Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree

We study the phase diagram of the Blume-Emery-Griffiths-Vannimenus model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical...

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Bibliographic Details
Main Author: Ganikhodjaev, Nasir
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
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Online Access:http://irep.iium.edu.my/28942/1/IC-MSQUARE_1742-6596_410_1_012034.pdf
http://irep.iium.edu.my/28942/
http://iopscience.iop.org/1742-6596/410/1/012034
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Summary:We study the phase diagram of the Blume-Emery-Griffiths-Vannimenus model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical methods. In addition to the expected paramagnetic and ferromagnetic phases, we and modulated phase for Blume-Emery-Griffiths model and hence for Blume-Emery-Griffiths-Vannimenus model also.