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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主要作者: Ganikhodjaev, Nasir
格式: Article
语言:English
出版: American Institute of Physics 2009
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spelling my.iium.irep.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 REM 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
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
QC Physics
spellingShingle QA Mathematics
QC Physics
Ganikhodjaev, Nasir
Phase diagram of the Potts Model with competing interactions
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
format Article
author Ganikhodjaev, Nasir
author_facet Ganikhodjaev, Nasir
author_sort Ganikhodjaev, Nasir
title Phase diagram of the Potts Model with competing interactions
title_short 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_sort phase diagram of the potts model with competing interactions
publisher American Institute of Physics
publishDate 2009
url http://irep.iium.edu.my/14093/9/AIP_2009.pdf
http://irep.iium.edu.my/14093/
http://proceedings.aip.org/resource/2/apcpcs/1150/1/407_1?isAuthorized=no
_version_ 1643606849717534720
score 13.251813