Phase diagram of the Potts Model with competing interactions

Abstract. We study the phase diagram for the Potts Model on a Cayley tree with competing nearest-neighbor interaction J_1 and next-nearest-neighbor interactions J_2 and J_3. To perform this study, an iterative scheme similar to that appearing in real space renormalizatiort group frameworks is establ...

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Main Author: Ganikhodjaev, Nasir
Format: Proceeding Paper
Language:English
Published: 2009
Subjects:
Online Access:http://irep.iium.edu.my/14094/
http://irep.iium.edu.my/14094/1/AIP_20090001.PDF
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author Ganikhodjaev, Nasir
author_facet Ganikhodjaev, Nasir
author_sort Ganikhodjaev, Nasir
building IIUM Repository
collection Online Access
description Abstract. We study the phase diagram for the Potts Model on a Cayley tree with competing nearest-neighbor interaction J_1 and next-nearest-neighbor interactions J_2 and J_3. To perform this study, an iterative scheme similar to that appearing in real space renormalizatiort group frameworks is established.The phase digram contains a modulated phase as found for similar models on periodic lattices, and also new phase ,namely, antiferromagnetic phase.
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format Proceeding Paper
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institution International Islamic University Malaysia
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language English
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publishDate 2009
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spelling iium-140942012-02-01T14:04:28Z http://irep.iium.edu.my/14094/ Phase diagram of the Potts Model with competing interactions Ganikhodjaev, Nasir QA Mathematics QC Physics Abstract. We study the phase diagram for the Potts Model on a Cayley tree with competing nearest-neighbor interaction J_1 and next-nearest-neighbor interactions J_2 and J_3. To perform this study, an iterative scheme similar to that appearing in real space renormalizatiort group frameworks is established.The phase digram contains a modulated phase as found for similar models on periodic lattices, and also new phase ,namely, antiferromagnetic phase. 2009-01-16 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/14094/1/AIP_20090001.PDF Ganikhodjaev, Nasir (2009) Phase diagram of the Potts Model with competing interactions. In: Frontiers In Physics: 3rd International Meeting, 12–16 January 2009, Awana Genting Highlands, Malaysia.
spellingShingle QA Mathematics
QC Physics
Ganikhodjaev, Nasir
Phase diagram of the Potts Model with competing interactions
title Phase diagram of the Potts Model with competing interactions
title_full Phase diagram of the Potts Model with competing interactions
title_fullStr Phase diagram of the Potts Model with competing interactions
title_full_unstemmed Phase diagram of the Potts Model with competing interactions
title_short Phase diagram of the Potts Model with competing interactions
title_sort phase diagram of the potts model with competing interactions
topic QA Mathematics
QC Physics
url http://irep.iium.edu.my/14094/
http://irep.iium.edu.my/14094/1/AIP_20090001.PDF