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Phase Diagram Of The Potts Model With Competing Interactions

Nasir GanikhodjaevbInstitute of Mathematics and Information Technology, 100125, Tashkent, UzbekistanSwee-Ping ChiaKurunathan RatnaveluMuhamad Rasat Muhamad
AIP conference proceedingsjournal2009en
ABI

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.

Topics

Theoretical and Computational PhysicsOpinion Dynamics and Social InfluenceQuantum chaos and dynamical systems

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DOI
10.1063/1.3192281

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Cited by 01 references
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