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Phase Transitions and Reflection Positivity. II. Lattice Systems with Short-Range and Coulomb Interactions

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Statistical Mechanics

Abstract

We discuss applications of the abstract scheme of part I of this work, in particular of infrared bounds and chessboard estimates, to proving the existence of phase transitions in lattice systems. Included are antiferromagnets in an external field, hard-core exclusion models, classical and quantum Coulomb lattice gases, and six-vertex models.

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Author information

Authors and Affiliations

  1. IHES, Bures-sur-Yvette, France

    Jürg Fröhlich

  2. Department of Mathematics, University of British Columbia, Vancouver, Canada

    Robert B. Israel

  3. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey, USA

    Elliott H. Lieb & Barry Simon

Authors
  1. Jürg Fröhlich
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  2. Robert B. Israel
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  3. Elliott H. Lieb
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  4. Barry Simon
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California, One Shields Ave., 95616-8633, Davis, CA, USA

    Bruno Nachtergaele

  2. Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen, Denmark

    Jan Philip Solovej

  3. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Jakob Yngvason

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© 1980 Springer-Verlag Berlin Heidelberg

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Fröhlich, J., Israel, R.B., Lieb, E.H., Simon, B. (1980). Phase Transitions and Reflection Positivity. II. Lattice Systems with Short-Range and Coulomb Interactions. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Statistical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10018-9_14

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  • DOI: https://doi.org/10.1007/978-3-662-10018-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06092-2

  • Online ISBN: 978-3-662-10018-9

  • eBook Packages: Springer Book Archive

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