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Simultaneous quantization of edge and bulk Hall conductivity | H. Schulz-Baldes
; J. Kellendonk
; Th. Richter
; | Date: |
10 Dec 1999 | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | Abstract: | The edge Hall conductivity is shown to be an integer multiple of $e^2/h$ which is almost surely independent of the choice of the disordered configuration. Its equality to the bulk Hall conductivity given by the Kubo-Chern formula follows from K-theoretic arguments. This leads to quantization of the Hall conductance for any redistribution of the current in the sample. It is argued that in experiments at most a few percent of the total current can be carried by edge states. | Source: | arXiv, cond-mat/9912186 | Services: | Forum | Review | PDF | Favorites |
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