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Equality of bulk and edge Hall conductance revisited | P. Elbau
; G.M. Graf
; | Date: |
11 Mar 2002 | Subject: | Mathematical Physics MSC-class: 81Q10, 81V70 | math-ph math.MP | Abstract: | The integral quantum Hall effect can be explained either as resulting from bulk or edge currents (or, as it occurs in real samples, as a combination of both). This leads to different definitions of Hall conductance, which agree under appropriate hypotheses, as shown by Schulz-Baldes et al. by means of K-theory. We propose an alternative proof based on a generalization of the index of a pair of projections to more general operators. The equality of conductances is an expression of the stability of that index as a flux tube is moved from within the bulk across the boundary of a sample. | Source: | arXiv, math-ph/0203019 | Services: | Forum | Review | PDF | Favorites |
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