On the phase diagram of the random bond $q$-state Potts model

Abstract

We consider the two-dimensional random bond $q$-state Potts model within the recently introduced exact framework of scale invariant scattering, exhibit the line of stable fixed points induced by disorder for arbitrarily large values of $q$, and examine the renormalization group pattern for $q>4$, when the transition of the pure model is first order.

arXiv comment9 pages, 2 figures; part of the EPJB topical issue "Recent advances in the theory of disordered systems"

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Cited by in corpus (8)

• Absence of nematic quasi-long-range order in two-dimensional liquid crystals with three director components
• Particles, conformal invariance and criticality in pure and disordered systems
• Critical points in the $R{P}^{N-1}$ model
• Critical points in coupled Potts models and correlated percolation
• Critical points in the $C{P}^{N-1}$ model
• On the $R{P}^{N-1}$ and $C{P}^{N-1}$ universality classes
• Nonuniversality in random criticality
• Exact results for spin glass criticality