Type: Article
Publication Date: 2021-07-06
Citations: 2
DOI: https://doi.org/10.1103/physrevb.104.024501
Recently, several experiments on ${\mathrm{La}}_{2\ensuremath{-}x}{\mathrm{Sr}}_{x}\mathrm{Cu}{\mathrm{O}}_{4}$ (LSCO) challenged the Fermi liquid picture for overdoped cuprates and stimulated intensive debates. In this work, we study the magnetotransport phenomena in such systems based on the Fermi liquid assumption. The Hall coefficient ${R}_{H}$ and magnetoresistivity ${\ensuremath{\rho}}_{xx}$ are investigated near the Van Hove singularity (VHS) ${x}_{\mathrm{VHS}}\ensuremath{\approx}0.2$ across which the Fermi surface topology changes from hole- to electronlike. The main results are (1) ${R}_{H}$ drops from positive to negative values with increasing $B$ in the doping regime ${x}_{\mathrm{VHS}}<x\ensuremath{\lesssim}0.3$ and (2) ${\ensuremath{\rho}}_{xx}$ grows as ${B}^{2}$ at small $B$ and saturates at large $B$, while a ``nearly linear'' dependence shows up in the transition regime, which is significantly enlarged near the VHS. These results can be tested by future magnetotransport experiments in overdoped LSCO to check whether the Fermi liquid picture applies or not.