Potts model with the simplest modulated phase

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...

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Main Authors: Ganikhodjaev, Nasir, Temir, Seyit, Akin, Hasan, Uguz, Selman
Format: Article
Language:English
Published: Han'guk Mulli Hakhoe 2011
Subjects:
QA Mathematics
QC Physics
Online Access:http://irep.iium.edu.my/7495/
http://irep.iium.edu.my/7495/
http://irep.iium.edu.my/7495/
http://irep.iium.edu.my/7495/1/Korean_Physics_Journal_GTAU.pdf
id iium-7495
recordtype eprints
spelling iium-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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Ganikhodjaev, Nasir
Temir, Seyit
Akin, Hasan
Uguz, Selman
Potts model with the simplest modulated phase
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.
format Article
author Ganikhodjaev, Nasir
Temir, Seyit
Akin, Hasan
Uguz, Selman
author_facet Ganikhodjaev, Nasir
Temir, Seyit
Akin, Hasan
Uguz, Selman
author_sort Ganikhodjaev, Nasir
title Potts model with the simplest modulated phase
title_short 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_sort potts model with the simplest modulated phase
publisher Han'guk Mulli Hakhoe
publishDate 2011
url http://irep.iium.edu.my/7495/
http://irep.iium.edu.my/7495/
http://irep.iium.edu.my/7495/
http://irep.iium.edu.my/7495/1/Korean_Physics_Journal_GTAU.pdf
first_indexed 2023-09-18T20:16:55Z
last_indexed 2023-09-18T20:16:55Z
_version_ 1777407849550315520

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