Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction

doi:10.1088/1674-1056/24/10/107502

	Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction
	Yang Li-Jun 1; Cao Jun-Peng 1,2; Yang Wen-Li 3,4
刊名	CHINESE PHYSICS B
	2015-10-01
卷号	24 页码:7
关键词	Bethe ansatz Yang-Baxter equation T-Q relation
ISSN号	1674-1056
DOI	10.1088/1674-1056/24/10/107502
英文摘要	We propose an integrable spin-1/2 Heisenberg model where the exchange couplings and Dzyloshinky-Moriya interactions are dependent on the sites. By employing the quantum inverse scattering method, we obtain the eigenvalues and the Bethe ansatz equation of the system with the periodic boundary condition. Furthermore, we obtain the exact solution and study the boundary effect of the system with the anti-periodic boundary condition via the off-diagonal Bethe ansatz. The operator identities of the transfer matrix at the inhomogeneous points are proved at the operator level. We construct the T-Q relation based on them. From which, we obtain the energy spectrum of the system. The corresponding eigenstates are also constructed. We find an interesting coherence state that is induced by the topological boundary.
资助项目	National Natural Science Foundation of China[11174335] ; National Natural Science Foundation of China[11375141] ; National Natural Science Foundation of China[11374334] ; National Natural Science Foundation of China[11434013] ; National Program for Basic Research of China ; Chinese Academy of Sciences
WOS关键词	ANISOTROPIC SUPEREXCHANGE INTERACTION ; DELTA-FUNCTION INTERACTION ; BETHE-ANSATZ ; BODY PROBLEM ; QUANTUM ; SYSTEMS ; CHAIN ; XXZ
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000363327400073
资助机构	National Natural Science Foundation of China ; National Program for Basic Research of China ; Chinese Academy of Sciences
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/46907]
专题	中国科学院近代物理研究所
通讯作者	Yang Li-Jun
作者单位	1.Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Inst Phys, Beijing 100190, Peoples R China 2.Collaborat Innovat Ctr Quantum Matter, Beijing, Peoples R China 3.Northwest Univ, Inst Modern Phys, Xian 710069, Peoples R China 4.Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Yang Li-Jun,Cao Jun-Peng,Yang Wen-Li. Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction[J]. CHINESE PHYSICS B,2015,24:7.
APA	Yang Li-Jun,Cao Jun-Peng,&Yang Wen-Li.(2015).Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction.CHINESE PHYSICS B,24,7.
MLA	Yang Li-Jun,et al."Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction".CHINESE PHYSICS B 24(2015):7.