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相关论文: The open XXZ-chain: Bosonisation, Bethe ansatz and…

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In the first part we calculate the boundary susceptibility $\chi_B$ in the open $XXZ$-chain at zero temperature and arbitrary magnetic field $h$ by Bethe ansatz. We present analytical results for the leading terms when $|h|\ll \alpha$,…

强关联电子 · 物理学 2007-05-23 Michael Bortz , Jesko Sirker

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

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

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

A Bethe Ansatz solution of the open spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms has recently been proposed. Using a numerical procedure developed by McCoy et al., we find significant evidence that this solution can yield…

高能物理 - 理论 · 物理学 2008-11-26 Rafael I. Nepomechie , Francesco Ravanini

Exact low-temperature asymptotic behavior of boundary contribution to specific heat and susceptibility in the one-dimensional spin-1/2 XXZ model with exchange anisotropy 1/2 < \Delta \le 1 is analytically obtained using the Abelian…

强关联电子 · 物理学 2007-05-23 A. Furusaki , T. Hikihara

We derive an exact formula for the boundary free energy of the open Heisenberg XXZ spin chain. We allow for arbitrary boundary magnetic fields, but assume zero bulk magnetization. The result is completely analogous to earlier formulas for…

统计力学 · 物理学 2018-12-05 B. Pozsgay , O. Rákos

We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we propose the Bethe ansatz solution for the transfer matrix eigenvalues for cases where…

高能物理 - 理论 · 物理学 2009-11-19 Rajan Murgan

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 transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe Ansatz solution for the transfer matrix…

高能物理 - 理论 · 物理学 2011-02-16 Rajan Murgan , Rafael I. Nepomechie

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We…

数学物理 · 物理学 2010-04-08 Luc Frappat , Rafael Nepomechie , Eric Ragoucy

We compute by means of the Bethe Ansatz the boundary S matrix for the open anisotropic spin-1/2 chain with diagonal boundary magnetic fields in the noncritical regime (Delta > 1). Our result, which is formulated in terms of q-gamma…

高能物理 - 理论 · 物理学 2008-11-26 Anastasia Doikou , Luca Mezincescu , Rafael I. Nepomechie

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

凝聚态物理 · 物理学 2009-10-22 Andreas Klümper

We propose a Bethe-Ansatz-type solution of the open spin-1/2 integrable XXZ quantum spin chain with general integrable boundary terms and bulk anisotropy values i \pi/(p+1), where p is a positive integer. All six boundary parameters are…

高能物理 - 理论 · 物理学 2011-02-16 Rajan Murgan , Rafael I. Nepomechie , Chi Shi

The free energy per lattice site of a quantum spin chain in the thermodynamic limit is determined by a single `dominant' Eigenvalue of an associated quantum transfer matrix in the infinite Trotter number limit. For integrable quantum spin…

数学物理 · 物理学 2025-12-16 Saskia Faulmann , Frank Göhmann , Karol K. Kozlowski

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

We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we derive a generalized form of T-Q relation involving more than one independent Q(u), which…

数学物理 · 物理学 2015-06-05 Rashad Baiyasi , Rajan Murgan

We present a study of the Drude weight $D(T)$ of the spin-1/2 $XXZ$ chain in the gapless regime. The thermodynamic Bethe ansatz (TBA) is applied in two different ways. In the first application we employ the particle basis of magnons and…

强关联电子 · 物理学 2015-06-25 J. Benz , T. Fukui , A. Klümper , C. Scheeren

We compute the boundary energy and the Casimir energy for both the spin-1/2 XXZ quantum spin chain and (by means of the light-cone lattice construction) the massive sine-Gordon model with both left and right boundaries. We also derive a…

高能物理 - 理论 · 物理学 2015-06-26 Changrim Ahn , Rafael I. Nepomechie
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