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An open supersymmetric t-J chain with boundary fields is studied by means of the Bethe Ansatz. Ground state properties for the case of an almost half-filled band and a bulk magnetic field are determined. Boundary susceptibilities are…

Condensed Matter · Physics 2016-08-31 Fabian H. L. Essler

The antiferromagnetic Heisenberg spin chain with N spins has a sector with N=odd, in which the number of excitations is odd. In particular, there is a state with a single one-particle excitation. We exploit this fact to give a simplified…

High Energy Physics - Theory · Physics 2011-07-19 Anastasia Doikou , Luca Mezincescu , Rafael I. Nepomechie

Using a recently proposed solution for an open antiferromagnetic spin-1/2 XXZ quantum spin chain with N (even) spins and two arbitrary boundary parameters at roots of unity, we compute the boundary scattering amplitudes for one-hole states.…

High Energy Physics - Theory · Physics 2008-11-26 Rajan Murgan

We consider both closed and open integrable antiferromagnetic chains constructed with the SU(N)-invariant R matrix. For the closed chain, we extend the analyses of Sutherland and Kulish-Reshetikhin by considering also complex ``string''…

High Energy Physics - Theory · Physics 2009-10-31 Anastasia Doikou , Rafael I. Nepomechie

We calculate the boundary $S$ matrix for the open antiferromagnetic spin $1/2$ isotropic Heisenberg chain with boundary magnetic fields. Our approach, which starts from the model's Bethe Ansatz solution, is an extension of the…

High Energy Physics - Theory · Physics 2009-10-28 M. T. Grisaru , Luca Mezincescu , Rafael I. Nepomechie

We develop a boundary field theory approach to electron spin resonance in open $S=1/2$ Heisenberg antiferromagnetic chains with an effective staggered field. In terms of the sine Gordon effective field theory with boundaries,we point out…

Strongly Correlated Electrons · Physics 2012-12-11 Shunsuke C. Furuya , Masaki Oshikawa

The integrable XXX spin s quantum chain and the alternating $s^{1}$, $s^{2}$ ($s^{1}-s^{2}={1\over 2}$) chain with boundaries are considered. The scattering of their excitations with the boundaries via the Bethe ansatz method is studied,…

High Energy Physics - Theory · Physics 2014-11-18 Anastasia Doikou

We begin with a review of the antiferromagnetic spin 1/2 Heisenberg chain. In particular, we show that the model has particle-like excitations with spin 1/2, and we compute the exact bulk S matrix. We then review our recent work which…

High Energy Physics - Theory · Physics 2016-09-06 Luca Mezincescu , Rafael I. Nepomechie

The Bethe ansatz equations of the 1-D Hubbard model under open boundary conditions are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model with open boundaries. Through the finite-size correction, we…

Strongly Correlated Electrons · Physics 2008-02-03 Tetsuo Deguchi , Ruihong Yue

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…

High Energy Physics - Theory · Physics 2015-12-18 Andrea Prinsloo , Vidas Regelskis , Alessandro Torrielli

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…

High Energy Physics - Theory · Physics 2008-11-26 Anastasia Doikou , Luca Mezincescu , Rafael I. Nepomechie

The boundary effects in the open Hubbard chain with boundary fields are studied. The boundary string solutions of the Bethe ansatz equations that give rise to a wave functions localized at the boundary and exponentially decreasing away from…

Strongly Correlated Electrons · Physics 2009-10-30 Osamu Tsuchiya , Takashi Yamamoto

A strongly correlated electron system associated with the quantum superalgebra ${U}_q[{osp}(2|2)]$ is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of…

Strongly Correlated Electrons · Physics 2016-08-16 X. -W. Guan , A. Foerster , U. Grimm , R. A. Römer , M. Schreiber

We study the boundary S-matrix for the reflection of bound states of the two-dimensional sine-Gordon integrable field theory in the presence of a boundary.

High Energy Physics - Theory · Physics 2010-01-07 Subir Ghoshal

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…

Condensed Matter · Physics 2009-10-30 Gerald Bedürftig , Holger Frahm

We construct an extended Hubbard model with open boundaries from a $R$-matrix based on the $U_q[Osp(2|2)]$ superalgebra. We study the reflection equation and find two classes of diagonal solutions. The corresponding one-dimensional open…

solv-int · Physics 2009-10-31 M. J. Martins , X. W. Guan

We extend Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT. Using the graded version of the S-matrices leads to a transfer matrix of particularly simple form. We also…

High Energy Physics - Theory · Physics 2014-11-18 Rajan Murgan , Rafael I. Nepomechie

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…

Mathematical Physics · Physics 2017-01-04 Fakai Wen , Tao Yang , Zhanying Yang , Junpeng Cao , Kun Hao , Wen-Li Yang

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…

Statistical Mechanics · Physics 2021-07-01 Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study open boundary conditions for the $D^{(2)}_3$ spin chain, which shares connections with the six-vertex model, under staggering, and also to the antiferromagnetic Potts model. By formulating a suitable transfer matrix that is related…

Statistical Mechanics · Physics 2025-09-09 Pete Rigas
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