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A weak superconducting proximity effect in the vicinity of the topologicaltransition of a quantum anomalous Hall system has been proposed as a venue torealize a topological superconductor (TSC) with chiral Majorana edge modes(CMEMs). A recent experiment [Science 357, 294 (2017)] claimed to have observedsuch CMEMs in the form of a half-integer quantized conductance plateau in thetwo-terminal transport measurement of a quantum anomalous Hall-superconductorjunction. Although the presence of a superconducting proximity effectgenerically splits the quantum Hall transition into two phase transitions witha gapped TSC in between, in this Rapid Communication we propose that a nearlyflat conductance plateau, similar to that expected from CMEMs, can also arisefrom the percolation of quantum Hall edges well before the onset of the TSC orat temperatures much above the TSC gap. Our Rapid Communication, therefore,suggests that, in order to confirm the TSC, it is necessary to supplement theobservation of the half-quantized conductance plateau with a hardsuperconducting gap (which is unlikely for a disordered system) from theconductance measurements or the heat transport measurement of the transportgap. Alternatively, the half-quantized thermal conductance would also serve asa smoking-gun signature of the TSC.

Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures