Theory of tunneling spectroscopy for chiral topological superconductors

We study the charge conductance of an interface between a normal metal and a superconducting quantum anomalous Hall system, based on the recursive Green's function. The angle-resolved conductance γ(ky,eV) with momentum ky parallel to the interface and bias voltage V shows a rich structure depending on the Chern number N of the system. We find that when the bias voltage is tuned to the energy dispersion of the edge mode, eV=Eedge(ky), the angle-resolved conductance γ(ky,Eedge(ky)) shows a pronounced even-odd effect; the conductance vanishes for N=0 or 2, while it takes the universal value 2e²/h for N=1. In particular, in the N=2 phase, we find that the conductance γ(ky,Eedge(ky)) becomes 0 due to the interference of two degenerate Majorana edge modes, although the corresponding surface spectral weight remains nonzero.