Phase-dependent counting statistics in a short-arm Andreev interferometer
E. V. Bezuglyi, E. N. Bratus’, V. S. Shumeiko, V. Vinokur
DOI 10.1103/PhysRevB.70.064507 · Physical Review B
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Abstract
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 Δϕ, the current noise PI doubles and the third current cumulant C3 is 4 times larger compared to the normal state; at eV⪢Δϕ they acquire large excess components. At the gap edge, eV=Δϕ, the differential shot noise dPI∕dV exhibits sharp peak, while the differential Fano factor dPI∕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=Δϕ; the zero-bias slope of C3(V) is much larger (up to 5 times) than at the zero temperature.
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