Spin glass behavior in a random Coulomb antiferromagnet

Abstract

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of the Edwards Anderson model, though with large uncertainties. In three dimensions, evidence for a finite-temperature transition, as occurs in the Edwards-Anderson model, is rather weak. This may indicate that the sizes are too small to probe the asymptotic critical behavior, or possibly that the universality class is different from that of the Edwards-Anderson model and has a lower critical dimension equal to three.

arXiv comment7 pages, 9 figures

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Cited by in corpus (3)

• Numerical observation of a glassy phase in the three-dimensional Coulomb glass
• Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes
• The dipolar spin glass transition in three dimensions