Universal conductance scaling of Andreev reflections using a dissipative prob: Majorana vs Andreev

We study the dissipative quantum tunneling due to Andreev reflections.  We obtain the special scaling behaviors of the tunneling conductance with the temperature or the voltage. We show that the tunneling conductance to a normal Andreev bound state (ABS) will be suppressed with special power-law behaviors when decreasing the temperature, which shows a sharp contrast with that to a Majorana zero mode. Various specific cases have been studied, including the cases that two charges involved in an Andreev reflection process maintain/lose coherence before dissipated, and also the cases with multiple ABSs along with and without a Majorana mode.  We also give the characteristics of con-ductance peaks in each case, which will help experimenters identify the state observed, especially distinguish between the Majorana resonance and the normal Andreev resonance. Finally, we will discuss the experimental progresses on hybrid superconductor-semiconductor nanowire using this dissipative prob.