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Three-sublattice da Costa–Nobre–Yokoi model with spin S

Author

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  • Katayama, Katsuki
  • Horiguchi, Tsuyoshi

Abstract

The two-sublattice da Costa–Nobre–Yokoi (CNY) model of spin S⩾1, where spins on each of two sublattices have uniform biquadratic interactions and random exchange interactions only with spins on the other sublattice, is extended to a model on a lattice with three sublattices. We investigate the three-sublattice CNY model of spin S by using replica symmetry (RS) solutions and de Almeida and Thouless (AT) stability analyses. We find that thermodynamic behaviors of the three-sublattice CNY model of integral S show a two sublattice structure although the model is defined on the lattice with three sublattices; there is a first-order phase transition between the paramagnetic phase and a biquadratic paramagnetic phase and between the spin glass phase and a biquadratic spin glass phase for integral S. On the other hand, the model of half-integral S, including S=∞, does not have any sublattice structure in thermodynamic behaviors.

Suggested Citation

  • Katayama, Katsuki & Horiguchi, Tsuyoshi, 2000. "Three-sublattice da Costa–Nobre–Yokoi model with spin S," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 12-24.
    • Handle: RePEc:eee:phsmap:v:277:y:2000:i:1:p:12-24
    DOI: 10.1016/S0378-4371(99)00471-9
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