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Related papers: XXZ chain with a boundary

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A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of such boundaries is associated with non-diagonal twist matrices. For such models there are no trivial reference states upon…

High Energy Physics - Theory · Physics 2016-09-06 C. M. Yung , M. T. Batchelor

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…

High Energy Physics - Theory · Physics 2008-11-26 Rajan Murgan , Rafael I. Nepomechie , Chi Shi

We present some open problems in the field of exactly solvable models. Two of the problems are related to the correlation functions of the XXX spin chain and the XXZ spin chain, one to the entropy of subsystems and one to the six vertex…

Statistical Mechanics · Physics 2008-11-26 Vladimir E. Korepin , Ovidiu I. Patu

We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary conditions induce an alternating term in both the energy density and…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Erik S. Sorensen , Ming-Shyang Chang , Ian Affleck

The $N$ site open XXZ quantum spin chain with a right non-diagonal boundary and special diagonal left boundary is considered. The boundary non-local charges originally obtained from a field theoretical viewpoint, for the sine Gordon model…

Mathematical Physics · Physics 2009-11-10 Anastasia Doikou

Exact expressions of the boundary state and the form factors of the Ising model are used to derive differential equations for the one-point functions of the energy and magnetization operators of the model in the presence of a boundary…

High Energy Physics - Theory · Physics 2009-10-28 R. Konik , A. LeClair , G. Mussardo

We consider here XXZ spin chain perturbed by the operator sigma^x (``in transverse field'') which is a lattice regularization of the sine-Gordon model. This can be shown using conformal perturbation theory. We calculated mass ratios of…

High Energy Physics - Theory · Physics 2016-09-06 Silvio Pallua , Predrag Prester

The hamiltonian of an asymmetric diffusion process with injection and ejection of particles at the ends of a chain of finite length is known to be relevant to that of the spin-1/2 XXZ chain with integrable boundary terms. However, the…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor

The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki

The $XXZ$ model $(s = 1/2)$ in a transverse field on a double chain with a uniform long-range interaction among the $z$ components of the spins is considered. The nearest-neighbour interactions are restricted to the components in the $xy$…

Statistical Mechanics · Physics 2015-06-25 J. P. de Lima , L. L. Goncalves

The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading…

Strongly Correlated Electrons · Physics 2009-11-07 A. Foerster , M. D. Gould , X. -W. Guan , I. Roditi , H. -Q Zhou

In this letter I consider mainly a finite XXZ spin chain with periodic boundary conditions and \bf{odd} \rm number of sites. This system is described by the Hamiltonian $H_{xxz}=-\sum_{j=1}^{N}\{\sigma_j^{x}\sigma_{j+1}^{x}…

Statistical Mechanics · Physics 2009-10-31 Yu. Stroganov

The thermodynamic properties of the XXZ spin chain with integrable open boundary conditions at the gaped region (i.e., the anisotropic parameter $\eta$ being a real number) are investigated.It is shown that the contribution of the…

Strongly Correlated Electrons · Physics 2019-08-16 Pei Sun , Zhi-Rong Xin , Yi Qiao , Kun Hao , Like Cao , Junpeng Cao , Tao Yang , Wen-Li Yang

The relativistic spin-0 matter field is quantized in the background of a straight cosmic string with nonvanishing transverse size. The most general boundary condition ensuring the impenetrability of the matter field into the interior of the…

High Energy Physics - Theory · Physics 2022-11-18 Yurii A. Sitenko , Volodymyr M. Gorkavenko , Maria S. Tsarenkova

We consider the spin-1/2 Heisenberg chain with alternating spin exchange %on even and odd sites in the presence of additional modulation of exchange on odd bonds with period three. We study the ground state magnetic phase diagram of this…

Strongly Correlated Electrons · Physics 2015-05-30 M. Shahri Naseri , G. I. Japaridze , S. Mahdavifar , S. Farjami Shayesteh

We consider the open XYZ spin chain with boundary fields. We solve the model by the new Separation of Variables approach introduced in arXiv:1904.00852. In this framework, the transfer matrix eigenstates are obtained as a particular…

Mathematical Physics · Physics 2025-10-15 G. Niccoli , V. Terras

We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-1/2 XXZ model under a magnetic field. These data are…

Strongly Correlated Electrons · Physics 2009-11-10 T. Hikihara , A. Furusaki

We consider a system realized with one spinless quantum particle and an array of $N$ spins 1/2 in dimension one and three. We characterize all the Hamiltonians obtained as point perturbations of an assigned free dynamics in terms of some…

Mathematical Physics · Physics 2007-05-23 Claudio Cacciapuoti , Raffaele Carlone , Rodolfo Figari

In this paper we compute the overlaps of the ground states for the open spin chains after a change of one of the boundary magnetic fields. It can be considered as the first step toward the study of the boundary quench problem: behaviour of…

Mathematical Physics · Physics 2025-01-22 Charbel Abetian , Nikolai Kitanine , Veronique Terras
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