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

Abstract
HTML
Reference
Related

PDF

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

[1]

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.

[1]	TIAN Dong-Ping , HU Ming-Liang . Dynamics of Multipartite Entanglement in the Heisenberg Model. Chinese Physics C, 2007, 31(5): 509-512.
[2]	HU Ming-Liang , TIAN Dong-Ping . Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain. Chinese Physics C, 2006, 30(11): 1132-1136.
[3]	Zhang Zhongcan , Fang Zhenyun , Hu Chenguo , Sun Shijun . The Extention of Berry's Theory on Geometric Phase. Chinese Physics C, 1999, 23(10): 980-991.
[4]	Ren Xuezao , Zhu Yunlun , Chen Ying . Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[5]	Meng Jie , Zeng Jinyan , Zhao Enguang . Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[6]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[7]	SU Gang , NIU Yun . THE CANONICAL TRANSFORMATION AND THE SPIN WAVE IN TWO DIMENSIONAL HEISENBERG ANTIFER-ROMAGNETIC SYSTEM. Chinese Physics C, 1990, 14(6): 500-503.
[8]	SUN Chang-Pu . HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE. Chinese Physics C, 1990, 14(7): 604-613.
[9]	GAO Xiao-Chun , XU Jing-Bo , QIAN Tie-Zheng , CHEN Cheng-Ming . THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE. Chinese Physics C, 1990, 14(8): 704-710.
[10]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[11]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[12]	WU Ji-Min . ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE. Chinese Physics C, 1989, 13(9): 789-795.
[13]	LI Wen-Zhu , ZHANG Jian-Bo . VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1988, 12(5): 608-615.
[14]	SUN Chang-Pu . QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.
[15]	GAO Hong-Bo , SUN Yi . THE LOCALLY PRODUCT STRUCTURE OF INTERNAL SPACE AND SOME OF THE PROPERTIES IN HETEROTIC STRING ACTION. Chinese Physics C, 1987, 11(5): 614-619.
[16]	LI Wen-Zhu , ZHANG Jian-Bo , DONG Shao-Jing . MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION. Chinese Physics C, 1987, 11(4): 462-468.
[17]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[19]	ZHOU Guang-Zhao , GUO Han-Ying , WU Ke , SONG Xing-Chang . ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION. Chinese Physics C, 1984, 8(2): 252-256.
[20]	Yang Ze-sen . THE ADIABATIC-BORN APPROXIMATION OF THE OPTICAL MODEL FOR DEFORMED NUCLEI. Chinese Physics C, 1980, 4(6): 778-783.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3341)
PDF Downloads(466)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.