4.6 Article

Critical behavior of the three- and ten-state short-range Potts glass: A Monte Carlo study

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PHYSICAL REVIEW B
卷 74, 期 10, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.74.104416

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We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p=3, a finite-size scaling analysis of the correlation length shows clear evidence of a transition to a spin-glass phase at T-c=0.273 for a Gaussian distribution of interactions and T-c=0.377 for a +/- J (bimodal) distribution. These results indicate that the lower critical dimension of the three-state Potts glass is below 3. By contrast, the correlation length of the ten-state (p=10) Potts glass in three dimensions remains small even at very low temperatures and thus shows no sign of a transition. In four dimensions we find that the p=3 Potts glass with Gaussian interactions has a spin-glass transition at T-c=0.536.

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