Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields

Hubbard model with boundary fields

A supersymmetric U q [osp(2|2)]-extended Hubbard model with boundary fields Abstract 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 boundary-reflection K-matrices leading to four kinds of possible boundary interaction term...

Exact integrability of the one-dimensional Hubbard model.

We have recently shown (]) that the one-dimensional ( ld) Hubbard model possesses an infinite number of conservation laws by identifying a 2d classical statistical model for which a one-parameter family of transfer matrices commutes with the Hamiltonian. Reference2 contains a demonstrat ion that the one-parameter family of transfer matrices commute mutually and hence we have a new completely in...

Exact solution for the Bariev model with boundary fields

The Bariev model with open boundary conditions is introduced and analysed in detail in the framework of the Quantum Inverse Scattering Method. Two classes of independent boundary reflecting K-matrices leading to four different types of boundary fields are obtained by solving the reflection equations. The models are exactly solved by means of the algebraic nested Bethe ansatz method and the four...

Exact solutions of 1-D Hubbard model with open boundary conditions and the conformal dimensions under boundary magnetic fields

The Bethe ansatz equations of the 1-D Hubbard model under open boundaryconditions are systematically derived by diagonalizing the inhomogeneous trans-fer matrix of the XXX model with open boundaries. Through the finite-sizecorrection, we obtain the energy spectrum of the open chain and discuss the ef-fects of boundary magnetic fields applied only at the edges of the chain. S...

Complete solution of the one-dimensional Hubbard model.