The competing interactions on a Cayley tree-like lattice: pentagonal chandelier

Different types of lattice spin systems with competing interactions have rich and interesting phase diagrams. In this study we present some new results for such systems involving the Ising spin system (i.e. � = �1) using a generalization of the Cayley tree-like lattice approximation. We study the p...

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Main Authors:	Uguz, Selman, Ganikhodjaev, Nasir, Akin, Hasan, Temir, Seyit
Format:	Article
Language:	English
Published:	Polish Academy of Sciences Publishing House 2012
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/1/Acta_Physica_Polonica_A_UGAT.pdf

id	iium-16013
recordtype	eprints
spelling	iium-160132012-07-20T06:54:55Z http://irep.iium.edu.my/16013/ The competing interactions on a Cayley tree-like lattice: pentagonal chandelier Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit QA Mathematics Different types of lattice spin systems with competing interactions have rich and interesting phase diagrams. In this study we present some new results for such systems involving the Ising spin system (i.e. � = �1) using a generalization of the Cayley tree-like lattice approximation. We study the phase diagrams for the Ising model on a Cayley tree-like lattice, a new lattice type called pentagonal chandelier, with competing nearest- -neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one-level next-nearest-neighbor senary interactions J(6)l1 . The colored phase diagrams contain some multicritical Lifshitz points that are at nonzero temperature and many modulated new phases. We also investigate the variation of the wave vector with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of the system. Polish Academy of Sciences Publishing House 2012-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/16013/1/Acta_Physica_Polonica_A_UGAT.pdf Uguz, Selman and Ganikhodjaev, Nasir and Akin, Hasan and Temir, Seyit (2012) The competing interactions on a Cayley tree-like lattice: pentagonal chandelier. Acta Physica Polonica A, 121 (1). pp. 114-118. ISSN 0587-4246 http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z1p34.pdf
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 Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
description	Different types of lattice spin systems with competing interactions have rich and interesting phase diagrams. In this study we present some new results for such systems involving the Ising spin system (i.e. � = �1) using a generalization of the Cayley tree-like lattice approximation. We study the phase diagrams for the Ising model on a Cayley tree-like lattice, a new lattice type called pentagonal chandelier, with competing nearest- -neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one-level next-nearest-neighbor senary interactions J(6)l1 . The colored phase diagrams contain some multicritical Lifshitz points that are at nonzero temperature and many modulated new phases. We also investigate the variation of the wave vector with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of the system.
format	Article
author	Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit
author_facet	Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit
author_sort	Uguz, Selman
title	The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
title_short	The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
title_full	The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
title_fullStr	The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
title_full_unstemmed	The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
title_sort	competing interactions on a cayley tree-like lattice: pentagonal chandelier
publisher	Polish Academy of Sciences Publishing House
publishDate	2012
url	http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/1/Acta_Physica_Polonica_A_UGAT.pdf
first_indexed	2023-09-18T20:24:55Z
last_indexed	2023-09-18T20:24:55Z
_version_	1777408352186269696

The competing interactions on a Cayley tree-like lattice: pentagonal chandelier

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