Potts model with the simplest modulated phase
We study the phase diagrams for the Potts model on the Bethe lattice with competing nearest-neighbor interactions J1 and ternary interactions Jp and Jt: At vanishing temperature, the phase diagram is fully determined for all values and signs of Jp=J1 and Jt=J1; in particular, we show that the phase...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Han'guk Mulli Hakhoe
2011
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| Online Access: | http://irep.iium.edu.my/7495/1/Korean_Physics_Journal_GTAU.pdf |
| _version_ | 1796875518949195776 |
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| author | Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan Uguz, Selman |
| author_facet | Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan Uguz, Selman |
| author_sort | Ganikhodjaev, Nasir |
| collection | IIUM |
| description | We study the phase diagrams for the Potts model on the Bethe lattice with competing nearest-neighbor interactions J1 and ternary interactions Jp and Jt: At vanishing temperature, the phase diagram is fully determined for all values and signs of Jp=J1 and Jt=J1; in particular, we show
that the phase diagrams contain ferromagnetic, paramagnetic and < 2 > phases only; i.e., the set of modulated phases consists of the < 2 > phase only for J1 > 0 and Jp=J1 < 0: We verify that values of T=J1 in the very narrow strip ¡0:11 < T=J1 < 0 with ¡Jp=J1 < 0 favor the modulated
phase, which is either a commensurate phase with a very large period or an incommensurate phase. The transition lines are obtained from stability conditions, and characteristic points in the phase diagram are analyzed by using numerical iterations. Also the wavevectors versus temperature are plotted for some critical points in the modulated phases. |
| first_indexed | 2024-03-05T22:39:53Z |
| format | Article |
| id | oai:generic.eprints.org:7495 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:39:53Z |
| publishDate | 2011 |
| publisher | Han'guk Mulli Hakhoe |
| record_format | dspace |
| spelling | oai:generic.eprints.org:74952013-06-25T03:56:32Z http://irep.iium.edu.my/7495/ Potts model with the simplest modulated phase Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan Uguz, Selman QA Mathematics QC Physics We study the phase diagrams for the Potts model on the Bethe lattice with competing nearest-neighbor interactions J1 and ternary interactions Jp and Jt: At vanishing temperature, the phase diagram is fully determined for all values and signs of Jp=J1 and Jt=J1; in particular, we show that the phase diagrams contain ferromagnetic, paramagnetic and < 2 > phases only; i.e., the set of modulated phases consists of the < 2 > phase only for J1 > 0 and Jp=J1 < 0: We verify that values of T=J1 in the very narrow strip ¡0:11 < T=J1 < 0 with ¡Jp=J1 < 0 favor the modulated phase, which is either a commensurate phase with a very large period or an incommensurate phase. The transition lines are obtained from stability conditions, and characteristic points in the phase diagram are analyzed by using numerical iterations. Also the wavevectors versus temperature are plotted for some critical points in the modulated phases. Han'guk Mulli Hakhoe 2011-11 Article PeerReviewed application/pdf en http://irep.iium.edu.my/7495/1/Korean_Physics_Journal_GTAU.pdf Ganikhodjaev, Nasir and Temir, Seyit and Akin, Hasan and Uguz, Selman (2011) Potts model with the simplest modulated phase. Korean Physical Society. Journal, 59 (5). pp. 2971-2979. ISSN 0374-4884 (P), 1976-8524 (O) http://www.kps.or.kr/jkps/abstract_view.asp?articleuid=BDA9E2B8-7D25-4154-97DF-82A952B37598&globalmenu=3&localmenu=10 10.3938/jkps.59.2971 |
| spellingShingle | QA Mathematics QC Physics Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan Uguz, Selman Potts model with the simplest modulated phase |
| title | Potts model with the simplest modulated phase |
| title_full | Potts model with the simplest modulated phase |
| title_fullStr | Potts model with the simplest modulated phase |
| title_full_unstemmed | Potts model with the simplest modulated phase |
| title_short | Potts model with the simplest modulated phase |
| title_sort | potts model with the simplest modulated phase |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/7495/1/Korean_Physics_Journal_GTAU.pdf |
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