Effective topological action in Heisenberg spin model as Berry's phase

SUN Chang-Pu; PAN Lin; GE Mo-Lin

Chinese Physics C> 1992, Vol. 16> Issue(3) : 202-207

Effective topological action in Heisenberg spin model as Berry's phase

Physics Department Northeast Normal University,Changchun 1300242 Nankai Institute of Mathematics,Tianjin 3000713 Lanzhou College of Railway,Lanzhou 730070

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Abstract：
In this paper it is shown that the topologically additional action appearing in the Heisenberg spin model can be understood as a superposition of Berry's phases 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.

References

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F. D. M. Haldane, Phys. Rev, Lett., 50(1983) 1153; 57(1985), 3359;P. B. Wiegmann, Phys. Rev. Lett., 60(1988), 821,[2] E. Fradkin and M. Stone, Phys, Rev., B38(1988), 7215.I. Affleck, Nucl. Phys., B265(1985), 409.[3] A. Angelucci and G. Jug, Intern, J. Mod. Phys., B3(1989), 1069.[4] M. L. Ge and Y. Niu, J. Phys., A22(1989), L457.葛墨林，牛云，科学通报，34(1989),1131.[5] C. P. Sun, J. Phys., A21(1988), 1595.孙昌璞，高能物理与核物理，12(1988),351;14(1990)，692.C. P. Sun, Phys. Rev., D38(1988), 2908; D41(1990), 1318.[6] G. Busch and H. Schade, Theory of Solid State, (pergnon, 1985).[7] Z. Y. Wu, Phys. Rev., A40(1989), 2184.

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SUN Chang-Pu, PAN Lin and GE Mo-Lin. Effective topological action in Heisenberg spin model as Berry's phase[J]. Chinese Physics C, 1992, 16(3): 202-207.

SUN Chang-Pu, PAN Lin and GE Mo-Lin. Effective topological action in Heisenberg spin model as Berry's phase[J]. Chinese Physics C, 1992, 16(3): 202-207. shu

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Received: 1900-01-01
Revised: 1900-01-01

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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

Corresponding author: SUN Chang-Pu,

Physics Department Northeast Normal University,Changchun 1300242 Nankai Institute of Mathematics,Tianjin 3000713 Lanzhou College of Railway,Lanzhou 730070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-03-05

Abstract: In this paper it is shown that the topologically additional action appearing in the Heisenberg spin model can be understood as a superposition of Berry's phases 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.