Bethe-Ansatz Approximation for the S=1 Antiferromagnetic Spin Chain
スポンサーリンク
概要
- 論文の詳細を見る
We introduce an approximation scheme where the Bethe ansatz is applied to non-integrable systems : the many-body S matrix is approximated by a product of two-body S matrices. We call this method Bethe-ansatz approximation (BAA). We apply the BAA to the S=1 antiferromagnetic bilinear-biquadratic quantum spin chain. The model contains a parameter β, the ratio of the biquadratic coupling to the bilinear coupling. Except for β=-∞, ±1, the system is non-integrable. Varying β, we performed BAA calculation of the ground-state energy as a function of the total magnetization. Comparison with the numerical diagonalization shows a considerable efficiency of the BAA up to medium or more particle density.
- 社団法人日本物理学会の論文
- 1994-10-15
著者
-
AKUTSU Yasuhiro
Department of Physics,Faculty of Science,Osaka University
-
Kiwata H
Department Of Physics Faculty Of Science Osaka University
-
Akutsu Yasuhiro
Department Of Physics Faculty Of Science Osaka University
-
Kiwata Hirohito
Department of Physics, Faculty of Science, Osaka University
-
Kiwata Hirohito
Department Of Physics Faculty Of Science Osaka University
関連論文
- Fluctuations of a Single Step and surface Height on Vicinal Surfaces
- Stiffening Transition in Vicinal Surfaces with Adsorption
- A New Hierarchy of Colored Vertex Models
- A General Formula for Colored Z_n Graded Braid Matrices and the Fusion Braid Matrices
- Two-Dimensional Tensor Product Variational Formulation
- A New Approach to Quantum Spin Chains at Finite Temperature
- First-Order Phase Transition in the S=1 Quantum Spin Chain with Partial Integrability
- Quasi-Reentrant Interface Behavior of Two-Dimensional Frustrated Ising Models
- Logarithmic Step Fluctuations in Vicinal Surface : A Monte Carlo Study
- Fluctuation of a Single Step on the Vicinal Surface-Universal and Non-Universal Behaviors
- Relaxation of Crystal Shape Profile near the Facet Edge
- Facet Shape and Crystal Profile of Complex Crystals
- Bethe-Ansatz Approximation for the S=1 Antiferromagnetic Spin Chain
- Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs
- Trimer-Monomer Mixture Problem on (111) 1x1 Surface of Diamond Structure
- The Equilibrium Facet Shape of the Staggered Body-Centered-Cubic Solid-on-Solid Model : A Density Matrix Renormalization Group Study(Condensed Matter and Statistical Physics)
- An Imaginary Path-Weight Random-Walk Method for Calculation of One-Dimensional Interface Tension
- High-Field Phase Transitions in Integrable Quantum Spin Chains
- Exactly Solvable SU (M) Spin Chain with Long-Range Interactions
- Long-Range SU (M) Spin Chain: Exact Ground State with Arbitrary Symmetry
- Ambiguity of Anisotropic Interface Tension for Complex Crystals
- The Relation among Thermodynamic Stability, Folding Dynamics, and Designability
- Curvature Jump at the Facet Edge of a Crystal for Arbitrary Surface Orientation
- Stiffening Transition in Vicinal Surfaces with Adsorption