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Effect of localization on the hall conductivity in the two-dimensional system in strong magnetic fields
Authors:H. Aoki  T. Ando
Affiliation:Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, England;Institute of Applied Physics, University of Tsukuba, Sakura, Ibaraki 305, Japan
Abstract:Some exact properties of the Hall conductivity in the two-dimensional electron system in strong magnetic fields are investigated in the presence of immobile carriers. It is shown that σxy should be exactly the integral multiple of — e2h when the Fermi energy lies in the localized regime.
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