Physics – Mathematical Physics
Scientific paper
2000-08-31
Physics
Mathematical Physics
25 pages, including 7 embedded figures. The mathematical content of this paper is similar to our previous paper math-ph/000300
Scientific paper
10.1063/1.1331317
The quantized Hall conductance in a plateau is related to the index of a
Fredholm operator. In this paper we describe the generic ``phase diagram'' of
Fredholm indices associated with bounded and Toeplitz operators. We discuss the
possible relevance of our results to the phase diagram of disordered integer
quantum Hall systems.
Avron Joseph E.
Sadun Lorenzo
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