Hall effect in high-Tc superconductors, accounting for anomalous experimental data through x-ray edge singularities and local spin fluctuations.

Contribution

It introduces a d=oo model with x-ray edge singularities that reproduces Hall effect anomalies and supports the marginal-Fermi-liquid behavior in non-Fermi liquids.

Findings

Reproduces temperature dependence of Hall constant and Hall angle.

Provides a consistent explanation for Hall anomalies in high-Tc superconductors.

Supports the marginal-Fermi-liquid interpretation of normal state properties.

Abstract

We explain the anomalous features in the Hall data observed experimentally in the normal state of the high-Tc superconductors. We show that a consistent treatment of the local spin fluctuations in a model with x-ray edge singularities in d=oo reproduces the temperature and the doping dependence of the Hall constant as well as the Hall angle in the normal state. The model has also been invoked to justify the marginal-Fermi-liquid behavior, and provides a consistent explanation of the Hall anomalies for a non-Fermi liquid in d=oo.