Resonant tunneling through Andreev levels

We use a semiclassical approach for analysing the tunneling transport through a normal conductor in contact with superconducting mirrors. Our analysis of the electron-hole propagation along semiclassical trajectories shows that resonant transmission through Andreev levels is possible resulting in an excess, low-energy quasiparticle contribution to the conductance. The excess conductance oscillates with the phase difference between the superconductors having maxima at odd multiples of $\pi$ for temperatures much below the Thouless temperature