  We study Bell-state correlations for quasiparticle pairs excited in nonlinear
current through a double quantum dot in the Kondo regime. Exploiting the
renormalized perturbation expansion in the residual interactions of the local
Fermi liquid and Bell's inequality for cross correlation of spin currents
through distinct conduction channels, we derive an asymptotically exact form of
Bell's correlation for the double dot at low bias voltages. We find that pairs
of quasiparticles and holes excited by the residual exchange interaction can
violate Bell's inequality for the cross correlations of the spin currents.
