English

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

Disordered Systems and Neural Networks 2009-11-13 v2 Statistical Mechanics

Abstract

We study the XY spin glass by large-scale Monte Carlo simulations for sizes up to 24^3, 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 to, and possibly equal to three. We find that the spins and chiralities behave in a very similar manner. We also address the optimal ratio of "over-relaxation" to "Metropolis" sweeps in the simulation.

Keywords

Cite

@article{arxiv.0804.3988,
  title  = {Large-scale Monte Carlo simulations of the three-dimensional XY spin glass},
  author = {J. H. Pixley and A. P. Young},
  journal= {arXiv preprint arXiv:0804.3988},
  year   = {2009}
}

Comments

6 pages, 6 postscript figures. Replaced by published version