Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order

Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order

We study the phase diagram for Ising model on a Cayley tree of arbitrary order k with competing nearest‐neighbor interactions J1 and prolonged next‐nearest‐neighbor interactions Jp. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is...

Full description

Bibliographic Details
Main Authors: Uguz, Selman, Ganikhodjaev, Nasir, Temir, Seyit, Akin, Hasan
Format: Article
Language:English
Published: American Institute of Physics 2010
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/14098/
http://irep.iium.edu.my/14098/
http://irep.iium.edu.my/14098/
http://irep.iium.edu.my/14098/1/AIP_ICNAAM_2010_Selman.pdf
id iium-14098
recordtype eprints
spelling iium-140982013-09-19T07:22:21Z http://irep.iium.edu.my/14098/ Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order Uguz, Selman Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan QA Mathematics We study the phase diagram for Ising model on a Cayley tree of arbitrary order k with competing nearest‐neighbor interactions J1 and prolonged next‐nearest‐neighbor interactions Jp. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular case, previous work by Vannimenus for k  =  2 American Institute of Physics 2010-09-30 Article PeerReviewed application/pdf en http://irep.iium.edu.my/14098/1/AIP_ICNAAM_2010_Selman.pdf Uguz, Selman and Ganikhodjaev, Nasir and Temir, Seyit and Akin, Hasan (2010) Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order. AIP Conference Proceedings , 1281. pp. 2074-2077. ISSN 0094-243X (P), 1551-7616 (O) http://proceedings.aip.org/resource/2/apcpcs/1281/1/2074_1?isAuthorized=no 10.1063/1.3498359
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
Uguz, Selman
Ganikhodjaev, Nasir
Temir, Seyit
Akin, Hasan
Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
description We study the phase diagram for Ising model on a Cayley tree of arbitrary order k with competing nearest‐neighbor interactions J1 and prolonged next‐nearest‐neighbor interactions Jp. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular case, previous work by Vannimenus for k  =  2
format Article
author Uguz, Selman
Ganikhodjaev, Nasir
Temir, Seyit
Akin, Hasan
author_facet Uguz, Selman
Ganikhodjaev, Nasir
Temir, Seyit
Akin, Hasan
author_sort Uguz, Selman
title Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
title_short Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
title_full Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
title_fullStr Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
title_full_unstemmed Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
title_sort modulated phase of an ising system with competing interactions on a cayley tree of arbitrary order
publisher American Institute of Physics
publishDate 2010
url http://irep.iium.edu.my/14098/
http://irep.iium.edu.my/14098/
http://irep.iium.edu.my/14098/
http://irep.iium.edu.my/14098/1/AIP_ICNAAM_2010_Selman.pdf
first_indexed 2023-09-18T20:23:16Z
last_indexed 2023-09-18T20:23:16Z
_version_ 1777408248973885440

Similar Items