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 \simle J_2/J_1 \le 1, where J_1 is the interaction amplitude along the chains and J_2 is the amplitude of other interactions.

5 pages, 7 figures, to be published in J. Phys. Soc. Jpn

References in corpus (6)

• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Ordering in spatially anisotropic triangular antiferromagnets
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization
• The magnetization process of the spin-one triangular-lattice Heisenberg antiferromagnet

Cited by in corpus (12)

• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• The ground-state phase diagram of the XXZ spin-s kagome antiferromagnet: A coupled-cluster study
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides
• Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau
• Quantum critical phenomena in a spin-1/2 frustrated square lattice with spatial anisotropy
• One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice
• Gapped ground state in a spin-1/2 frustrated square lattice
• Instability of a ferrimagnetic state of a frustrated S=1/2 Heisenberg antiferromagnet in two dimensions
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice