IIUM Repository

Phase diagram of the Ising model with next-nearest-neighbour interactions

Ganikhodjaev, Nasir and Zakaria, Siti Fatimah (2010) Phase diagram of the Ising model with next-nearest-neighbour interactions. In: Proceedings of International Conference on Mathematical Applications in Engineering. Faculty of Engineering, International Islamic University Malaysia (IIUM), Kuala Lumpur, pp. 355-359. ISBN 9789834309046

[img] PDF (Phase diagram of the Ising model) - Published Version
Restricted to Repository staff only until 29 November 2013.

Download (3MB) | Request a copy

Abstract

We study the phase diagram of the Ising model on a Cayley tree with competing prolonged next-nearest neighbour Jp and one-level next-nearest neighbour interactions J0. Vannimenus proved that the phase diagram of Ising model with competing neareast-neighbour interaction J1 and prolonged next-nearest neighbour interactions Jp contains a modulated phase, as found for similar models on periodic lattices. Later Mariz et al generalized this result for Ising model with Jo … 0. For given lattice model on a Cayley tree, i.e., Jp … 0; Jo … 0 with J1 = 0 we describe phase diagram and clarify the role of nearest-neighbour interaction J1 and show that the class of modulated phases consists of socalled antiphase with period 4 only

Item Type: Book Chapter
Additional Information: 4430/14382
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: 03 Feb 2012 11:12
Last Modified: 20 Nov 2019 16:05
URI: http://irep.iium.edu.my/id/eprint/14382

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year