CRITICAL DYNAMICS IN THE 3D SPIN-1/2 HEISENBERG MODEL: A DECOUPLED CELL MONTE CARLO STUDY

Cynthia J. Sisson
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Cynthia J. Sisson: Department of Chemistry and Physics, Louisiana State University in Shreveport, Shreveport, Louisiana 71115, USA

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 03, 441-447

Abstract: The three-dimensional spin-1/2 Heisenberg model on a simple cubic lattice is studied for ferromagnetic and antiferromagnetic interactions using the Decoupled Cell Method for quantum Monte Carlo. Results for the relaxation timeτLare determined for both ferromagnetic and antiferromagnetic systems and found to be similar to those found for the classical(s → ∞)Heisenberg model. The scaling ofτLwith system size is used to extract the dynamical critical exponentzfor the two systems. The values ofz = 1.98 ± 0.12for the ferromagnet andz = 1.94 ± 0.09for the antiferromagnet are in good agreement with theoretical predictions and previous Monte Carlo studies of the classical Heisenberg model.

Date: 1996
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DOI: 10.1142/S0129183196000399

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