CLUSTER MONTE CARLO STUDY OF THE QUANTUM XY MODEL IN TWO DIMENSIONS

N. Kawashima, Mark Jarrell and J.E. Gubernatis
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N. Kawashima: Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;
Mark Jarrell: Department of Physics, University of Cincinnati, Cincinnati, OH 45221-0011, USA
J.E. Gubernatis: Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 03, 433-440

Abstract: The recent generalization of the Fortuin-Kasteleyn percolation representation and the Swendsen-Wang (SW) cluster algorithm is reviewed. The new representation yields cluster algorithm for theXYZmodel with arbitrary magnitude of spins, with arbitrary anisotropies, and in any dimensions. The new algorithm often reduces computational autocorrelation times by several orders of magnitude. By using the new algorithm together with methods of Bayesian statistical inference, we obtained the dynamical structure factorS (k, ω)for theS =1/2 XYmodel in two dimensions.

Date: 1996
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DOI: 10.1142/S0129183196000387

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