Relationship between the Bethe-ansatz equations for the Hubbard model with boundary fields

哲生 出口, 瑞宏 岳

Masahiro Shiroishi, Miki Wadati

We apply the coordinate Bethe ansatz method to the one-dimensional Hubbard model with boundary fields. We find two integrable boundaries, that is, the boundary chemical potential and the boundary magnetic field. In total, four possible boundary conditions are explicitly presented. Using the Bethe ansatz equations, the finite size corrections and the low-lying excitation spectrum are evaluated.

Xi‐Wen Guan

The one-dimensional Hubbard model with open boundary conditions is exactly solved by means of the algebraic Bethe ansatz. The eigenvalue of the transfer matrix and the energy spectrum, as well as the Bethe ansatz equations, are obtained.

Victor Fomin, L. Frappat, E. Ragoucy

Holger Frahm, Andreas Schadschneider

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.