The competing interactions on a Cayley tree-like lattice: pentagonal chandelier
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 p...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences Publishing House
2012
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| Online Access: | http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/1/Acta_Physica_Polonica_A_UGAT.pdf |
| _version_ | 1848777867416043520 |
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| author | Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit |
| author_facet | Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit |
| author_sort | Uguz, Selman |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T14:52:48Z |
| format | Article |
| id | iium-16013 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:52:48Z |
| publishDate | 2012 |
| publisher | Polish Academy of Sciences Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-160132012-07-20T06:54:55Z http://irep.iium.edu.my/16013/ The competing interactions on a Cayley tree-like lattice: pentagonal chandelier Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit QA Mathematics 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. Polish Academy of Sciences Publishing House 2012-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/16013/1/Acta_Physica_Polonica_A_UGAT.pdf 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 http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z1p34.pdf |
| spellingShingle | QA Mathematics Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit The competing interactions on a Cayley tree-like lattice: pentagonal chandelier |
| title | The competing interactions on a Cayley tree-like lattice: pentagonal chandelier |
| title_full | The competing interactions on a Cayley tree-like lattice: pentagonal chandelier |
| title_fullStr | The competing interactions on a Cayley tree-like lattice: pentagonal chandelier |
| title_full_unstemmed | The competing interactions on a Cayley tree-like lattice: pentagonal chandelier |
| title_short | The competing interactions on a Cayley tree-like lattice: pentagonal chandelier |
| title_sort | competing interactions on a cayley tree-like lattice: pentagonal chandelier |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/ http://irep.iium.edu.my/16013/1/Acta_Physica_Polonica_A_UGAT.pdf |