TY - JOUR

T1 - Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice

AU - Ganikhodjaev, Nasir

AU - Mukhamedov, Farrukh

AU - Pah, Chin Hee

N1 - Funding Information:
This work was partially supported by SAGA Fund P77c by the Ministry of Science, Technology and Innovation (MOSTI) through the Academy of Sciences Malaysia (ASM). The authors thank the referee for his essential remarks.

PY - 2008/12/22

Y1 - 2008/12/22

N2 - We have found an exact phase diagram of the Potts model with competing nearest neighbor and next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the multicritical point (T = 0, p = 1 / 3). We report on a new phase which we denote as paramodulated, found at low temperatures and characterized by zero average magnetization lying inside the modulated phase. Such a phase, inherent in the Potts model has no analogues in the Ising setting.

AB - We have found an exact phase diagram of the Potts model with competing nearest neighbor and next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the multicritical point (T = 0, p = 1 / 3). We report on a new phase which we denote as paramodulated, found at low temperatures and characterized by zero average magnetization lying inside the modulated phase. Such a phase, inherent in the Potts model has no analogues in the Ising setting.

KW - Bethe lattice

KW - Dynamical system

KW - Modulated phase

KW - Next nearest neighbour

KW - Phase diagram

KW - Potts model

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U2 - 10.1016/j.physleta.2008.10.060

DO - 10.1016/j.physleta.2008.10.060

M3 - Article

AN - SCOPUS:56449125857

VL - 373

SP - 33

EP - 38

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1

ER -