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Exact solution of an Ising model with competing interactions on a Cayley tree

Nasir GanikhodjaevDepartment of Mathematics, National University of Uzbekistan, Vuzgorodok 700095, Tashkent, UzbekistanChin Hee PahInstitute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, MalaysiaMohamed Ridza WahiddinCentre for Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 53100 Kuala Lumpur, Malaysia
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The exact solution of an Ising model with competing restricted interactions on the Cayley tree, and in the absence of an external field is presented. A critical curve is defined where it is possible to get phase transitions above it, and a single Gibbs state is obtained elsewhere.

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