Ising model with competing "Uncle-Nephew" interaction

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 (Unpublished)

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Abstract

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.

Item Type:	Conference or Workshop Item (Speech/Talk)
Additional Information:	4430/46504
Uncontrolled Keywords:	Uncle-Nephew, ising model
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	07 Jan 2016 11:45
Last Modified:	12 May 2016 09:55
URI:	http://irep.iium.edu.my/id/eprint/46504

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