Figure 3: Transport properties of a normal lead/topological superconductor/normal lead junction.
(a) Two normal leads are attached to the two ends of a wire with finite length. In a crossed AR process, an electron from the left lead is reflected as a hole in the right lead. As a result, two electrons are injected into the superconductor to form a Cooper pair. For our setup, all the electrons on the left (right) lead have spin pointing to the positive (negative) x direction. (b) In a Cooper pair splitting process, a Cooper pair is split into two electrons with opposite spins. One electron is injected into each lead. (c) Local AR for a short wire with length L=20a. In this case, the local ARs are still strongly suppressed but they can deviate from zero. (d) Crossed AR amplitudes at zero bias of the wire. The crossed AR amplitudes can be close to one in the NBDI=2 phase for a large phase space. (e) Elastic co-tunnelling amplitudes at zero bias. (f) Normal reflection amplitudes at zero bias. It is important to note that the normal reflection amplitudes have a minimal value of one. This is due to the fact that one of the spin channels of the normal lead is completely decoupled from the superconductor and all the electrons of that spin channel are reflected. (g) The ZBC (blue line) and the crossed AR amplitude (green line) as functions of Γz for parameters denoted by the horizontal dashed line in d. The vertical red dashed lines separate the three phases with different NBDI.
