Lattice models on cayley tree with competing interactions
The Ising models with few competitive interactions play a significant role in studying the behavior of spin glasses. In this paper we review some generally known results about models on Cayley tree and present new ones. It is known that a phase diagram of models with competitive interbranch neighbor...
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| Format: | Article |
| Language: | English |
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Institut Fizik Malaysia
2018
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| Online Access: | http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/1/66203_Lattice%20Models%20on%20Cayley%20Tree.pdf |
| _version_ | 1848786530064138240 |
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| author | Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie |
| author_facet | Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | The Ising models with few competitive interactions play a significant role in studying the behavior of spin glasses. In this paper we review some generally known results about models on Cayley tree and present new ones. It is known that a phase diagram of models with competitive interbranch neighbors on Cayley tree of second order can contain ferromagnetic, paramagnetic, antiferromagnetic phases and paramodulated phase with period 2 only. We investigate the Uncle-Nephew Ising model on Cayley tree of third order with competitive interbranch neighbors and show that it has very rich phase diagram with many modulated phases, consisting of periodic (commensurate) and aperiodic (incommensurate) domains. |
| first_indexed | 2025-11-14T17:10:30Z |
| format | Article |
| id | iium-66203 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T17:10:30Z |
| publishDate | 2018 |
| publisher | Institut Fizik Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-662032018-10-02T02:17:55Z http://irep.iium.edu.my/66203/ Lattice models on cayley tree with competing interactions Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie QA Mathematics The Ising models with few competitive interactions play a significant role in studying the behavior of spin glasses. In this paper we review some generally known results about models on Cayley tree and present new ones. It is known that a phase diagram of models with competitive interbranch neighbors on Cayley tree of second order can contain ferromagnetic, paramagnetic, antiferromagnetic phases and paramodulated phase with period 2 only. We investigate the Uncle-Nephew Ising model on Cayley tree of third order with competitive interbranch neighbors and show that it has very rich phase diagram with many modulated phases, consisting of periodic (commensurate) and aperiodic (incommensurate) domains. Institut Fizik Malaysia 2018-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/66203/1/66203_Lattice%20Models%20on%20Cayley%20Tree.pdf Ganikhodjaev, Nasir and Mohd. Rodzhan, Mohd. Hirzie (2018) Lattice models on cayley tree with competing interactions. Jurnal Fizik Malaysia. pp. 20041-20049. ISSN 2590-4191 http://ifm.org.my/sites/default/files/publications/JFM2018_V39No2_20041.pdf |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mohd. Rodzhan, Mohd. Hirzie Lattice models on cayley tree with competing interactions |
| title | Lattice models on cayley tree with competing interactions |
| title_full | Lattice models on cayley tree with competing interactions |
| title_fullStr | Lattice models on cayley tree with competing interactions |
| title_full_unstemmed | Lattice models on cayley tree with competing interactions |
| title_short | Lattice models on cayley tree with competing interactions |
| title_sort | lattice models on cayley tree with competing interactions |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/ http://irep.iium.edu.my/66203/1/66203_Lattice%20Models%20on%20Cayley%20Tree.pdf |