On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier

Ganikhodjaev, Nasir and Rodzhan, Mohd Hirzie (2014) On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier. In: International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12-14 August 2014, Langkawi, Kedah.

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Abstract

We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical representation of Cayley tree order 5. The phase diagram was investigated for several ranges of the competing parameters and it showed the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level pentagon interaction. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. Lastly, the variation of wavevector with temperature in the modulated phase was studied in detail where narrow commensurate steps between incommensurate regions appeared when investigating the Lyapunov exponent associated with trajectory of the system.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	4430/39783
Uncontrolled Keywords:	Ising model, Cayley tree-like lattice, competing interactions, phase diagram, modulated phases.
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:	15 Dec 2014 10:39
Last Modified:	24 May 2018 10:16
URI:	http://irep.iium.edu.my/id/eprint/39783

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