Ground-State Energy of the Heisenberg Model with XY-Like Anisotropy : Condensed Matter and Statistical Physics
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概要
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We estimate the ground-state energy of the quantum Heisenberg model with XY-like anisotropy on various lattices by a self-consistent harmonic approximation and by an expansion from the classical limit in powers of 1/S. A spin wave theory due to Villain gives the first order term in 1/S and the second order correction is obtained from the iterative solution of equations in the self-consistent harmonic approximation. Our coefficient of the second order term is not exact but we have reasons to believe that it is quite accurate. The second order expansion yields excellent values when comparison is possible with other exact and approximate estimates while the self-consistent harmonic approximation does not always work well. Our methods have the advantage of wide range of applicability and simplicity of the basic physical picture.
- 理論物理学刊行会の論文
- 1985-01-25
著者
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Miyake S
Department Of Physics Tokyo Institute Of Technology
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Nishimori Hidetoshi
Department Of Physics Tokyo Institute Of Technology
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Miyake Satoru
Department Of Orthopedic Surgery Graduate School Of Medicine Gifu University
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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Nishimori H
Department Of Physics Tokyo Institute Of Technology
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NISHIMORI Hidetoshi
Department of Physics, Tokyo Institute of Tehchnology
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Miyake Satoru
Department of Physics, Tokyo Institute of Technology
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