The Phase Structure of Antiferromagnetic Ising Model in the Presence of Frustrations

Abstract

The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for different temperatures and construct the resulting phase diagram. We show that frustration effects essentially change the critical properties. The model exhibits three distinct critical regions, including re-entrant phase structure and Griffiths singularities.

5 pages, 5 figures, submited to Phys. Lett. A

References in corpus (1)

• Singularites at a Dense Set of Temperature in Husimi Tree

Cited by in corpus (5)

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• Superstable cycles for antiferromagnetic Q-state Potts and three-site interaction Ising models on recursive lattices
• Chaotic spin-spin entanglement on a recursive lattice