Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice
We have found an exact phase diagram of the Potts model with competing nearest neighbor and next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the multicritical...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2008
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/298/ http://irep.iium.edu.my/298/1/gnmfpc-PLA%282008%29.pdf |
| _version_ | 1848775693019643904 |
|---|---|
| author | Ganikhodjaev, Nasir Mukhamedov, Farrukh Pah, Chin Hee |
| author_facet | Ganikhodjaev, Nasir Mukhamedov, Farrukh Pah, Chin Hee |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We have found an exact phase diagram of the Potts model with competing nearest neighbor and next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the multicritical point (T=0, p=1/3). We report on a new phase which we denote as paramodulated, found at low temperatures and characterized by zero average magnetization lying inside the modulated phase. Such a phase, inherent in the Potts model has no analogues in the Ising setting.
|
| first_indexed | 2025-11-14T14:18:15Z |
| format | Article |
| id | iium-298 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:18:15Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-2982011-09-06T01:00:38Z http://irep.iium.edu.my/298/ Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice Ganikhodjaev, Nasir Mukhamedov, Farrukh Pah, Chin Hee QA Mathematics We have found an exact phase diagram of the Potts model with competing nearest neighbor and next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the multicritical point (T=0, p=1/3). We report on a new phase which we denote as paramodulated, found at low temperatures and characterized by zero average magnetization lying inside the modulated phase. Such a phase, inherent in the Potts model has no analogues in the Ising setting. Elsevier 2008 Article PeerReviewed application/pdf en http://irep.iium.edu.my/298/1/gnmfpc-PLA%282008%29.pdf Ganikhodjaev, Nasir and Mukhamedov, Farrukh and Pah, Chin Hee (2008) Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Physics Letters A, 373 (1). pp. 33-38. ISSN 0375-9601 http://www.elsevier.com/locate/pla 10.1016/j.physleta.2008.10.060 |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mukhamedov, Farrukh Pah, Chin Hee Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice |
| title | Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice |
| title_full | Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice |
| title_fullStr | Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice |
| title_full_unstemmed | Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice |
| title_short | Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice |
| title_sort | phase diagram of the three states potts model with next nearest neighbour interactions on the bethe lattice |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/298/ http://irep.iium.edu.my/298/ http://irep.iium.edu.my/298/ http://irep.iium.edu.my/298/1/gnmfpc-PLA%282008%29.pdf |