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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
INSI Publications
2011
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| Subjects: | |
| Online Access: | 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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| Summary: | 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. |
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