Phase diagram of the Potts Model with competing interactions
We study the phase diagram for the Potts Model on a Cayley tree with competing nearest‐neighbor interaction J1 and next‐nearest‐neighbor interactions J2 and J3. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established. The pha...
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| Format: | Article |
| Language: | English |
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American Institute of Physics
2009
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| Online Access: | http://irep.iium.edu.my/14093/ http://irep.iium.edu.my/14093/9/AIP_2009.pdf |
| _version_ | 1848777649392975872 |
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| author | Ganikhodjaev, Nasir |
| author_facet | Ganikhodjaev, Nasir |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagram for the Potts Model on a Cayley tree with competing nearest‐neighbor interaction J1 and next‐nearest‐neighbor interactions J2 and J3. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established. The phase diagram contains a modulated phase, as found for similar models on periodic lattices, and also new phase, namely, antiferromagnetic phase |
| first_indexed | 2025-11-14T14:49:20Z |
| format | Article |
| id | iium-14093 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:49:20Z |
| publishDate | 2009 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-140932012-01-27T04:05:23Z http://irep.iium.edu.my/14093/ Phase diagram of the Potts Model with competing interactions Ganikhodjaev, Nasir QA Mathematics QC Physics We study the phase diagram for the Potts Model on a Cayley tree with competing nearest‐neighbor interaction J1 and next‐nearest‐neighbor interactions J2 and J3. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established. The phase diagram contains a modulated phase, as found for similar models on periodic lattices, and also new phase, namely, antiferromagnetic phase American Institute of Physics 2009-08-25 Article PeerReviewed application/pdf en http://irep.iium.edu.my/14093/9/AIP_2009.pdf Ganikhodjaev, Nasir (2009) Phase diagram of the Potts Model with competing interactions. AIP Conference Proceedings , 1150. pp. 407-410. ISSN 0094-243X (P), 1551-7616 (O) http://proceedings.aip.org/resource/2/apcpcs/1150/1/407_1?isAuthorized=no 10.1063/1.3192281 |
| spellingShingle | QA Mathematics QC Physics Ganikhodjaev, Nasir Phase diagram of the Potts Model with competing interactions |
| title | Phase diagram of the Potts Model with competing interactions |
| title_full | Phase diagram of the Potts Model with competing interactions |
| title_fullStr | Phase diagram of the Potts Model with competing interactions |
| title_full_unstemmed | Phase diagram of the Potts Model with competing interactions |
| title_short | Phase diagram of the Potts Model with competing interactions |
| title_sort | phase diagram of the potts model with competing interactions |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/14093/ http://irep.iium.edu.my/14093/ http://irep.iium.edu.my/14093/ http://irep.iium.edu.my/14093/9/AIP_2009.pdf |