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Two-dimensional classical representations of the partition function of the spin-1/2 chain

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Zeitschrift für Physik B Condensed Matter

Abstract

Starting from the Trotter formula, we derive several classical representations of the partition function of a spin-1/2 chain. We investigate the rate of convergence of the different approximants by means of exact calculations for small systems. We demonstrate that it is important to use approximants that have the same symmetry properties as the original quantum model.

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Authors and Affiliations

  1. Department of Physics, University of Antwerp, Universiteisplein 1, B-2610, Wilrijk, Belgium

    Hans De Raedt

  2. Natuurkundig Laboratorium, University of Amsterdam, Valckenierstraat 65, NL-1018 XE, Amsterdam, The Netherlands

    Ad Lagendijk

  3. Department of Physics, University of Antwerp, Wilrijk, Belgium

    Jan Fivez

Authors
  1. Hans De Raedt
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  2. Ad Lagendijk
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  3. Jan Fivez
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De Raedt, H., Lagendijk, A. & Fivez, J. Two-dimensional classical representations of the partition function of the spin-1/2 chain. Z. Physik B - Condensed Matter 46, 261–267 (1982). https://doi.org/10.1007/BF01360303

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  • DOI: https://doi.org/10.1007/BF01360303

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