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High-Precision Monte Carlo Determination Of Α/Ν In The 3d Classical Heisenberg Model

Author

Listed:
  • CHRISTIAN HOLM

    (Institut für Theoretische Physik, FU Berlin, Arnimallee 14, 14195 Berlin, Germany)

  • WOLFHARD JANKE

    (Institut für Physik, Johannes Gutenberg-Universität Mainz, 55099 Mainz, Germany)

Abstract

To study the role of topological defects in the three-dimensional classical Heisenberg model we have simulated this model on simple cubic lattices of size up to803, using the single-cluster Monte Carlo update. Analysing the specific-heat data of these simulations, we obtain a very accurate estimate for the ratio of the specific-heat exponent with the correlation-length exponent, α/ν, from a usual finite-size scaling analysis at the critical couplingKc. Moreover, by fitting the energy atKc, we reduce the error estimates by another factor of two, and get a value of α/ν, which is comparable in accuracy to best field theoretic estimates.

Suggested Citation

  • Christian Holm & Wolfhard Janke, 1994. "High-Precision Monte Carlo Determination Of Α/Ν In The 3d Classical Heisenberg Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 267-270.
  • Handle: RePEc:wsi:ijmpcx:v:05:y:1994:i:02:n:s0129183194000295
    DOI: 10.1142/S0129183194000295
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