Fredholm Indices and the Phase Diagram of Quantum Hall Systems
Mathematical Physics
2009-10-31 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0008040,
title = {Fredholm Indices and the Phase Diagram of Quantum Hall Systems},
author = {Joseph E. Avron and Lorenzo Sadun},
journal= {arXiv preprint arXiv:math-ph/0008040},
year = {2009}
}
Comments
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