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Phys. Rev. B 78, 014419 (2008) [7 pages]

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

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J. H. Pixley and A. P. Young*
Department of Physics, University of California, Santa Cruz, California 95064, USA

Received 24 April 2008; revised 23 June 2008; published 16 July 2008

We study the XY spin glass by large-scale Monte Carlo simulations for sizes up to 243, down to temperatures below the transition temperature found in earlier work. The data for the larger sizes show more marginal behavior than that for the smaller sizes, indicating that the lower critical dimension is close, and possibly equal to three. We find that the spins and chiralities behave in a similar manner. We also address the optimal ratio of “over-relaxation” to “Metropolis” sweeps in the simulation.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.014419
DOI:
10.1103/PhysRevB.78.014419
PACS:
75.50.Lk, 75.40.Mg, 05.50.+q

*peter@physics.ucsc.edu; http://physics.ucsc.edu/~peter