The Anomalous Hall Effect in YBa$_2$Cu$_3$O$_7$

TL;DR

This paper investigates the anomalous Hall effect in YBa₂Cu₃O₇ using a Nearly Antiferromagnetic Fermi Liquid model, explaining the temperature dependence of Hall effect and magnetoresistance through anisotropic scattering and spin fluctuations.

Contribution

It introduces a theoretical framework linking anisotropic scattering and spin fluctuations to the universal Hall angle behavior in cuprates.

Findings

Anisotropic scattering explains the temperature dependence of Hall effect.

Universal Hall angle arises from limited momentum transfers in spin fluctuation scattering.

The model applies to systems with strong antiferromagnetic correlations.

Abstract

The temperature dependence of the normal state Hall effect and magnetoresistance in YBa$_2$Cu$_3$O$_7$ is investigated using the Nearly Antiferromagnetic Fermi Liquid description of planar quasiparticles. We find that highly anisotropic scattering at different regions of the Fermi surface gives rise to the measured anomalous temperature dependence of the resistivity and Hall coefficient while yielding the universal temperature dependence of the Hall angle observed for both clean and dirty samples. This universality is shown to arise from the limited momentum transfers available for the anomalous, spin fluctuation scattering and is preserved for any system with strong antiferromagnetic correlations.