Phys. Rev. B 76, 024405 (2007) [7 pages]

Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass

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L. W. Lee^*
Department of Physics, University of California, Santa Cruz, California 95064, USA and Department of Mechanical Engineering, University of Washington, Seattle, Washington 98195, USA

A. P. Young^‡
Department of Physics, University of California, Santa Cruz, California 95064, USA

Received 28 March 2007; published 5 July 2007

We study the Heisenberg spin glass by large-scale Monte Carlo simulations for sizes up to 32³, down to temperatures below the transition temperature claimed in earlier work. The data for the larger sizes show more marginal behavior than that for the smaller sizes, indicating the lower critical dimension is close to, and possibly equal to, 3. We find that the spins and chiralities behave in a quite similar manner.

URL:

http://link.aps.org/doi/10.1103/PhysRevB.76.024405

DOI:

10.1103/PhysRevB.76.024405

PACS:

75.50.Lk, 75.40.Mg, 05.50.+q

^*leelikwe@u.washington.edu

^†Present address.

^‡peter@bartok.ucsc.edu; URL: http://bartok.ucsc.edu/peter

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Phys. Rev. B 76, 024405 (2007) [7 pages]

Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass