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

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.

[1]  Yao-Z Zhang,et al.  New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations , 1997, cond-mat/9711238.

[2]  A. Bracken,et al.  An open-boundary integrable model of three coupled XY spin chains , 1997, cond-mat/9710171.

[3]  M. Gould,et al.  Eight-state supersymmetric U model of strongly correlated fermions , 1997, cond-mat/9709129.

[4]  Yao-Z Zhang,et al.  Quantum integrability and exact solution of the supersymmetric U model with boundary terms , 1997, cond-mat/9707263.

[5]  M. Gould,et al.  A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry , 1997, cond-mat/9711305.

[6]  A. Bracken,et al.  Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons , 1997, cond-mat/9710141.

[7]  M. Wadati,et al.  Bethe Ansatz Equation for the Hubbard Model with Boundary Fields , 1997 .

[8]  Zhou.  Quantum integrability for the one-dimensional Hubbard open chain. , 1996, Physical review. B, Condensed matter.

[9]  Zhou.  Integrable open-boundary conditions for the one-dimensional Bariev chain. , 1996, Physical review. B, Condensed matter.

[10]  H. Asakawa,et al.  Finite-size corrections in the XXZ model and the Hubbard model with boundary fields , 1996 .

[11]  M. Gould,et al.  INTEGRABLE ELECTRON MODEL WITH CORRELATED HOPPING AND QUANTUM SUPERSYMMETRY , 1995, cond-mat/9506119.

[12]  J. Zittartz,et al.  A New Integrable Two-Parameter Model of Strongly Correlated Electrons in One Dimension , 1995, cond-mat/9504114.

[13]  Zhang,et al.  New Supersymmetric and Exactly Solvable Model of Correlated Electrons. , 1994, Physical review letters.

[14]  V. Korepin,et al.  Exactly solvable models of strongly correlated electrons , 1994, cond-mat/9408092.

[15]  A. Gonz'alez--Ruiz.  Integrable open-boundary conditions for the supersymmetric t-J model the quantum-group-invariant case , 1994, hep-th/9401118.

[16]  H. Vega,et al.  Boundary K-matrices for the six vertex and the n(2n-1)An-1 vertex models , 1992, hep-th/9211114.

[17]  R. Z. Bariev.  Integrable model of interacting XY chains , 1991 .

[18]  Rafael I. Nepomechie,et al.  Integrable open spin chains with nonsymmetric R-matrices , 1991 .

[19]  E. Sklyanin.  Boundary conditions for integrable quantum systems , 1988 .