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Frustration in the anisotropic XY model on a triangular lattice


  • Pires, A.S.T.


We study the XY antiferromagnet with S=1 and single-ion anisotropy on a triangular lattice using the bond operator formalism in two cases: the J1−J2 model, which includes a next-nearest-neighbor coupling J2, and the spatially-anisotropic J1−J1′ model, in which the nearest-neighbor interaction takes a value J1′ along one of the bond directions. The introduction of frustrating second-neighbor interactions leads, at intermediate values of the coupling, to the existence of a disordered phase with the possibility of a quantum liquid behavior. The effect of the frustration on the quantum phase transition is studied. The phase diagrams at T=0 are presented.

Suggested Citation

  • Pires, A.S.T., 2012. "Frustration in the anisotropic XY model on a triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5433-5438.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:22:p:5433-5438
    DOI: 10.1016/j.physa.2012.06.046

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