Hall Effect of a Compensated Magnetic Metal Proportional toMB2in the High-Field Limit

The Smit asymmetric scattering on magnetic impurities is introduced into the spherical two-band model of a compensated metal. Hall resistivity ${\rho }_H$, ohmic resistivity $\rho$, and Hall angle ${\phi }_H$ are calculated. In the high-field limit ${\omega }_c\tau \gg 1$, we find ${\rho }_H\propto \frac{M{B}^2}{c}$, $\rho \propto \frac{B^2}{c}$, $tan{\phi }_H\propto M$, where $M$ is the magnetization and $c$ the impurity concentration. The more usual ${\rho }_H=R_{0}B+R_{s}M$ is found to hold only for low fields or uncompensated metals.