Temperature dependence of the Hall angle in a correlated three-dimensional metal

Abstract

The Hall coefficient, $R_H,$ of the Mott-Hubbard system vanadium sesquioxide has a strong temperature dependence in the barely delocalized metal. As in the case of the cuprate superconductors, we find that the resistivity and the Hall angle of ${\mathrm{V}}_{2-y}{\mathrm{O}}_3$ follow different power laws in temperature, implying different longitudinal and transverse scattering mechanisms. Far from half-filling, only one transport scattering rate is needed to describe the data, at which point the temperature dependence of $R_H$ disappears.