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...
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| Format: | Conference or Workshop Item |
| Language: | English |
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2015
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| Online Access: | http://irep.iium.edu.my/46504/ http://irep.iium.edu.my/46504/1/46504.pdf |
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iium-46504 |
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eprints |
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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 Conference or Workshop Item 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 (Unpublished) |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Ganikhodjaev, Nasir Ising model with competing "Uncle-Nephew" interaction |
| 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. |
| format |
Conference or Workshop Item |
| author |
Ganikhodjaev, Nasir |
| author_facet |
Ganikhodjaev, Nasir |
| author_sort |
Ganikhodjaev, Nasir |
| title |
Ising model with competing "Uncle-Nephew" interaction |
| title_short |
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_sort |
ising model with competing "uncle-nephew" interaction |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/46504/ http://irep.iium.edu.my/46504/1/46504.pdf |
| first_indexed |
2023-09-18T21:06:13Z |
| last_indexed |
2023-09-18T21:06:13Z |
| _version_ |
1777410951210860544 |