Arithmetic of the integer quantum hall effect

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Date
1998-01-01
Authors
Srivastava, Vipin
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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.
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Keywords
Critical disorder, Extended states, Floatation of states, Localized states, Mobility gap
Citation
Foundations of Physics Letters. v.11(6)