Potts spin glass: a renormalization group approach

✍ Scribed by G. Camelo-Neto; Washington de Lima; S. Coutinho; W.A.M. Morgado

• Book ID: 104077596
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 189 KB
• Volume: 342
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2004.04.063

✦ Synopsis

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 ¿ d l (q).