Kinematical Interaction between S=1/2 Spins in the Two-time Spin Green's Function Method : General Physics

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概要

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• The two-time spin Green's function method (SGF) accompanied with the sum rule <S^-_jS^+_j + S^+_jS^-_j > = 1, which is peculiar to the spin operators with S = 1/2, is applied to the quantum Heisenberg antiferromagnets within the Tyablikov decoupling. It is emphasized that the sum rule is a strict expressin of the kinematical interaction between spin waves. The equation determining the long-range order σ is quite similar to the Tao Yuin's one obtained using theta function operator, which never yields σ = -∞. Unfortunately, in two dimensions, the SGF can not predict the correct value of σ at T = O. By taking the critical fluctuations into account, we attempt to dissolve this discrepancy. As a result, it is suggested that a cancellation occurs fairly well between the critical fluctations and the kinematical interaction in two dimensions.

• 社団法人日本物理学会の論文
• 2001-04-15

著者

• AOKI Tosizumi

  Gunma National College of Technology

• Aoki Tosizumi

  Gunma College Of Technology

関連論文

• Spin Correlation Functions in the Large-α Region of the Square-Lattice J_1-J_2 Model (General)
• Kinematical Interaction between S=1/2 Spins in the Two-time Spin Green's Function Method : General Physics
• Spin-Wave Theory of the Triangular-Lattice Heisenberg Antiferromagnet
• Green's Function Approach to the Modified Quantum Heisenberg Model
• Spin-Wave Theory of the Square-Lattice Heisenberg Antiferromagnet
• Spin-Wave Theory of Modified Quantum Heisenberg Model
• Roton-Like Excitation in Quantum Lattice Model

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