FermionicR-Operator and Integrability of the One-Dimensional Hubbard Model

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...

Ladder operator for the one-dimensional Hubbard model.

The one-dimensional Hubbard model is integrable in the sense that it has an infinite family of conserved currents. We explicitly construct a ladder operator which can be used to iteratively generate all of the conserved current operators. This construction is different from that used for Lorentz invariant systems such as the Heisenberg model. The Hubbard model is not Lorentz invariant, due to t...

Charge and Spin Transport in the One-dimensional Hubbard Model

Shi-Jian Gu, N. M. R. Peres, J. M. P. Carmelo Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong, China Zhejiang Institute of Modern Phys, Zhejiang University, Hangzhou, 310027, China Center of Physics and Physics Department of the University of Minho, School of Sciences, Campus of Gualtar, P-4710-057 Braga, Portugal 4 GCEP-Center of Physi...

Complete solution of the one-dimensional Hubbard model.

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...