Ising model with competing "Uncle-Nephew" interaction
Consideration of spin models with multispin interactions has proved to be fruitful in many fields of physics. The axial next-nearest-neighbour Ising (ANNNI) model on Z 2 , which consists of an Ising model with nearest-neighbour interactions augmented by competing next-nearest-neighbour coupling...
| Main Author: | |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2015
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/46504/ http://irep.iium.edu.my/46504/1/46504.pdf |
| Summary: | Consideration of spin models with multispin interactions has proved to be fruitful in many
fields of physics.
The axial next-nearest-neighbour Ising (ANNNI) model on Z
2
, which consists of an Ising model
with nearest-neighbour interactions augmented by competing next-nearest-neighbour couplings
acting parallel to a single axis direction originally introduced by Elliot [1], is perhaps the simplest
nontrivial model displaying a rich phase diagram with a Lifshitz point and many spatially
modulated phases.
On the basis of numerical mean-field calculations, Bak and von Boehm [2] suggested the existence
of an infinite succession of commensurate phases, the so-called devil’s staircase, at low
temperatures. |
|---|