su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（5）
• 页码范围: 1151-1154
• 页数: 4页
• 语种: 英文

摘要

The XYZ antiferromagnetic model in linear spin-wave frame is shown explicitly to have an su(1,2) aigebraic structure: the Hamiltonian can be written as a linear function of the su(1,2) algebra generators. Based on it, the energy eigenvalues are obtained by making use of the similar transformations, and the algebraic diagonalization method is investigated. Some numerical solutions are given, and the results indicate that only one group solution could be accepted in physics.