On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
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...
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| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
AIP Publishing
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf http://irep.iium.edu.my/39783/4/scopus.pdf http://irep.iium.edu.my/39783/ http://icoqsia2014.uum.edu.my/ |
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| Summary: | 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. |
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