Potts model with competing interactions on a Cayley tree of k-th order
We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in re...
| Main Authors: | , |
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| Format: | Book Chapter |
| Language: | English |
| Published: |
Operations Research and Statistics 2011 & GST
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14402/ http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf |
| Summary: | We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple neighbors interaction J0. 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 works by Ganikhodjaev et al for k = 2. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level k-tuple neighbor interaction J0. |
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