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HIGH-PRECISION MONTE CARLO DETERMINATION OF α/ν IN THE 3D CLASSICAL HEISENBERG MODEL

Christian Holm and Wolfhard Janke
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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

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 02, 267-270

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.

Date: 1994
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DOI: 10.1142/S0129183194000295

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