An Analysis of Ising Type Models on Cayley Tree by a Contour Argument
نویسنده
چکیده
In the paper the Ising model with competing J1 and J2 interactions with spin values ±1, on a Cayley tree of order 2 (with 3 neighbors) is considered . We study the structure of the ground states and verify the Peierls condition for the model. Our second result gives description of Gibbs measures for ferromagnetic Ising model with J1 < 0 and J2 = 0, using a contour argument which we also develop in the paper. By the argument we also study Gibbs measures for a natural generalization of the Ising model. We discuss some open problems and state several conjectures.
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تاریخ انتشار 2004