Existence of Long Range Order in the Frustrated Heisenberg Model

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概要

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• The existence of long range order (LRO) is examined in the antiferromagneticHeisenberg model on the square or the simple cubic lattice with the next nearestneighbor interactions which are taken to be 2 times the nearest neighbor ones (2 fig).It is rigorously shown that N8e1 LRO exists at a low temperature on the simple cubiclattice and in the ground state on the square lattic:e for ) smaller than a critical value2.. On the square lattice 2. increases with S starting from 0.072 for S= 1 and ap-proaches 0.5 in the limit 5= (X). On the simple cubic lattice ).= 0.002 for .5: 1 /2 andapproaches 0.25 in the limit S=(:X:).

• 社団法人日本物理学会の論文
• 1989-07-15

著者

• Kubo Kenn

  Institute Of Physics The University Of Tsukuba:max Planck Institut Fur Physik Und Astrophysik

• KISHI Tatsuya

  Institute of Physics,University of Tsukuba

• Kishi T

  Univ. Tsukuba Ibaraki

• Kishi Tatsuya

  Institute Of Physics University Of Tsukuba

関連論文

• The Spin Correlations of the S=3/2 XXZ Chain
• Metallic Ferromagnetism in a One-Dimensional Hubbard Model;Study Using the Density-Matrix Renormalization-Group Method
• Critical Properties of S=1 XXZ Chain
• The High Temperature Series for the Single-Band Hubbard Model in the Strong Correlation Limit. I
• The Effect of Electron Correlation on the Volume of a Solid Solution
• Ordering Due to Quantum Fluctuations in the Frustrated Heisenberg Model
• Existence of LRO in the Frustrated XXZ Model on the Square Lattice
• Monte Carlo Simulation for the In-Plane Susceptibility fo 1D Spin 1/2 and 1 XY Model
• Critical Properties of S=1/2 XXZ Chain
• Existence of Long Range Order in the Frustrated Heisenberg Model
• Nonlocal Unitary Transformations on S=1 Antiferromagnetic Spin Chains
• Magnetic Susceptibility of the Strongly Correlated Hubbard Model
• Magnetism of the Single-Band Hubbard Model in the Strong Correlation Limit
• The High Temperature Series for the Single-Band Hubbard Model in the Strong Correlation Limit. II : Condensed Matter and Statistical Physics
• Note on the Ground States of Systems with the Strong Hund-Coupling
• Properties of Bipolaron System
• Magnetic Susceptibility of a Doubly-Degenerate Hubbard Model in the Strong Correlation Limit : Condensed Matter and Statistical Physics

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