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High Magnetic Fields in Semiconductor Physics III pp 270–276Cite as

Analogy Between Fractional Quantum Hall Effect and Commensurate Flux Phase States on a Lattice

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 101))

Abstract

We study the analogy between fractional Quantum Hall Effect and commensurate flux phases on a lattice. We propose a variational approach for the study of these chiral flux phase states. We classify antiferromagnetic chiral flux phase states and evaluate analytically the corresponding expectation values of the t-J Hamiltonian at any value of filling. There are two types of chiral flux phase states: commensurate and fractional. We have found that state with the minimum energy is a commensurate flux phase state for which the value of the flux of the orbital magnetic field equals the filling and the total spin of this system equals zero.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, W-5000, Köln 41, Germany

    F. V. Kusmartsev

  2. L. D. Landau Institute for Theoretical Physics, Moscow, Kosygina 2, V-334, USSR

    F. V. Kusmartsev

Authors
  1. F. V. Kusmartsev
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Editor information

Editors and Affiliations

  1. Physikalisches Institut, Universität Würzburg, Am Hubland, W-8700, Würzburg, Fed. Rep. of Germany

    Gottfried Landwehr

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© 1992 Springer-Verlag Berlin Heidelberg

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Kusmartsev, F.V. (1992). Analogy Between Fractional Quantum Hall Effect and Commensurate Flux Phase States on a Lattice. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics III. Springer Series in Solid-State Sciences, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84408-9_39

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  • DOI: https://doi.org/10.1007/978-3-642-84408-9_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84410-2

  • Online ISBN: 978-3-642-84408-9

  • eBook Packages: Springer Book Archive

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