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

• 作者: 曹俊鹏 杨丽君 杨文力
• 来源期刊: 中国物理B（英文版）
• 关键词: Bethe ansatz Yang-Baxter equation T-Q relation
• 年，卷（期）: 2015,（10）
• 页码范围: 107502-1-107502-7
• 页数: 1页
• 语种: 英文
• DOI: 10.1088/1674-1056/24/10/107502

摘要

We propose an integrable spin-1/2 Heisenberg model where the exchange couplings and Dzyloshinky–Moriya inter-actions 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.