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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Institute of Physics
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14098/ http://irep.iium.edu.my/14098/1/AIP_ICNAAM_2010_Selman.pdf |
| _version_ | 1848777650639732736 |
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| author | Uguz, Selman Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan |
| author_facet | Uguz, Selman Ganikhodjaev, Nasir Temir, Seyit Akin, Hasan |
| author_sort | Uguz, Selman |
| building | IIUM Repository |
| collection | Online Access |
| 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 |
| first_indexed | 2025-11-14T14:49:22Z |
| format | Article |
| id | iium-14098 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:49:22Z |
| publishDate | 2010 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | QA Mathematics |
| 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 |