Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9802097 · Bulletin of the Australian Mathematical Society

Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution

Anthony J. Bracken, Xiangyu Ge, Yao-Zhong Zhang, Huan-Qiang Zhou

Published Jun 1, 1999• 1 citation
arXivHTMLPDF

Abstract

The recently introduced two-parameter eight-state Uq [gl(3|1)] supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.

DOI
10.1017/s0004972700033050

Related papers

Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model

Yao-Zhong Zhang, Huan-Qiang Zhou

Nine classes of integrable boundary conditions for the eight-state supersymmetric model of strongly correlated fermions are presented. The boundary systems are solved by using the coordinate Bethe ansatz method and the Bethe ansatz equations for all nine cases are given.

arXiv:cond-mat/9801149•Journal of Physics A Mathematical and General•Aug 28, 1998•1 citation

Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions

Xiangyu Ge, M. D. Gould

Nine classes of integrable open boundary conditions, further extending the one-dimensional U q ( gl (2|2)) extended Hubbard model, have been constructed previously by means of the boundary Z 2 -graded quantum inverse scattering method. The boundary systems are now solved by using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained for all nine cases.

Journal of Physics A Mathematical and General•Feb 5, 2003•3 citations

Quantum integrability and exact solution of the supersymmetric U model with boundary terms

Yao-Zhong Zhang, Huan-Qiang Zhou

Quantum integrability is established for the one-dimensional supersymmetric $U$ model with boundary terms by means of the quantum inverse-scattering method. The boundary supersymmetric $U$ chain is solved by using the coordinate-space Bethe-ansatz technique and Bethe-ansatz equations are derived. This provides us with a basis for computing the finite-size corrections to the low-lying energies in the system.

arXiv:cond-mat/9707263•Physical review. B, Condensed matter•Jul 1, 1998•8 citations

Integrable boundary conditions for supersymmetric U model

Xiangyu Ge, Huan-Qiang Zhou

The integrable open-boundary conditions for the supersymmetric U model, which may be of relevance to high-T-C superconductivity,are considered. The diagonal boundary K-matrices are found and a class of integrable boundary terms are determined. Further, the boundary model Hamiltonians are solved by means of the coordinate Bethe ansatz method and the Bethe ansatz equations are derived.

•Jan 1, 1999•0 citations

Exact diagonalization of the generalized supersymmetric t−J model with boundaries

Heng Fan, Miki Wadati, Xiaoman Wang

We study the generalized supersymmetric $t\ensuremath{-}J$ model with boundaries in three different gradings: fermionic, fermionic, bosonic (FFB), bosonic, fermionic, fermionic (BFF), and fermionic, bosonic, fermionic (FBF). Starting from the trigonometric R matrix, and in the framework of the graded quantum inverse scattering method, we solve the eigenvalue problems for the supersymmetric $t\ensuremath{-}J$ model. Detailed calculations are presented to obtain the eigenvalues and Bethe ansatz equations of the supersymmetric $t\ensuremath{-}J$ model with boundaries in three different backgrounds.

arXiv:cond-mat/9906083•Physical review. B, Condensed matter•Feb 1, 2000•17 citations

Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions

Anthony J. Bracken, Xiangyu Ge, M. D. Gould +2 more

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded quantum inverse scattering method. The Bethe ansatz equations for all these models are derived by using the algebraic Bethe ansatz method.

arXiv:cond-mat/0105256•Journal of Physics A Mathematical and General•May 18, 2001•4 citations
The recently introduced two-parameter eight-state Uq [gl(3|1)] supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.
Quantum integrability is established for the one-dimensional supersymmetric UUU model with boundary terms by means of the quantum inverse-scattering method. The boundary supersymmetric UUU chain is solved by using the coordinate-space Bethe-ansatz technique and Bethe-ansatz equations are derived. This provides us with a basis for computing the finite-size corrections to the low-lying energies in the system.
We study the generalized supersymmetric $t\ensuremath{-}J$ model with boundaries in three different gradings: fermionic, fermionic, bosonic (FFB), bosonic, fermionic, fermionic (BFF), and fermionic, bosonic, fermionic (FBF). Starting from the trigonometric R matrix, and in the framework of the graded quantum inverse scattering method, we solve the eigenvalue problems for the supersymmetric $t\ensuremath{-}J$ model. Detailed calculations are presented to obtain the eigenvalues and Bethe ansatz equations of the supersymmetric $t\ensuremath{-}J$ model with boundaries in three different backgrounds.