Geometric invariants of the quantum Hall effect
type: Item
instance of: scholarly article
title: Geometric invariants of the quantum Hall effect
zbMATH Open document ID: 0682.46044
DOI: 10.1007/BF01218259
author: Jingbo Xia
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: The quantum Hall effect is studied considering one-particle in a two- dimensional sample of infinite size with a random potential. By using the Thom isomorphisms for \(C^*\) crossed products and the Connes cyclic cohomology theory, the Hall conductivity is identified with a topological index which is obviously an integer. The main result of the paper is contained in the theorem formulated in the introduction.
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 4117245
zbMATH Keywords: quantum Hall effect
zbMATH Keywords: one-particle in a two-dimensional sample of infinite size with a random potential
zbMATH Keywords: Thom isomorphisms
zbMATH Keywords: \(C^*\) crossed products
zbMATH Keywords: Connes cyclic cohomology theory
zbMATH Keywords: topological index
reviewed by: Oliviu Gherman
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01218259
OpenAlex ID: W2164631646
description: scientific article; zbMATH DE number 4117245