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: | |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/46504/ http://irep.iium.edu.my/46504/1/46504.pdf |
| _version_ | 1848782982595215360 |
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| author | Ganikhodjaev, Nasir |
| author_facet | Ganikhodjaev, Nasir |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T16:14:07Z |
| format | Proceeding Paper |
| id | iium-46504 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:14:07Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-465042016-05-12T01:55:44Z http://irep.iium.edu.my/46504/ Ising model with competing "Uncle-Nephew" interaction Ganikhodjaev, Nasir QA Mathematics 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. 2015-12-13 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/46504/1/46504.pdf Ganikhodjaev, Nasir (2015) Ising model with competing "Uncle-Nephew" interaction. In: 114th Statistical Mechanics Conference Rutgers University, 13th-15th Dec. 2015, Rutgers University, New Brunswick, New Jersey, USA. (Unpublished) |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Ising model with competing "Uncle-Nephew" interaction |
| title | Ising model with competing "Uncle-Nephew" interaction |
| title_full | Ising model with competing "Uncle-Nephew" interaction |
| title_fullStr | Ising model with competing "Uncle-Nephew" interaction |
| title_full_unstemmed | Ising model with competing "Uncle-Nephew" interaction |
| title_short | Ising model with competing "Uncle-Nephew" interaction |
| title_sort | ising model with competing "uncle-nephew" interaction |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/46504/ http://irep.iium.edu.my/46504/1/46504.pdf |