1211.5979 (J-Ch. Anglès d'Auriac et al.)

Locally self-similar phase diagram of the disordered Potts model on the
hierarchical lattice    [PDF]

J-Ch. Anglès d'Auriac, Ferenc Iglói

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 $d_{\rm eff} > 2$. 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 represent ed by a logarithmic spiral. We expect infinite number of reentrances in the thermodynamic limit, consequently one can not define standard thermodynamic phases in this region.

View original: http://arxiv.org/abs/1211.5979