Arithmetic of the Integer Quantum Hall Effect |
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Authors: | Vipin Srivastava |
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Institution: | (1) School of Physics, University of Hyderabad, Hyderabad, 500 046, India |
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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: | localized states extended states mobility gap floatation of states critical disorder |
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