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Phase diagram of the Potts Model with competing interactions

Ganikhodjaev, Nasir (2009) Phase diagram of the Potts Model with competing interactions. AIP Conference Proceedings , 1150. pp. 407-410. ISSN 0094-243X (P), 1551-7616 (O)

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Abstract

We study the phase diagram for the Potts Model on a Cayley tree with competing nearest‐neighbor interaction J1 and next‐nearest‐neighbor interactions J2 and J3. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established. The phase diagram contains a modulated phase, as found for similar models on periodic lattices, and also new phase, namely, antiferromagnetic phase

Item Type: Article (Journal)
Additional Information: 4430/14093
Uncontrolled Keywords: Potts model, Cayley tree, Phase diagram, Modulated phase, Dynamical system.
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 27 Jan 2012 12:05
Last Modified: 27 Jan 2012 12:05
URI: http://irep.iium.edu.my/id/eprint/14093

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