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Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier

Ganikhodjaev, Nasir and Nawi, Mohamad Ashraf and Rodzhan, Mohd Hirzie (2012) Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier. In: Malaysia Science and Technology Congress (MSTC 2012), 19-21 November 2012, Sime Darby Convention Center, Bukit Kiara, Kuala Lumpur,Malaysia.

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Abstract

We study the phase of diagrams for the Potts model on a Cayley tree-like lattice, called Quadrangle Chandelier, with competing nearest-neighbour interactions J1,prolonged next nearest-neighbour interactions Jp and one-level quadrangle nearest-neighbour interactions Jo. The phase diagram is studied for several ranges of the competing parameters and its show the appareance of several features and modulated phrase arising from the frustation effects introduced by the one-level quadrangle nearest-neighbour interactions Jo. The result gives the different with the phase studied in Cayley tree order 2. To perform this study, an iterative scheme similar to that appearing in real space renomalization group frame works is established, it recovers as particular case, previous work by Ganikhodjaev et.al (2008) for k=2

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4430/27863
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 27 Dec 2012 13:15
Last Modified: 14 Feb 2013 07:26
URI: http://irep.iium.edu.my/id/eprint/27863

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