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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my.iium.irep.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 |
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QA Mathematics QC Physics Ganikhodjaev, Nasir Zakaria, Siti Fatimah Phase diagram of the Ising model with next-nearest-neighbour interactions |
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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/7136/1/Paper_Ausr_173-181.pdf http://irep.iium.edu.my/7136/ http://www.insipub.com/ajbas/2011/173-181.pdf |
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