Magnetotransport in overdoped La$_{2-x}$Sr$_x$CuO$_4$: a Fermi liquid approach

TL;DR

This paper models magnetotransport in overdoped La$_{2-x}$Sr$_x$CuO$_4$ using a Fermi liquid framework, explaining experimental observations of Hall coefficient and magnetoresistivity near the van Hove singularity.

Contribution

It provides a Fermi liquid-based explanation for magnetotransport phenomena in overdoped LSCO, addressing recent experimental challenges to the Fermi liquid picture.

Findings

Hall coefficient $R_H$ changes sign with magnetic field near the van Hove singularity.

Magnetoresistivity $ ho_{xx}$ exhibits $B^2$ growth at low fields and saturation at high fields.

Transition regime shows nearly linear behavior in magnetoresistivity.

Abstract

Recently, several experiments on La$_{2-x}$Sr$_x$CuO$_4$ (LSCO) challenged the Fermi liquid picture for overdoped cuprates, and stimulated intensive debates [1]. In this work, we study the magnetotransport phenomena in such systems based on the Fermi liquid assumption. The Hall coefficient $R_H$ and magnetoresistivity $\rho_{xx}$ are investigated near the van Hove singularity $x_{\tiny\text{VHS}}\approx0.2$ across which the Fermi surface topology changes from hole- to electron-like. Our main findings are: (1) $R_H$ depends on the magnetic field $B$ and drops from positive to negative values with increasing $B$ in the doping regime $x_{\tiny\text{VHS}}<x\lesssim0.3$; (2) $\rho_{xx}$ grows up as $B^2$ at small $B$ and saturates at large $B$, while in the transition regime a "nearly linear" behavior shows up. Our results can be further tested by future magnetotransport experiments in the overdoped LSCO.