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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| التنسيق: | Conference or Workshop Item |
| اللغة: | English |
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2015
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| الوصول للمادة أونلاين: | http://irep.iium.edu.my/46504/1/46504.pdf http://irep.iium.edu.my/46504/ |
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my.iium.irep.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 REM 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 (Unpublished) |
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Universiti Islam Antarabangsa Malaysia |
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IIUM Library |
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Institutional Repository |
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Malaysia |
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International Islamic University Malaysia |
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http://irep.iium.edu.my/ |
| 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/46504/1/46504.pdf http://irep.iium.edu.my/46504/ |
| _version_ |
1643613011538083840 |
| score |
13.251813 |