  We study Andreev bound states (ABS) and resulting charge transport of Rashba
superconductor (RSC) where two-dimensional semiconductor (2DSM)
heterostructures is sandwiched by spin-singlet s-wave superconductor and
ferromagnet insulator. ABS becomes a chiral Majorana edge mode similar to that
in spinless chiral p-wave pairing in topological phase (TP). We clarify that
two types of quantum criticality about the topological change of ABS near a
quantum critical point (QCP), whether ABS exists at QCP or not. In the former
type, ABS has a energy gap and does not cross at zero energy in non-topological
phase (NTP). These complex properties can be detected by tunneling conductance
between normal metal / RSC junctions.
