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相关论文: Surface energy and elementary excitations of the X…

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We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the $U(1)$-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy…

数学物理 · 物理学 2024-10-16 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

An analytic method is proposed to compute the surface energy and elementary excitations of the XXZ spin chain with generic non-diagonal boundary fields. For the gapped case, in some boundary parameter regimes the contributions of the two…

统计力学 · 物理学 2021-07-01 Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We investigate the thermodynamic limit of the inhomogeneous T-Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term at the ground state can be…

数学物理 · 物理学 2018-10-18 Zhirong Xin , Yi Qiao , Kun Hao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study the thermodynamic limit of the antiperiodic XXZ spin chain with the anisotropic parameter $\eta=\frac{\pi i}{3}$. We parameterize eigenvalues of the transfer matrix by their zero points instead of Bethe roots. We obtain patterns of…

数学物理 · 物理学 2021-12-15 Pei Sun , Jintao Yang , Yi Qiao , Junpeng Cao , Wen-Li Yang

Bethe Ansatz solutions of the open spin-1/2 integrable XXZ quantum spin chain at roots of unity with nondiagonal boundary terms containing two free boundary parameters have recently been proposed. We use these solutions to compute the…

高能物理 - 理论 · 物理学 2008-11-26 Rajan Murgan , Rafael I. Nepomechie , Chi Shi

We study boundary bound states using the Bethe ansatz formalism for the finite $XXZ$ $(\Delta>1)$ chain in a boundary magnetic field $h$. Boundary bound states are represented by the ``boundary strings'' similar to those described in the…

高能物理 - 理论 · 物理学 2008-11-26 S. Skorik , A. Kapustin

The exact elementary excitations in a typical U(1) symmetry broken quantum integrable system, that is the twisted J1-J2 spin chain with nearest-neighbor, next nearest neighbor and chiral three spin interactions, are studied. The main…

数学物理 · 物理学 2023-03-13 Wei Wang , Yi Qiao , Rong-Hua Liu , Wu-Ming Liu , Junpeng Cao

We investigate the thermodynamic limit of the one-dimensional ferromagnetic XXZ model with twisted (or antiperiodic ) boundary condition. It is shown that the distribution of the Bethe roots of the inhomogeneous Bethe Ansatz equations…

数学物理 · 物理学 2018-10-30 Yi Qiao , Zhirong Xin , Kun Hao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We investigate the thermodynamic limit of the su(n)-invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T-Q relation to the ground state energy does…

数学物理 · 物理学 2017-01-04 Fakai Wen , Tao Yang , Zhanying Yang , Junpeng Cao , Kun Hao , Wen-Li Yang

Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin-$\frac{1}{2}$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of…

数学物理 · 物理学 2020-12-24 Zhirong Xin , Yusong Cao , Xiaotian Xu , Tao Yang , Junpeng Cao , Wen-Li Yang

The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the $T-Q$ relation and by the zeros of the associated…

数学物理 · 物理学 2025-02-19 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the $ T-Q $ relation at the ground state are…

高能物理 - 理论 · 物理学 2022-03-07 Zhihan Zheng , Pei Sun , Xiaotian Xu , Tao Yang , Junpeng Cao , Wen-Li Yang

In two previous papers [26, 27], the exact solutions of the spin-1/2 chains with arbitrary boundary fields were constructed via the off-diagonal Bethe ansatz (ODBA). Here we introduce a method to approach the thermodynamic limit of those…

统计力学 · 物理学 2015-06-18 Yuan-Yuan Li , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

A novel Bethe ansatz scheme is proposed to investigate the exact physical properties of an integrable anisotropic quantum spin chain with competing interactions among the nearest, next nearest neighbor and chiral three spin couplings, where…

数学物理 · 物理学 2022-02-09 Wei Wang , Yi Qiao , Junpeng Cao , Wu-Ming Liu , Rong-Hua Liu

We review recent results on the Bethe Ansatz solutions for the eigenvalues of the transfer matrix of an integrable open XXZ quantum spin chain using functional relations which the transfer matrix obeys at roots of unity. First, we consider…

高能物理 - 理论 · 物理学 2008-11-26 Rajan Murgan

A novel Bethe Ansatz scheme is proposed to calculate physical properties of quantum integrable systems without $U(1)$ symmetry. As an example, the anti-periodic XXZ spin chain, a typical correlated many-body system embedded in a topological…

数学物理 · 物理学 2020-09-29 Yi Qiao , Pei Sun , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

The surface free energy is the difference between the free energies for a system with open boundary conditions and the same system with periodic boundary conditions. We use the quantum transfer matrix formalism to express the surface free…

统计力学 · 物理学 2015-06-25 Frank Göhmann , Michael Bortz , Holger Frahm

We have recently proposed a Bethe Ansatz solution of the open spin-1/2 XXZ quantum spin chain with general integrable boundary terms (containing six free boundary parameters) at roots of unity. We use this solution, together with an…

高能物理 - 理论 · 物理学 2010-10-27 Rajan Murgan , Rafael I. Nepomechie , Chi Shi

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for $U_q(sl(2))$ symmetry of the Hamiltonian.…

可精确求解与可积系统 · 物理学 2015-06-26 V. Fridkin , Yu. Stroganov , D. Zagier

The quantum periodic XXZ chain with alternating spins is studied. The properties of the related R-matrix and Hamiltonians are discussed. A compact expression for the ground state energy is obtained. The corresponding conformal anomaly is…

高能物理 - 理论 · 物理学 2008-11-26 Andrei Bytsko , Anastasia Doikou
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