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

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 $\ddot{I}{}_{xx}$ are investigated near the van Hove singularity $x_{\text{VHS}}\approx 0.2$ 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 $x_{\text{VHS}}<x\lesssim 0.3$; (2) $\ddot{I}{}_{xx}$ 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.

6 pages, 4 figures