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Lattice models on cayley tree with competing interactions

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

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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.

Item Type: Article (Journal)
Additional Information: 4430/66203
Uncontrolled Keywords: Ising Model, Cayley tree, Phase diagram, Modulated Phase.
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Kulliyyah of Science
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 02 Oct 2018 10:17
Last Modified: 02 Oct 2018 10:17
URI: http://irep.iium.edu.my/id/eprint/66203

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