Tensor Product State Formulation for the Spin 1/2 Antiferromagnetic XXZ Model on the Checkerboard Lattice(General)

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概要

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• Vertical density matrix algorithm (VDMA), a tensor product state formulation of the "higher-dimensional" density matrix renormalization group, is applied to the spin 1/2 antiferromagnetic XXZ model on the checkerboard lattice. The VDMA was, in the preceding study, applied to the transverse field Ising model on the square lattice and the three-dimensional classical Ising model. In the present paper, its implementation procedure is modified in order to apply the VDMA to the XXZ model. Numerical accuracy of the VDMA is investigated for the XXZ model on the square lattice, which shows that the method gives reliable results for the ground state energy. In the frustrated region, VDMA results are compared with a simple calculation based on a magnetically disordered state. It is found that the weakly frustrated region is in the Neel ordered phase, while in the strongly frustrated region the realized phase cannot be identified clearly by the obtained results.

• 社団法人日本物理学会の論文
• 2004-01-15

著者

• Maeshima Nobuya

  Large-scale Computational Science Division Cybermedia Center Osaka University

関連論文

• Tensor Product State Formulation for the Spin 1/2 Antiferromagnetic XXZ Model on the Checkerboard Lattice
• Tensor Product State Formulation for the Spin 1/2 Antiferromagnetic XXZ Model on the Checkerboard Lattice(General)

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