Non-trivial fixed point structure of the two-dimensional +-J 3-state Potts ferromagnet/spin glass

Abstract

The fixed point structure of the 2D 3-state random-bond Potts model with a bimodal ($\pm$J) distribution of couplings is for the first time fully determined using numerical renormalization group techniques. Apart from the pure and T=0 critical fixed points, two other non-trivial fixed points are found. One is the critical fixed point for the random-bond, but unfrustrated, ferromagnet. The other is a bicritical fixed point analogous to the bicritical Nishimori fixed point found in the random-bond frustrated Ising model. Estimates of the associated critical exponents are given for the various fixed points of the random-bond Potts model.

4 pages, 2 eps figures, RevTex 3.0 format requires float and epsfig macros

References in corpus (2)

• Critical Behavior of Random Bond Potts Models
• Weak Randomness for large q-State Potts models in Two Dimensions

Cited by in corpus (9)

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• Particles, conformal invariance and criticality in pure and disordered systems
• Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large-q limit
• On the phase diagram of the random bond $q$-state Potts model
• Nishimori point in random-bond Ising and Potts models in 2D
• Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice