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Geometrical and Algebraic Structures in Quantum Hall Systems

2005/03/15 by J. C. Wallet, Jean-Christophe Wallet, Wallet, J. C.
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.mes-hall #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.cond-mat/0503357

11 pages, 1 figure, Talk given at the "Conference on Higher Dimensional Quantum Hall Effect, Chern-Simons Theory and Non-Commutative Geometry in Condensed Matter Physics and Field Theory", Trieste, 1-4 march 2005

arxiv created 2005/03/15 · openalex publication_date 2005/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review the main features of a mathematical framework encompassing some of the salient quantum mechanical and geometrical aspects of Hall systems with finite size and general boundary conditions. Geometrical as well as algebraic structures controlling possibly the integral or fractional quantization of the Hall conductivity are discussed.

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