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Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order

Uguz, Selman and Ganikhodjaev, Nasir and Temir, Seyit and Akin, Hasan (2010) Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order. AIP Conference Proceedings , 1281. pp. 2074-2077. ISSN 0094-243X (P), 1551-7616 (O)

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Abstract

We study the phase diagram for Ising model on a Cayley tree of arbitrary order k with competing nearest‐neighbor interactions J1 and prolonged next‐nearest‐neighbor interactions Jp. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular case, previous work by Vannimenus for k  =  2

Item Type: Article (Journal)
Additional Information: 4430/14098
Uncontrolled Keywords: magnetisation, antiferromagnetic materials, phase diagrams
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
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 03 Jan 2012 14:46
Last Modified: 19 Sep 2013 15:22
URI: http://irep.iium.edu.my/id/eprint/14098

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