New integrable extension of the Hubbard chain with variable range hopping

TL;DR

This paper introduces a new integrable extension of the one-dimensional Hubbard model featuring variable-range correlated hopping, constructed via the quantum inverse scattering method, and explores its multiparticle eigenstates.

Contribution

It presents a novel integrable Hubbard model variant with variable-range hopping, expanding the class of exactly solvable models in condensed matter physics.

Findings

Model exhibits Y(su(2))⊕Y(su(2)) symmetry in the infinite chain limit.

Multiparticle eigenstates are explicitly constructed using the quantum inverse scattering method.

The model's integrability is established through the deformation of the L-matrix.

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.