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 Δ_ϕ, the current noise P_I doubles and the third current cumulant C₃ is 4 times larger compared to the normal state; at eV⪢Δ_ϕ they acquire large excess components. At the gap edge, eV=Δ_ϕ, 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, C₃ shows a nonmonotonous voltage dependence with a dip near eV=Δ_ϕ; the zero-bias slope of C₃(V) is much larger (up to 5 times) than at the zero temperature.