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

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	4430/16013
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:	31 May 2012 14:02
Last Modified:	20 Jul 2012 14:54
URI:	http://irep.iium.edu.my/id/eprint/16013

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