Joseph E. Avron, Lorenzo Sadun
Published 2000-08-31Version 1
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.
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
Generic Jumps of Fredholm Indices and the Quantum Hall Effect
A result on the phase diagram of a Ginzburg-Landau problem
Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators
