Lattice models on cayley tree with competing interactions

The Ising models with few competitive interactions play a significant role in studying the behavior of spin glasses. In this paper we review some generally known results about models on Cayley tree and present new ones. It is known that a phase diagram of models with competitive interbranch neighbor...

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Main Authors:	Ganikhodjaev, Nasir, Mohd. Rodzhan, Mohd. Hirzie
Format:	Article
Language:	English
Published:	Institut Fizik Malaysia 2018
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/1/66203_Lattice%20Models%20on%20Cayley%20Tree.pdf

id	iium-66203
recordtype	eprints
spelling	iium-662032018-10-02T02:17:55Z http://irep.iium.edu.my/66203/ Lattice models on cayley tree with competing interactions Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie QA Mathematics The Ising models with few competitive interactions play a significant role in studying the behavior of spin glasses. In this paper we review some generally known results about models on Cayley tree and present new ones. It is known that a phase diagram of models with competitive interbranch neighbors on Cayley tree of second order can contain ferromagnetic, paramagnetic, antiferromagnetic phases and paramodulated phase with period 2 only. We investigate the Uncle-Nephew Ising model on Cayley tree of third order with competitive interbranch neighbors and show that it has very rich phase diagram with many modulated phases, consisting of periodic (commensurate) and aperiodic (incommensurate) domains. Institut Fizik Malaysia 2018-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/66203/1/66203_Lattice%20Models%20on%20Cayley%20Tree.pdf Ganikhodjaev, Nasir and Mohd. Rodzhan, Mohd. Hirzie (2018) Lattice models on cayley tree with competing interactions. Jurnal Fizik Malaysia. pp. 20041-20049. ISSN 2590-4191 http://ifm.org.my/sites/default/files/publications/JFM2018_V39No2_20041.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 Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie Lattice models on cayley tree with competing interactions
description	The Ising models with few competitive interactions play a significant role in studying the behavior of spin glasses. In this paper we review some generally known results about models on Cayley tree and present new ones. It is known that a phase diagram of models with competitive interbranch neighbors on Cayley tree of second order can contain ferromagnetic, paramagnetic, antiferromagnetic phases and paramodulated phase with period 2 only. We investigate the Uncle-Nephew Ising model on Cayley tree of third order with competitive interbranch neighbors and show that it has very rich phase diagram with many modulated phases, consisting of periodic (commensurate) and aperiodic (incommensurate) domains.
format	Article
author	Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie
author_facet	Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie
author_sort	Ganikhodjaev, Nasir
title	Lattice models on cayley tree with competing interactions
title_short	Lattice models on cayley tree with competing interactions
title_full	Lattice models on cayley tree with competing interactions
title_fullStr	Lattice models on cayley tree with competing interactions
title_full_unstemmed	Lattice models on cayley tree with competing interactions
title_sort	lattice models on cayley tree with competing interactions
publisher	Institut Fizik Malaysia
publishDate	2018
url	http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/1/66203_Lattice%20Models%20on%20Cayley%20Tree.pdf
first_indexed	2023-09-18T21:33:57Z
last_indexed	2023-09-18T21:33:57Z
_version_	1777412695447830528

Lattice models on cayley tree with competing interactions

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