Physics – Mathematical Physics
Scientific paper
2002-03-11
Physics
Mathematical Physics
LaTeX with 1 .pstex/.pstex_t figure
Scientific paper
10.1007/s00220-002-0698-z
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.
Elbau Peter
Graf Gian Michele
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