Noncommutative Geometry and Quantum Hall Effect

Jean Bellissard
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Jean Bellissard: Universite Paul Sabatier, URA 505 CNRS and Laboratoire de Physique Quantique

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1238-1246 from Springer

Abstract: Abstract A mathematical framework based on noncommutative geometry is proposed to describe the Integer Quantum Hall Effect (IQHE). It takes localization effects into account. It permits us to prove rigorously that the Hall conductivity is quantized and that plateaus occur when the Fermi energy varies in a region of localized states.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_118

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