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相关论文: Root patterns and exact surface energy of the spin…

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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

The string hypothesis of Bethe roots is a cornerstone in the thermodynamic analysis of quantum integrable systems, since it connects root configurations with physical quantities such as the ground-state energy, surface energy and excitation…

数学物理 · 物理学 2026-05-29 Zhouzheng Ji , Pei Sun , Xiaotian Xu , Yi Qiao , Junpeng Cao , Wen-Li Yang

In this study, we explore the precise physical quantities in the thermodynamic limit of the one-dimensional Hubbard model with nonparallel boundary magnetic fields based on the off-diagonal Bethe ansatz solution. A particular emphasis is…

数学物理 · 物理学 2024-08-13 Pei Sun , Yi Qiao , Tao Yang , Junpeng Cao , Wen-Li Yang

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

Recently, the XXX spin chain with arbitrary boundary fields was successfully solved [1] via the off-diagonal Bethe ansatz method [2]. The correctness and the completeness of this solution were numerically verified by Nepomechie for one…

统计力学 · 物理学 2013-09-26 Yuzhu Jiang , Shuai Cui , Junpeng Cao , Wen-Li Yang , Yupeng Wang

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

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

In this paper, we study the surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary magnetic fields, which is a typical $U(1)$-symmetry broken quantum integrable strongly correlated electron system. It is…

数学物理 · 物理学 2022-06-07 Pei Sun , Yang-Yang Chen , Tao Yang , Junpeng Cao , Wen-Li Yang

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

The exact solution of the $D^{(1)}_2$ quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantities of the system can be factorized as the product of…

数学物理 · 物理学 2022-09-07 Guang-Liang Li , Yi Qiao , 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

Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without $U(1)$ symmetry, their spectra are usually given by inhomogeneous $T-Q$…

数学物理 · 物理学 2021-11-12 Xiong Le , Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear…

高能物理 - 理论 · 物理学 2007-05-23 H. J. de Vega

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

We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional equations obtained by separation of…

统计力学 · 物理学 2011-03-07 Holger Frahm , Jan H. Grelik , Alexander Seel , Tobias Wirth

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 analyze the ground state of the open spin-1/2 isotropic quantum spin chain with a non-diagonal boundary term using a recently proposed Bethe ansatz solution. As the coefficient of the non-diagonal boundary term tends to zero, the Bethe…

数学物理 · 物理学 2015-06-17 Rafael I. Nepomechie , Chunguang Wang

We present a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisemberg chain we derive, for arbitrary values of the anysotropy, a {\bf single}…

高能物理 - 理论 · 物理学 2008-02-03 C. Destri , H. J. de Vega

The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s isotropic Heisenberg chain model with generic integrable boundaries as an example. With the…

统计力学 · 物理学 2015-06-19 Junpeng Cao , Shuai Cui , Wen-Li Yang , Kangjie Shi , Yupeng Wang

The exact solution of an integrable anisotropic Heisenberg spin chain with nearest-neighbour, next-nearest-neighbour and scalar chirality couplings is studied, where the boundary condition is the antiperiodic one. The detailed construction…

数学物理 · 物理学 2020-06-03 Yi Qiao , Jian Wang , Junpeng Cao , Wen-Li Yang
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