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We study transport through a single channel t-stub geometry strongly coupledto a superconducting reservoir. In contrast to the standard stub geometry whichhas both transmission resonances and anti-resonances in the coherent limit, wefind that due to the proximity effect, this geometry shows neither a T=1resonance (T is the transmission probability for electrons incident on thet-stub) nor a T=0 anti-resonance as we vary the energy of the incidentelectron. Instead, we find that there is only one resonant value at T=1/4,where charge transport vanishes while the spin transport is perfect.

Resonant charge and spin transport in a t-stub coupled to a superconductor