Fredholm indices and the phase diagram of quantum Hall systems

Fredholm indices and the phase diagram of quantum Hall systems

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 in...

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Veröffentlicht in:Journal of mathematical physics 2001-01, Vol.42 (1), p.1-14
Hauptverfasser: Avron, J. E., Sadun, L.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1331317