Effective Topological Action in Heisenberg Spin Model as Berry's Phase

Sun Changpu; Pang Lin; Ge Molin

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(S1) : 51-56

Effective Topological Action in Heisenberg Spin Model as Berry's Phase

1 Depanment of Physics, Northeast Normal University, Changchun, Jilin;Nankai Institute of Mathematics, Tianjin, China;
2 Lanzhou College of Railway, Lanzhou, Gansu, China Nankai Institute of Mathematics, Tianjin. China

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Abstract：
This paper shows that the topologically additional action appearing in the Heisenberg spin model can be understood as superposition of Berry's phase for the single spins in an average fields of many particles. In the case of low temperature, using the high order adiabatic approximation method,we obtain higher order corrections for this action.

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[13]	SUN Chang-Pu , ZHANG Lin-Zhi . BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS. Chinese Physics C, 1990, 14(2): 136-144.
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[19]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[20]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.

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Sun Changpu, Pang Lin and Ge Molin. Effective Topological Action in Heisenberg Spin Model as Berry's Phase[J]. Chinese Physics C, 1992, 16(S1): 51-56.

Sun Changpu, Pang Lin and Ge Molin. Effective Topological Action in Heisenberg Spin Model as Berry's Phase[J]. Chinese Physics C, 1992, 16(S1): 51-56. shu

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Received: 1991-03-25

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Supported by the National Natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

Effective Topological Action in Heisenberg Spin Model as Berry's Phase

1 Depanment of Physics, Northeast Normal University, Changchun, Jilin;Nankai Institute of Mathematics, Tianjin, China;
2 Lanzhou College of Railway, Lanzhou, Gansu, China Nankai Institute of Mathematics, Tianjin. China

Received Date: 1991-03-25

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: This paper shows that the topologically additional action appearing in the Heisenberg spin model can be understood as superposition of Berry's phase for the single spins in an average fields of many particles. In the case of low temperature, using the high order adiabatic approximation method,we obtain higher order corrections for this action.