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

被引：3

作者：

d'Auriac, J-Ch Angles ^{[1
]}

Igloi, Ferenc ^{[2
,3
]}

机构：

[1] Univ Grenoble 1, CNRS, UPR 5001, Inst Neel,MCBT,Lab Conventionne, F-38042 Grenoble, France

[2] Inst Solid State Phys & Opt, Wigner Res Ctr, H-1525 Budapest, Hungary

[3] Univ Szeged, Inst Theoret Phys, H-6720 Szeged, Hungary

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 02期

关键词：

LOWER CRITICAL DIMENSION; RENORMALIZATION-GROUP; MONTE-CARLO; GLASS; SYSTEMS; THERMODYNAMICS;

D O I：

10.1103/PhysRevE.87.022103

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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. DOI: 10.1103/PhysRevE.87.022103

引用

页数：7

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