The one-dimensional Hubbard model: a reminiscence

DMRG study of ferromagnetism in a one-dimensional Hubbard model

The one dimensional Hubbard model with nearest and (negative) next-nearest neighbour hopping has been studied with the densitymatrix renormalization group (DMRG) method. A large region of ferromagnetism has been found for finite density and finite on-site interaction. PACS : 74.25.Ha, 75.10.Lp

Dimerization in a half-filled one-dimensional extended hubbard model.

We use a density-matrix renormalization group method to study quantitatively the phase diagram of a one-dimensional extended Hubbard model at half filling by investigating the correlation functions and structure factors. We confirmed the existence of a novel narrow region with long-range bond-order-wave order that was highly controversial recently between the charge-density-wave phase and Mott ...

Complete solution of the one-dimensional Hubbard model.

Integrable Boundary Conditions for the One-Dimensional Hubbard Model

We discuss the integrable boundary conditions for the one-dimensional (1D) Hubbard Model in the framework of the Quantum Inverse Scattering Method (QISM). We use the fermionic R-matrix proposed by Olmedilla et al. to treat the twisted periodic boundary condition and the open boundary condition. We determine the most general form of the integrable twisted periodic boundary condition by consideri...

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...