  We investigate the nonequilibrium transport properties of a three-terminal
quantum dot in the strongly interacting limit. At low temperatures, a Kondo
resonance arises from the antiferromagnetic coupling between the localized
electron in the quantum dot and the conduction electrons in source and drain
leads. It is known that the local density of states is accessible through the
differential conductance measured at the (weakly coupled) third lead. Here, we
consider the multiterminal current-current correlations (shot noise and cross
correlations measured at two different terminals). We discuss the dependence of
the current correlations on a number of external parameters: bias voltage,
magnetic field and magnetization of the leads. When the Kondo resonance is
split by fixing the voltage bias between two leads, the shot noise shows a
nontrivial dependence on the voltage applied to the third lead. We show that
the cross correlations of the current are more sensitive than the conductance
to the appearance of an external magnetic field. When the leads are
ferromagnetic and their magnetizations point along opposite directions, we find
a reduction of the cross correlations. Moreover, we report on the effect of
dephasing in the Kondo state for a two-terminal geometry when the third lead
plays the role of a fictitious voltage probe.
