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The ground state and thermodynamic properties of spin-1 and spin-3/2 chains are investigated via exactly solved su(3) and su(4) models with physically motivated chemical potential terms. The analysis involves the Thermodynamic Bethe Ansatz…

统计力学 · 物理学 2011-02-16 M. T. Batchelor , X. -W. Guan , N. Oelkers , A. Foerster

We determine the eigenvalues of the transfer matrices for integrable open quantum spin chains which are associated with the affine Lie algebras $A^{(2)}_{2n-1}, B^{(1)}_n, C^{(1)}_n, D^{(1)}_n$, and which have the quantum-algebra invariance…

高能物理 - 理论 · 物理学 2009-10-28 Simone Artz , Luca Mezincescu , Rafael I. Nepomechie

We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x…

高能物理 - 理论 · 物理学 2015-12-18 Andrea Prinsloo , Vidas Regelskis , Alessandro Torrielli

It is shown that the transfer matrices of homogeneous sl(2) invariant spin chains with generic spin, both closed and open, are factorized into the product of two operators. The latter satisfy the Baxter equation that follows from the…

可精确求解与可积系统 · 物理学 2009-11-11 S. E. Derkachov , A. N. Manashov

With the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the $XXX$ spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer…

数学物理 · 物理学 2015-06-16 Junpeng Cao , Wenli Yang , Kangjie Shi , Yupeng Wang

The open spin $s$ XXZ model with non-diagonal boundaries is considered. Within the algebraic Bethe ansatz framework and in the spirit of earlier works we derive suitable reference states. The derivation of the reference state is the crucial…

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

We use the Bethe Ansatz solution for the one dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials one…

凝聚态物理 · 物理学 2009-10-30 Gerald Bedürftig , Holger Frahm

The Bethe ansatz equations of the fundamental Sp(2N) integrable model are solved by a peculiar configuration of roots leading us to determine the nature of the excitations. They consist of N elementary generalized spinons and N-1 composite…

统计力学 · 物理学 2016-08-31 M. J. Martins

We consider open XXX spins chain with two general boundary matrices submitted to one constraint, which is equivalent to the possibility to put the two matrices in a triangular form. We construct Bethe vectors from a generalized algebraic…

数学物理 · 物理学 2015-06-11 S. Belliard , N. Crampe , E. Ragoucy

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

We present a general method of folding an integrable spin chain, defined on a line, to obtain an integrable open spin chain, defined on a half-line. We illustrate our method through two fundamental models with sl(2) Lie algebra symmetry:…

数学物理 · 物理学 2017-03-06 Alejandro De La Rosa Gomez , Niall MacKay , Vidas Regelskis

We calculate the scalar product of Bethe states of the XXZ spin-$\frac{1}{2}$ chain with general integrable boundary conditions. The off-shell equations satisfied by the transfer matrix and the off-shell Bethe vectors allow one to derive a…

数学物理 · 物理学 2021-09-01 Samuel Belliard , Rodrigo A. Pimenta , Nikita A. Slavnov

We investigate the physical properties of $G_2$-symmetric integrable chains with local degrees of freedom in the fundamental representation; given the typical connection between integrability and critical points, we test the model's…

强关联电子 · 物理学 2023-10-18 Chengshu Li , Victor L. Quito , Dirk Schuricht , Pedro L. S. Lopes

We develop the technique of Thermodynamic Bethe Ansatz to investigate the ground state and the spectrum in the thermodynamic limit of the staggered $XXZ$ models proposed recently as an example of integrable ladder model. This model appeared…

高能物理 - 理论 · 物理学 2007-05-23 V. V. Mkhitaryan , A. G. Sedrakyan

The second reference state of the open XXZ spin chain with non-diagonal boundary terms is studied. The associated Bethe states exactly yield the second set of eigenvalues proposed recently by functional Bethe Ansatz. In the quasi-classical…

高能物理 - 理论 · 物理学 2010-10-27 Wen-Li Yang , Yao-Zhong Zhang

An integrable quantum spin ladder based on the SU(4) symmetry algebra with boundary defects is studied in the framework of boundary integrability. Five nontrivial solutions of the reflection equations lead to different boundary impurities.…

统计力学 · 物理学 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , A. P. Tonel , H. -Q. Zhou

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 finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with toroidal boundary conditions and an even number of sites provide a projection mechanism yielding the spectra of models with a central charge c<1 including the unitary…

高能物理 - 理论 · 物理学 2015-06-26 Uwe Grimm , Gunter M. Schuetz

We introduce a Hamiltonian for two interacting $su(2)$ spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin…

可精确求解与可积系统 · 物理学 2013-12-03 Eduardo Mattei , Jon Links

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