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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...

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Main Authors: Ganikhodjaev, Nasir, Mukhamedov, Farrukh, Pah, Chin Hee
Format: Article
Language:English
Published: Elsevier 2008
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/298/1/gnmfpc-PLA%282008%29.pdf
http://irep.iium.edu.my/298/
http://www.elsevier.com/locate/pla
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
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
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.
format Article
author Ganikhodjaev, Nasir
Mukhamedov, Farrukh
Pah, Chin Hee
author_facet Ganikhodjaev, Nasir
Mukhamedov, Farrukh
Pah, Chin Hee
author_sort Ganikhodjaev, Nasir
title 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_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_sort phase diagram of the three states potts model with next nearest neighbour interactions on the bethe lattice
publisher Elsevier
publishDate 2008
url http://irep.iium.edu.my/298/1/gnmfpc-PLA%282008%29.pdf
http://irep.iium.edu.my/298/
http://www.elsevier.com/locate/pla
_version_ 1643604593249091584
score 13.145126

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