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Anisotropic antiferromagnetic XY-model of classical Heisenberg spins on a triangular lattice

Author

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  • Horiguchi, Tsuyoshi
  • Loison, Damien
  • Diep, Hung T.
  • Nagai, Ojiro

Abstract

We obtain a phase diagram of an anisotropic antiferromagnetic XY-model of classical Heisenberg spins on a triangular lattice by calculating the average values of x-component and y-component of spins, the chirality, angles between averaged spins on sublattices and the specific heat by means of Monte Carlo simulations. It turns out that the system has two phase transition temperatures: one for the Kosterlitz-Thouless-type phase transition and the other for the Ising-type phase transition. These two phase transition temperatures are merged into one in the isotropic XY-model. We find that the chirality is a good order parameter at low temperatures even in the system with anisotropic interaction. For the system with isotropic interaction, the 120 degree structure persists as far as the chirality is non-zero.

Suggested Citation

  • Horiguchi, Tsuyoshi & Loison, Damien & Diep, Hung T. & Nagai, Ojiro, 1994. "Anisotropic antiferromagnetic XY-model of classical Heisenberg spins on a triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 508-520.
    • Handle: RePEc:eee:phsmap:v:206:y:1994:i:3:p:508-520
    DOI: 10.1016/0378-4371(94)90321-2
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    Cited by:

    1. Horiguchi, Tsuyoshi, 1995. "Decomposition of Ising spin of spin-S Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 452-460.

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