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Article
Cayley-Tree Ising Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Equivalent-Neighbor Interactions
Physical Review B
  • Miron Kaufman, Cleveland State University
  • M. Kahana
Document Type
Article
Publication Date
5-1-1988
Disciplines
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.
DOI
10.1103/PhysRevB.37.7638
Version
Publisher's PDF
Citation Information
Kaufman, Miron and M. Kahana. "Cayley-Tree Ising Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Equivalent-Neighbor Interactions." Physical Review B 37 (1988): 7638-7642.