各向异性海森伯自旋链中的高阶孤子

谢元栋

doi:10.7498/aps.65.207501

摘要

在Holstain-Primakoff表象中研究了各向异性海森伯自旋链模型.在半经典近似条件下，应用相干态求出了明孤子和暗孤子的精确解析解.结果表明：这些解可以用第一类和第三类椭圆积分来表示.内容丰富的暗孤子解是本论文的创新之处.

关键词:

An anisotropic Heisenberg ferromagnetic spin chain model is studied by using Holstain-Primakoff representation. In the semiclassical limit, the exact solutions for bright and dark solitons are found by using the coherent-state method combined with the Holstein-Primakoff bosonic representation of spin operators. These results show that the solutions can be expressed in terms of the elliptic integrals in different parameter regions. Some solutions for dark solitons are the innovation points in this paper.

Keywords:

作者及机构信息

谢元栋^1,2

1.
华南师范大学物理与电信工程学院, 广州 510006;

2.
华南师范大学物理与电信工程学院, 广东省量子工程与量子材料重点实验室, 广州 510006

通信作者: 谢元栋, xieyd@scnu.edu.cn

基金项目: 国家自然科学基金（批准号：11274124）资助的课题.

Authors and contacts

Xie Yuan-Dong^1,2

1.
School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China;

2.
Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China

Corresponding author: Xie Yuan-Dong, xieyd@scnu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274124).

参考文献

[1]	Nakamura K, Sasada T 1974 Phys. Lett. 48 A321
[2]	Lakshmanan M 1977 Phys. Lett. A 61 53
[3]	Pushkarov D I, Pushkarov K I 1977 Phys. Lett. A 61 339
[4]	Jauslin H R, Schneider T 1982 Phys. Rev. B 26 5153
[5]	Mead L R, Papanicolaoy N 1983 Phys. Rev. B 28 1633
[6]	Borsa F, Pini M G, Rettori A, Tognetti V 1983 Phys. Rev. B 28 5173
[7]	Kopinga K, Tinus A M C, De Jonge W J M 1984 Phys. Rev. B 29 2868
[8]	Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 12 2243
[9]	Mikeska H J, Steiner M 1991 Adv. Phys. 40 191
[10]	Daniel M, Kavitha L 2002 Phys.Rev. B 66 184433
[11]	Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 20 2243-
[12]	Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[13]	Glauber R J 1963 Phys.Rev. 131 2766
[14]	Tsoy E N 2010 Phys.Rev. A 82 063829
[15]	Ablowitz M J, Clarkson P A 1991 Soliton, Nonlinear Evolution Equations Scattering (New York:Cambridge University Press) pp98-172
[16]	Xie Y D 2012 Acta Phys. Sin. 61 210305 (in Chinese)[谢元栋2012物理学报61 210305]
[17]	Greenhill A G 1959 The Applications of Elliptic Functions (New York:Dover Pub.) pp10-34
[18]	Byrd P F, Friedman M D 1954 Handbook of Elliptic Intergrals for Engineers and Physicists (Berlin:Springer Verlag) pp904-910

施引文献

[1]	Nakamura K, Sasada T 1974 Phys. Lett. 48 A321
[2]	Lakshmanan M 1977 Phys. Lett. A 61 53
[3]	Pushkarov D I, Pushkarov K I 1977 Phys. Lett. A 61 339
[4]	Jauslin H R, Schneider T 1982 Phys. Rev. B 26 5153
[5]	Mead L R, Papanicolaoy N 1983 Phys. Rev. B 28 1633
[6]	Borsa F, Pini M G, Rettori A, Tognetti V 1983 Phys. Rev. B 28 5173
[7]	Kopinga K, Tinus A M C, De Jonge W J M 1984 Phys. Rev. B 29 2868
[8]	Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 12 2243
[9]	Mikeska H J, Steiner M 1991 Adv. Phys. 40 191
[10]	Daniel M, Kavitha L 2002 Phys.Rev. B 66 184433
[11]	Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 20 2243-
[12]	Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[13]	Glauber R J 1963 Phys.Rev. 131 2766
[14]	Tsoy E N 2010 Phys.Rev. A 82 063829
[15]	Ablowitz M J, Clarkson P A 1991 Soliton, Nonlinear Evolution Equations Scattering (New York:Cambridge University Press) pp98-172
[16]	Xie Y D 2012 Acta Phys. Sin. 61 210305 (in Chinese)[谢元栋2012物理学报61 210305]
[17]	Greenhill A G 1959 The Applications of Elliptic Functions (New York:Dover Pub.) pp10-34
[18]	Byrd P F, Friedman M D 1954 Handbook of Elliptic Intergrals for Engineers and Physicists (Berlin:Springer Verlag) pp904-910

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