Long-Range Order of the Three-Sublattice Structure in the S = 1 Heisenberg Antiferromagnet on a Spatially Anisotropic Triangular Lattice

Abstract

We study the S=1 Heisenberg antiferromagnet on a spatially anisotropic triangular lattice by the numerical diagonalization method. We examine the stability of the long-range order of a three-sublattice structure observed in the isotropic system between the isotropic case and the case of isolated one-dimensional chains. It is found that the long-range-ordered ground state with this structure exists in the range of 0.7 J2/J1 1, where J1 is the interaction amplitude along the chains and J2 is the amplitude of other interactions.

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