title: Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice.
abstract: We study the critical behavior of the random q-state Potts model in the large-q limit on the diamond hierarchical lattice with an effective dimensionality d(eff)>2. By varying the temperature and the strength of the frustration the system has a phase transition line between the paramagnetic and the ferromagnetic phases which is controlled by four different fixed points. According to our renormalization group study the phase boundary in the vicinity of the multicritical point is self-similar; it is well represented by a logarithmic spiral. We expect an infinite number of reentrances in the thermodynamic limit; consequently one cannot define standard thermodynamic phases in this region.
authors.affiliation: Institut Néel-MCBT CNRS U.P.R. 5001 du CNRS, Laboratoire conventionné avec l'Université Joseph Fourier, B. P. 166, F-38042 Grenoble, France.
authors.forename: J-Ch
authors.initials: JC
authors.lastname: Anglès d'Auriac
authors.forename: Ferenc
authors.initials: F
authors.lastname: Iglói
mesh_terms: D003198:Computer Simulation; D060526:Magnetic Fields; D015233:Models, Statistical; D044367:Phase Transition; D013816:Thermodynamics