Potts spin glass: a renormalization group approach

G. Camelo-Neto, Washington de Lima, S. Coutinho and W.A.M. Morgado

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 83-89

Abstract: The phase transition of the q-state Potts spin-glass model is studied with the real-space renormalization group approach on general diamond hierarchical lattices. The model, with q=2 up to six Potts states, is investigated for the particular cases of lattices with scaling factor b=2 and dimensions d=2 up to 6. For all cases studied, the Gaussian, the uniform, the exponential, and the delta-bimodal probability distributions are considered as the initial probability distribution of coupling constants. For q⩾2 the critical temperatures, for the phase transition from the high-temperature paramagnetic to a condensed phase, are estimated for lattices with fractal dimensions ⩾dl(q).

Keywords: Potts glass; Phase diagram; Lower critical dimension (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:83-89

DOI: 10.1016/j.physa.2004.04.063

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