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

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

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 f...

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Main Authors: Ganikhodjaev, Nasir, Nawi, Mohamad Ashraf, Rodzhan, Mohd Hirzie
Format: Conference or Workshop Item
Language:English
Published: 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/27863/
http://irep.iium.edu.my/27863/1/Prof_Nasir_MSTC.pdf
id iium-27863
recordtype eprints
spelling iium-278632013-02-13T23:26:20Z http://irep.iium.edu.my/27863/ Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier Ganikhodjaev, Nasir Nawi, Mohamad Ashraf Rodzhan, Mohd Hirzie QA Mathematics 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 2012-11 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/27863/1/Prof_Nasir_MSTC.pdf 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.
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Nawi, Mohamad Ashraf
Rodzhan, Mohd Hirzie
Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier
description 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
format Conference or Workshop Item
author Ganikhodjaev, Nasir
Nawi, Mohamad Ashraf
Rodzhan, Mohd Hirzie
author_facet Ganikhodjaev, Nasir
Nawi, Mohamad Ashraf
Rodzhan, Mohd Hirzie
author_sort Ganikhodjaev, Nasir
title Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier
title_short Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier
title_full Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier
title_fullStr Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier
title_full_unstemmed Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier
title_sort potts model with the competing interactions on a cayley tree-like lattice: quadrangle chandelier
publishDate 2012
url http://irep.iium.edu.my/27863/
http://irep.iium.edu.my/27863/1/Prof_Nasir_MSTC.pdf
first_indexed 2023-09-18T20:41:17Z
last_indexed 2023-09-18T20:41:17Z
_version_ 1777409382135365632

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