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Complete boundary phase diagram of the spin- 1 2 XXZ chain with boundary fields in the antiferromagnetic gapped regime

Parameshwar R. Pasnoori, Yicheng Tang, Junhyun Lee +3 more

Physical review. B./Physical review. BJan 8, 20260 citations

Boundary Quantum Entanglement of the XXZ Spin Chain with Boundary Impurities

Zhuo Wei, Yupeng Wang

The boundary quantum entanglement for the s = 1/2 XXZ spin chain with boundary impurities is studied via the density matrix renormalization group (DMRG) method. It is shown that the entanglement entropy of the boundary bond (the impurity and the chain spin next to it) behaves differently in different phases. The relationship between the singular points of the boundary entropy and boundary quantum critical points is discussed.

Chinese Physics LettersDec 1, 20071 citation

Ground-State and Thermal Entanglement in Three-Spin Heisenberg-XXZ Chain with Three-Spin Interaction

Zhang, Yong, Gui‐Lu Long +1 more

一个三纺纱的 XXZ 海森堡链 withthree 纺纱相互作用的纠纷性质借助于对的同时发生被学习明智。纠纷。我们显示出 thatground 状态对明智的纠纷，对明智的热纠纷，或量阶段转变不是在反的现在铁磁性的旋转链。为铁磁性的盒子，量阶段转变在 1 当 J/T 的价值增加时，明智的热纠纷增加的三纺纱的联合力量，和对并且与各向异性的相互作用和三纺纱的相互作用减少为各向异性的相互作用并且在一些珍视的Δ = 发生。另外，我们发现那增加各向异性的相互作用和三纺纱的相互作用愿望减少批评温度。一个三纺纱的 XXZ 海森堡链 withthree 纺纱相互作用的纠纷性质借助于对的同时发生被学习明智。纠纷。我们显示出 thatground 状态对明智的纠纷，对明智的热纠纷，或量阶段转变不是在反的现在铁磁性的旋转链。为铁磁性的盒子，量阶段转变在 1 当 J/T 的价值增加时，明智的热纠纷增加的三纺纱的联合力量，和对并且与各向异性的相互作用和三纺纱的相互作用减少为各向异性的相互作用并且在一些珍视的Δ = 发生。另外，我们发现那增加各向异性的相互作用和三纺纱的相互作用愿望减少批评温度。

理论物理通讯：英文版Jan 1, 20072 citations

Integrability of the Heisenberg chains with boundary impurities and their Bethe ansatz

Bo-Yu Hou, Kangjie Shi, Rui‐Hong Yue +1 more

We show the integrability of spin-½ XXZ Heisenberg chain with two arbitrary spin boundary impurities. By using the fusion method, we generalize it to the spin-1 XXZ chain. Then the eigenvalues of Hamiltonians of these models are obtained by the means of Bethe ansatz method.

arXiv:cond-mat/9910384Journal of Physics A Mathematical and GeneralOct 21, 19992 citations

Integrable Multi-impurity Open XXZ Chain with Next-Nearest-Neighbor Interaction

Lai Yun-zhong, Ai-zhen Zhang, Zhan-Ning Hu +2 more

The Hamiltonian of one-dimensional integrable multi-impurity XXZ spin chain with open boundary cases is constructed by using the method of adding parameters to the vertical matrices. This is the first approach to add multi-impurity and next-nearest-neighbor interaction to the integrable anisotropic Heisenberg spin chain. It is found that all of the impurity parameters in the bulk must be pure imaginary numbers if the cross parameter is real for getting the hermitian Hamiltonian, or vice versa, when the next-nearest-neighbor interactions are introduced. The Hamiltonian can be also applied to describe the many body systems with two kinds of particles if all of the impurity parameters are equal.The Hamiltonian of one-dimensional integrable multi-impurity XXZ spin chain with open boundary cases is constructed by using the method of adding parameters to the vertical matrices. This is the first approach to add multi-impurity and next-nearest-neighbor interaction to the integrable anisotropic Heisenberg spin chain. It is found that all of the impurity parameters in the bulk must be pure imaginary numbers if the cross parameter is real for getting the hermitian Hamiltonian, or vice versa, when the next-nearest-neighbor interactions are introduced. The Hamiltonian can be also applied to describe the many body systems with two kinds of particles if all of the impurity parameters are equal.

Chinese Physics LettersJun 1, 19990 citations

Entanglement Bounds in the XXZ Quantum Spin Chain

Houssam Abdul‐Rahman, C. Fischbacher, G. Stolz

arXiv:1907.11420Annales Henri PoincaréJun 5, 20207 citations

Boundary Quantum Entanglement of the XXZ Spin Chain with Boundary Impurities

Abstract

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Boundary Quantum Entanglement of the XXZ Spin Chain with Boundary Impurities

Abstract

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