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

Ganikhodjaev, Nasir and Mukhamedov, Farrukh and Pah, Chin Hee (2008) Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Physics Letters A, 373 (1). pp. 33-38. ISSN 0375-9601

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	4430/298
Uncontrolled Keywords:	Potts model, Bethe lattice, phase diagram, next nearest neighbour, modulated phase, dynamical system
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	05 Sep 2011 10:09
Last Modified:	06 Sep 2011 09:00
URI:	http://irep.iium.edu.my/id/eprint/298

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