Fredholm Indices and the Phase Diagram of Quantum Hall Systems

Abstract

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.

25 pages, including 7 embedded figures. The mathematical content of this paper is similar to our previous paper math-ph/0003003, but the physical analysis is new

References in corpus (2)

• Charge Deficiency, Charge Transport and Comparison of Dimensions
• Quantum Hall effect at low magnetic fields

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