Cross Correlation of Incoherent Multiple Andreev Reflections

Sylvie Duhot; François Lefloch; Manuel Houzet

doi:10.1103/PhysRevLett.102.086804

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Cross Correlation of Incoherent Multiple Andreev Reflections

Sylvie Duhot, François Lefloch, Manuel Houzet

DOI 10.1103/PhysRevLett.102.086804 · Physical Review Letters

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Abstract

We use a semiclassical theory to calculate the current correlations in a multiterminal structure composed of a normal metallic dot connected to all superconducting leads at arbitrary voltage and temperature. This theory holds when the proximity effect is suppressed in the dot. At low voltage, eV≪Δ (Δ is the superconducting gap in the leads), when charge transport is due to incoherent multiple Andreev reflections, the correlations are strongly enhanced compared to those in the normal state. Moreover, we predict that the cross correlation can be positive or negative depending on the properties of the point contacts between the dot and the leads. We also discuss the effect of inelastic scattering in the dot.