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Arithmetic of the Integer Quantum Hall Effect
Authors:Vipin Srivastava
Institution:(1) School of Physics, University of Hyderabad, Hyderabad, 500 046, India
Abstract:The integer quantum Hall effect (IQHE) is analysed, considering the degeneracies of localized and extended states separately. Occupied localized and extended states are counted, and their variation is studied as a function of magnetic field. The number of current-carrying electrons is found to have a saw-tooth variation with magnetic field. The analysis addresses certain basic questions in the IQHE, particularly the one about floatation of extended states as the magnetic field tends to zero.
Keywords:localized states  extended states  mobility gap  floatation of states  critical disorder
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