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Magnetic Bloch theory and noncommutative geometry

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Abstract

An interpretation of the magnetic Bloch theory in terms of noncommutative geometry is given. As an application we obtain a mathematical interpretation of the quantum Hall effect.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    A. G. Sergeev

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  1. A. G. Sergeev
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Correspondence to A. G. Sergeev.

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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Vol. 279, pp. 193–205.

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Sergeev, A.G. Magnetic Bloch theory and noncommutative geometry. Proc. Steklov Inst. Math. 279, 181–193 (2012). https://doi.org/10.1134/S0081543812080123

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