Phase diagram of the Ising model with next-nearest-neighbour interactions
We study the phase diagram of the Ising model on a Cayley tree with competing prolonged next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-neares...
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| Format: | Article |
| Language: | English |
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INSI Publications
2011
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| Online Access: | http://irep.iium.edu.my/7136/ http://irep.iium.edu.my/7136/1/Paper_Ausr_173-181.pdf |
| _version_ | 1848776795075117056 |
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| author | Ganikhodjaev, Nasir Zakaria, Siti Fatimah |
| author_facet | Ganikhodjaev, Nasir Zakaria, Siti Fatimah |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagram of the Ising model on a Cayley tree with competing prolonged
next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that
the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-nearest neighbour interactions Jp contains a modulated phase, as found for similar models on periodic lattices. Later Mariz et al generalized this result for Ising model with Jo … 0. For given lattice model on a Cayley tree, i.e., Jp … 0; Jo … 0 with J1 = 0 we describe phase diagram and clarify the
role of nearest-neighbour interaction J1 and show that the class of modulated phases consists of socalled antiphase with period 4 only. |
| first_indexed | 2025-11-14T14:35:46Z |
| format | Article |
| id | iium-7136 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:35:46Z |
| publishDate | 2011 |
| publisher | INSI Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-71362019-11-20T08:07:11Z http://irep.iium.edu.my/7136/ Phase diagram of the Ising model with next-nearest-neighbour interactions Ganikhodjaev, Nasir Zakaria, Siti Fatimah QA Mathematics QC Physics We study the phase diagram of the Ising model on a Cayley tree with competing prolonged next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-nearest neighbour interactions Jp contains a modulated phase, as found for similar models on periodic lattices. Later Mariz et al generalized this result for Ising model with Jo … 0. For given lattice model on a Cayley tree, i.e., Jp … 0; Jo … 0 with J1 = 0 we describe phase diagram and clarify the role of nearest-neighbour interaction J1 and show that the class of modulated phases consists of socalled antiphase with period 4 only. INSI Publications 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/7136/1/Paper_Ausr_173-181.pdf Ganikhodjaev, Nasir and Zakaria, Siti Fatimah (2011) Phase diagram of the Ising model with next-nearest-neighbour interactions. Australian Journal of Basic and Applied Sciences, 5 (2). pp. 173-181. ISSN 1991-8178 http://www.insipub.com/ajbas/2011/173-181.pdf |
| spellingShingle | QA Mathematics QC Physics Ganikhodjaev, Nasir Zakaria, Siti Fatimah Phase diagram of the Ising model with next-nearest-neighbour interactions |
| title | Phase diagram of the Ising model with next-nearest-neighbour interactions |
| title_full | Phase diagram of the Ising model with next-nearest-neighbour interactions |
| title_fullStr | Phase diagram of the Ising model with next-nearest-neighbour interactions |
| title_full_unstemmed | Phase diagram of the Ising model with next-nearest-neighbour interactions |
| title_short | Phase diagram of the Ising model with next-nearest-neighbour interactions |
| title_sort | phase diagram of the ising model with next-nearest-neighbour interactions |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/7136/ http://irep.iium.edu.my/7136/ http://irep.iium.edu.my/7136/1/Paper_Ausr_173-181.pdf |