Magnetoresistance of weakly disordered electrons

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 $h=\frac{g{\ensuremath{\mu}}_{B}H}{\mathrm{kT}}\ensuremath{\gg}1$, it goes as $\mathrm{ln}h$ in two and as $\sqrt{h}$ in three dimensions. The sign is opposite that due to incipient localization.

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