Anomalous Nonlocal Conductance in Superconductor/Ferromagnets Hybrids with Chiral p-wave pairing symmetry

Finding a smoking-gun signature of chiral Majorana edge states is an urgent issue in physics of Sr${}_2$RuO${}_4$, which is a promising candidate material of intrinsic chiral p-wave superconductors. Thus far, the zero-bias conductance peak in the tunneling transport has been experimentally observed. However, the zero-bias conductance peak is not a conclusive evidence for the chiral Majorana edge states because it can be induced by any type of topologically protected edge states. In this work, we demonstrate that the chiral nature of Majorana edge states is drastically manifested in nonlocal conductance in a junction consisting of a chiral p-wave superconductor and two ferromagnetic leads. The nonlocal conductance in the present junction is insensitive to the distance between the two leads and is sensitive to the chirality of the pair potential. These two drastic features enable us to identify the moving direction of the chiral Majorana edge states in the single experimental setup only by changing the lead wire to which the bias voltage is applied. We propose a smoking-gun experiment for detecting the chiral Majorana edge states in the chiral p-wave superconductor.