Phase diagram of the Ising model with next-nearest-neighbour interactions

Phase diagram of the Ising model with next-nearest-neighbour interactions

We study the phase diagram of the Ising model on a Cayley tree with competing prolonged next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-neares...

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Main Authors: Ganikhodjaev, Nasir, Zakaria, Siti Fatimah
Format: Article
Language:English
Published: INSI Publications 2011
Subjects:
QA Mathematics
QC Physics
Online Access:http://irep.iium.edu.my/7136/
http://irep.iium.edu.my/7136/
http://irep.iium.edu.my/7136/1/Paper_Ausr_173-181.pdf
id iium-7136
recordtype eprints
spelling iium-71362019-11-20T08:07:11Z http://irep.iium.edu.my/7136/ Phase diagram of the Ising model with next-nearest-neighbour interactions Ganikhodjaev, Nasir Zakaria, Siti Fatimah QA Mathematics QC Physics We study the phase diagram of the Ising model on a Cayley tree with competing prolonged next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-nearest neighbour interactions Jp contains a modulated phase, as found for similar models on periodic lattices. Later Mariz et al generalized this result for Ising model with Jo … 0. For given lattice model on a Cayley tree, i.e., Jp … 0; Jo … 0 with J1 = 0 we describe phase diagram and clarify the role of nearest-neighbour interaction J1 and show that the class of modulated phases consists of socalled antiphase with period 4 only. INSI Publications 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/7136/1/Paper_Ausr_173-181.pdf Ganikhodjaev, Nasir and Zakaria, Siti Fatimah (2011) Phase diagram of the Ising model with next-nearest-neighbour interactions. Australian Journal of Basic and Applied Sciences, 5 (2). pp. 173-181. ISSN 1991-8178 http://www.insipub.com/ajbas/2011/173-181.pdf
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
Zakaria, Siti Fatimah
Phase diagram of the Ising model with next-nearest-neighbour interactions
description We study the phase diagram of the Ising model on a Cayley tree with competing prolonged next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-nearest neighbour interactions Jp contains a modulated phase, as found for similar models on periodic lattices. Later Mariz et al generalized this result for Ising model with Jo … 0. For given lattice model on a Cayley tree, i.e., Jp … 0; Jo … 0 with J1 = 0 we describe phase diagram and clarify the role of nearest-neighbour interaction J1 and show that the class of modulated phases consists of socalled antiphase with period 4 only.
format Article
author Ganikhodjaev, Nasir
Zakaria, Siti Fatimah
author_facet Ganikhodjaev, Nasir
Zakaria, Siti Fatimah
author_sort Ganikhodjaev, Nasir
title Phase diagram of the Ising model with next-nearest-neighbour interactions
title_short Phase diagram of the Ising model with next-nearest-neighbour interactions
title_full Phase diagram of the Ising model with next-nearest-neighbour interactions
title_fullStr Phase diagram of the Ising model with next-nearest-neighbour interactions
title_full_unstemmed Phase diagram of the Ising model with next-nearest-neighbour interactions
title_sort phase diagram of the ising model with next-nearest-neighbour interactions
publisher INSI Publications
publishDate 2011
url http://irep.iium.edu.my/7136/
http://irep.iium.edu.my/7136/
http://irep.iium.edu.my/7136/1/Paper_Ausr_173-181.pdf
first_indexed 2023-09-18T20:16:25Z
last_indexed 2023-09-18T20:16:25Z
_version_ 1777407818117152768

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