Abstract

The influence of a weak magnetic field on the Anderson transition is investigated by extending Gotze's recent zero field theory. Whereas the diagonal components of the conductivity tensor are not essentially effected and the Hall conductivity tends to zero linearly when the Fermi energyeF approaches the mobility edgeec from above, the Hall coefficient goes to zero discontinuously wheneF=ec at zero temperature. At finite temperatures, however, no such discontinuity appears.

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