Abstract
The influence of a weak magnetic field on the Anderson transition is investigated by extending Götze'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 energyε F approaches the mobility edgeε c from above, the Hall coefficient goes to zero discontinuously whenε F=ε c at zero temperature. At finite temperatures, however, no such discontinuity appears.
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Ono, Y. Anderson transition in a magnetic field — Weak field conductivity and hall effect —. Z Physik B 35, 133–140 (1979). https://doi.org/10.1007/BF01321239
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DOI: https://doi.org/10.1007/BF01321239