New integrable extension of the Hubbard chain with variable range hopping

Abstract

New integrable variant of the one-dimensional Hubbard model with variable-range correlated hopping is studied. The Hamiltonian is constructed by applying the quantum inverse scattering method on the infinite interval at zero density to the one-parameter deformation of the L-matrix of the Hubbard model. By construction, this model has Y(su(2))$\oplus$Y(su(2)) symmetry in the infinite chain limit. Multiparticle eigenstates of the model are investigated through this method.

25 pages, LaTeX, no figures

References in corpus (6)

• Algebraic Bethe ansatz approach for the one-dimensional Hubbard model
• The SU(n)_1 WZW Models: Spinon Decomposition and Yangian Structure
• Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model
• Yangian Symmetry and Quantum Inverse Scattering Method for the One-Dimensional Hubbard Model
• Algebraic Solution of the Hubbard Model on the Infinite Interval
• Algebraic and Analytic Properties of the One-Dimensional Hubbard Model

Cited by in corpus (3)

• Constructing Integrable Lindblad Superoperators
• Integrable spin chains and cellular automata with medium range interaction
• A range three elliptic deformation of the Hubbard model