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 |
| Published: |
American Institute of Physics
2010
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| Subjects: | |
| 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 |
| Summary: | 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 |
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