Cayley-tree Ising model with antiferromagnetic nearest-neighbor and ferromagnetic equivalent-neighbor interactions

Miron Kaufman and Michael Kahana
Phys. Rev. B 37, 7638 – Published 1 May 1988
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Abstract

The phase diagram of the Ising model with antiferromagnetic nearest-neighbor interactions and ferromagnetic equivalent-neighbor interactions on the Cayley tree is determined exactly. A nonuniversal critical line separates the disordered and the ordered phases. A line of first-order transitions separating ferromagnetic order from antiferromagnetic order ends in the midst of the ordered phase at a classical ordered critical point. For a small range of values of the ratio of the two couplings, two transitions occur as the temperature is varied. In this case the uniform magnetization is not a monotonic function of the temperature.

  • Received 19 November 1987

DOI:https://doi.org/10.1103/PhysRevB.37.7638

©1988 American Physical Society

Authors & Affiliations

Miron Kaufman and Michael Kahana

  • Department of Physics, Cleveland State University, Cleveland, Ohio 44115

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Issue

Vol. 37, Iss. 13 — 1 May 1988

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