Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
Satoshi Ikegaya, Shingo Kobayashi, Yasuhiro Asano
DOI 10.1103/PhysRevB.97.174501 · Physical Review B
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Abstract
We discuss the symmetry property of a nodal superconductor that hosts robust flat-band zero-energy states at its surface under potential disorder. Such robust zero-energy states are known to induce the anomalous proximity effect in a dirty normal metal attached to a superconductor. A recent study has shown that a topological index NZES describes the number of zero-energy states at the dirty surface of a p-wave superconductor. We generalize the theory to clarify the conditions required for a superconductor that enables NZES≠0. Our results show that NZES≠0 is realized in a topological material that belongs to either the BDI or CII class. We also present two realistic Hamiltonians that result in NZES≠0.
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