Magnetoresistance of weakly disordered electrons

Abstract

The magnetoresistance of a weakly disordered electron gas arising from spin splitting of conduction-electron energies is calculated and found to be positive. For large fields $h=\frac{g{\mu }_{B}H}{\mathrm{kT}}\gg 1$, it goes as $\ln h$ in two and as $\sqrt{h}$ in three dimensions. The sign is opposite that due to incipient localization.