Complete solution of the one-dimensional Hubbard model

Complete solution of the one-dimensional Hubbard model.

Complete Solution of a Supersymmetric Extended Hubbard Model

We show that the recently constructed exact solution of the SU(2|2) extended Hub-bard model on a one-dimensional lattice provides a complete set of 4 L eigenstates of the hamiltonian, where L is the length of the lattice.

Integrable variant of the one-dimensional Hubbard model

Abstract. A new integrable model which is a variant of the one-dimensional Hubbard model is proposed. The integrability of the model is verified by presenting the associated quantum R-matrix which satisfies the Yang-Baxter equation. We argue that the new model possesses the SO(4) algebra symmetry, which contains a representation of the η-pairing SU(2) algebra and a spin SU(2) algebra. Additiona...

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...

Quantum deformations of the one-dimensional Hubbard model

The centrally extended superalgebra psu(2|2)⋉ R was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here we consider its quantum deformation Uq(psu(2|2)⋉R) and derive the fundamental R-matrix. From the latter we deduce an integrable spin chain Hamiltonian with three independent parameters and the corres...