Origin of the anomalous Hall Effect in overdoped n-type cuprates: current vertex corrections due to antiferromagnetic fluctuations

TL;DR

This study reveals that current vertex corrections caused by antiferromagnetic fluctuations are responsible for the anomalous Hall effect observed in overdoped n-type cuprates, supported by experimental measurements and theoretical calculations.

Contribution

It demonstrates that current vertex corrections due to magnetic fluctuations explain the anomalous Hall effect in overdoped n-type cuprates, combining experimental THz Hall measurements with first-principles calculations.

Findings

Inelastic scattering contributes electron-like Hall response.

CVC effects reproduce experimental Hall angle dependence.

Magnetic fluctuations induce vertex corrections explaining anomalies.

Abstract

The anomalous magneto-transport properties in electron doped (n-type) cuprates were investigated using Hall measurements at THz frequencies. The complex Hall angle was measured in overdoped Pr$_{\rm 2-x}$Ce$_{\rm x}$CuO$_{\rm 4}$ samples (x=0.17 and 0.18) as a continuous function of temperature above $T_c$ at excitation energies 5.24 and 10.5 meV. The results, extrapolated to low temperatures, show that inelastic scattering introduces electron-like contributions to the Hall response. First principle calculations of the Hall angle that include current vertex corrections (CVC) induced by electron interactions mediated by magnetic fluctuations in the Hall conductivity reproduce the temperature, frequency, and doping dependence of the experimental data. These results show that CVC effects are the source of the anomalous Hall transport properties in overdoped n$\text{-}$type cuprates.