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.

arXiv comment5 pages, 7 figures, to be published in J. Phys. Soc. Jpn

References in corpus (16)

• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Ordering in spatially anisotropic triangular antiferromagnets
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Functional renormalization group for the anisotropic triangular antiferromagnet
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Reexamination of Finite-Lattice Extrapolation of Haldane Gaps
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba${}_3$NiSb${}_2$O${}_9$
• Order in a Spatially Anisotropic Triangular Antiferromagnet
• 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
• Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets
• The magnetization process of the spin-one triangular-lattice Heisenberg antiferromagnet

Cited by in corpus (23)

• 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 Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Ground-state properties of the triangular-lattice Heisenberg antiferromagnet with arbitrary spin quantum number $s$
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square-kagome lattice
• Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice
• 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
• Correlated partial disorder in a weakly frustrated quantum antiferromagnet
• Instability of a ferrimagnetic state of a frustrated S=1/2 Heisenberg antiferromagnet in two dimensions
• Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior
• Precise estimation of the S = 2 Haldane gap by numerical diagonalization
• Thermal evolution of quasi-1D spin correlations within the anisotropic triangular lattice of $\alpha$-NaMnO${}_2$
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration
• Gapless Spin Excitations in the $S=1/2$ Kagome- and Triangular-Lattice Heisenberg Antiferromagnets