Phase-dependent counting statistics in a short-arm Andreev interferometer

We calculate analytically the full counting statistics for short normal metal-superconductor junctions for arbitrary voltages and temperatures. We also consider the phase oscillations of the cumulant-generating function in Andreev interferometers. At T=0 and at applied voltage much smaller than the proximity gap Delta(phi), the current noise P-I doubles and the third current cumulant C-3 is 4 times larger compared to the normal state; at eVmuch greater thanDelta(phi) they acquire large excess components. At the gap edge, eV=Delta(phi), the differential shot noise dP(I)/dV exhibits sharp peak, while the differential Fano factor dP(I)/dI turns to zero along with the differential resistance, which reflects the transmission resonance associated with the singularity of the density of states. At nonzero temperature, C-3 shows a nonmonotonous voltage dependence with a dip near eV=Delta(phi); the zero-bias slope of C-3(V) is much larger (up to 5 times) than at the zero temperature.