Extraordinary Hall effect in $\mathrm{Y}{\mathrm{Ba}}_2{\mathrm{Cu}}_3{\mathrm{O}}_{7-\delta }$ superconductors

The paramagneticlike $T^{-1\mathrm{}}$ temperature dependence of the Hall coefficient $R_H$ and the linear-$T$ resistivity $\rho$ are shown to be obeyed in the oxygen-deficient metallic phases of the $\mathrm{Y}{\mathrm{Ba}}_2{\mathrm{Cu}}_3{\mathrm{O}}_{7-\delta }$ superconductor at elevated temperatures, a region of oxygen stoichiometry $0.03\lesssim \delta \mathrm{}\left(T\right)\mathrm{}\lesssim 0.6$, as revealed by a universal $R_{H}T$ vs $\frac{\rho }{T}$ dependence. The similarly temperature-scaled Hall angle increases upon oxygen desorption and has a maximum near $\delta \approx 0.2$. These results suggest that asymmetric magnetic scattering may contribute significantly to the Hall effect in Y${\mathrm{Ba}}_2$${\mathrm{Cu}}_3$${\mathrm{O}}_7$.