  The centrally extended superalgebra psu(2|2)xR^3 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 U_q(psu(2|2)xR^3) and derive the fundamental R-matrix. From the
latter we deduce an integrable spin chain Hamiltonian with three independent
parameters and the corresponding Bethe equations to describe the spectrum on
periodic chains. We relate our Hamiltonian to a two-parametric Hamiltonian
proposed by Alcaraz and Bariev which can be considered a quantum deformation of
the one-dimensional Hubbard model.
