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2012 | 121 | 1 | 114-118
Article title

The Competing Interactions on a Cayley Tree-Like Lattice: Pentagonal Chandelier

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EN
Abstracts
EN
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. σ = ± 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 J_1, prolonged next-nearest-neighbor interactions J_{p} and one-level next-nearest-neighbor senary interactions J_{l_1}^{(6)}. 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.
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EN
Contributors
author
  • Arts and Science Faculty, Department of Mathematics, Harran University, Sanliurfa, 63120, Turkey
  • Department of Computational and Theoretical Sciences, Faculty of Science, IIUM, 25200 Kuantan, Malaysia
author
  • Faculty of Education, Department of Mathematics, Zirve University, Gaziantep, 27260, Turkey
author
  • Arts and Science Faculty, Department of Mathematics, Harran University, Sanliurfa, 63120, Turkey
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Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n134kz
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