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We have considered the Zamolodchikov-Fateev and the Izergin-Korepin models with diagonal reflection boundaries. In each case the eigenspectrum of the transfer matrix is determined by application of the algebraic Bethe Ansatz.

Exactly Solvable and Integrable Systems · Physics 2010-04-07 V. Kurak , A. Lima-Santos

We investigate the thermodynamic limit of the exact solution, which is given by an inhomogeneous $T-Q$ relation, of the one-dimensional supersymmetric $t-J$ model with unparallel boundary magnetic fields. It is shown that the contribution…

Mathematical Physics · Physics 2018-10-16 Fakai Wen , Junpeng Cao , Tao Yang , Kun Hao , Zhan-Ying Yang , Wen-Li Yang

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Skorik

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

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…

Statistical Mechanics · Physics 2016-08-31 M. J. Martins

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.…

Statistical Mechanics · Physics 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , A. P. Tonel , H. -Q. Zhou

We study the integrable two-species asymmetric simple exclusion process (ASEP) for two inequivalent types of open, non particle conserving boundary conditions. Employing the nested off-diagonal Bethe ansatz method, we construct for each…

Mathematical Physics · Physics 2019-05-07 Xin Zhang , Fakai Wen , Jan de Gier

We investigate the free-Fermion point of a boundary sine-Gordon model with nondiagonal boundary interactions for the ground state using auxiliary functions, obtained from T-Q equations of a corresponding inhomogeneous open spin-1/2 XXZ…

High Energy Physics - Theory · Physics 2018-03-14 Rajan Murgan

An exactly solvable strongly correlated electron model with two independent parameters is constructed in the frame of the quantum inverse scattering method, which can be seen as a generalization of the Bariev model. Through the Bethe ansatz…

Strongly Correlated Electrons · Physics 2024-11-14 Mingchen Zheng , Xin Zhang , Junpeng Cao , Wen-li Yang , Yupeng Wang

The surface free energy is the difference between the free energies for a system with open boundary conditions and the same system with periodic boundary conditions. We use the quantum transfer matrix formalism to express the surface free…

Statistical Mechanics · Physics 2015-06-25 Frank Göhmann , Michael Bortz , Holger Frahm

We analyze wavefunctions of the six-vertex model by extending the Izergin-Korepin analysis on the domain wall boundary partition functions. We particularly focus on the case with triangular boundary. By using the $U_q(sl_2)$ $R$-matrix and…

Mathematical Physics · Physics 2018-05-23 Kohei Motegi

We apply the thermodynamic Bethe Ansatz to investigate the high energy behaviour of a class of scattering matrices which have recently been proposed to describe the Homogeneous sine-Gordon models related to simply laced Lie algebras. A…

High Energy Physics - Theory · Physics 2014-11-18 O. A. Castro-Alvaredo , A. Fring , C. Korff , J. L. Miramontes

Integrable open-boundary condition for the q-deformed Essler-Korepin-Schoutens extended Hubbard model of strongly correlated electrons, are studied in the framework of the boundary quantum inverse scattering method. Diagonal boundary…

Strongly Correlated Electrons · Physics 2009-10-31 Xiang-Yu Ge

For a wide class of noninteracting tight-binding models in one dimension we present an analytical solution for all scattering and edge states on a half-infinite system. Without assuming any symmetry constraints we consider models with…

Mesoscale and Nanoscale Physics · Physics 2020-04-14 Mikhail Pletyukhov , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive…

High Energy Physics - Theory · Physics 2009-11-07 H. Babujian , M. Karowski

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and…

High Energy Physics - Theory · Physics 2009-11-07 P. Mosconi , G. Mussardo , V. Riva

This work presents a generalized boundary integral method for elliptic equations on surfaces, encompassing both boundary value and interface problems. The method is kernel-free, implying that the explicit analytical expression of the kernel…

Numerical Analysis · Mathematics 2025-08-25 Pengsong Yin , Wenjun YIng , Yulin Zhang , Han Zhou

Using the framework of the algebraic Bethe Ansatz, we study the scalar product of the inhomogeneous XXZ spin-1/2 chain. Inspired by the Izergin-Korepin procedure for evaluating the domain wall partition function, we obtain a set of…

Mathematical Physics · Physics 2011-08-09 M Wheeler

A novel Bethe Ansatz scheme is proposed to calculate physical properties of quantum integrable systems without $U(1)$ symmetry. As an example, the anti-periodic XXZ spin chain, a typical correlated many-body system embedded in a topological…

Mathematical Physics · Physics 2020-09-29 Yi Qiao , Pei Sun , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

A general method is proposed for constructing the Bethe ansatz equations of integrable models without U(1) symmetry. As an example, the exact spectrum of the XXZ spin ring with M{\" o}bius like topological boundary condition is derived by…

Statistical Mechanics · Physics 2015-06-16 Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang