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

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

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 107502-107502.doi: 10.1088/1674-1056/24/10/107502

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

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

杨丽君^a, 曹俊鹏^{a b}, 杨文力^{c d}

a Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b Collaborative Innovation Center of Quantum Matter, Beijing, China;
c Institute of Modern Physics, Northwest University, Xian 710069, China;
d Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China

收稿日期:2015-06-08 修回日期:2015-07-08 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174335, 11375141, 11374334, and 11434013) and the National Program for Basic Research of China and the Fund from the Chinese Academy of Sciences.

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

Yang Li-Jun (杨丽君)^a, Cao Jun-Peng (曹俊鹏)^{a b}, Yang Wen-Li (杨文力)^{c d}

a Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b Collaborative Innovation Center of Quantum Matter, Beijing, China;
c Institute of Modern Physics, Northwest University, Xian 710069, China;
d Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China

Received:2015-06-08 Revised:2015-07-08 Online:2015-10-05 Published:2015-10-05
Contact: Yang Li-Jun E-mail:chortley@iphy.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174335, 11375141, 11374334, and 11434013) and the National Program for Basic Research of China and the Fund from the Chinese Academy of Sciences.

摘要/Abstract

摘要：

We propose an integrable spin-1/2Heisenberg 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.

关键词: Bethe ansatz, Yang-Baxter equation, T-Q relation

Abstract:

Key words: Bethe ansatz, Yang-Baxter equation, T-Q relation

中图分类号: (Spin chain models)

75.10.Pq

03.65.Vf (Phases: geometric; dynamic or topological) 71.10.Pm (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))

杨丽君, 曹俊鹏, 杨文力. Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction[J]. 中国物理B, 2015, 24(10): 107502-107502.

Yang Li-Jun (杨丽君), Cao Jun-Peng (曹俊鹏), Yang Wen-Li (杨文力). Exact solution of Heisenberg model with site-dependent exchange couplings and Dzyloshinsky-Moriya interaction[J]. Chin. Phys. B, 2015, 24(10): 107502-107502.

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

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

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