Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
Physical Review B, 2018•APS
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 N ZES describes the
number of zero-energy states at the dirty surface of ap-wave superconductor. We generalize
the theory to clarify the conditions required for a superconductor that enables N ZES≠ 0 …
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 N ZES describes the
number of zero-energy states at the dirty surface of ap-wave superconductor. We generalize
the theory to clarify the conditions required for a superconductor that enables N ZES≠ 0 …
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 describes the number of zero-energy states at the dirty surface of a -wave superconductor. We generalize the theory to clarify the conditions required for a superconductor that enables . Our results show that is realized in a topological material that belongs to either the BDI or CII class. We also present two realistic Hamiltonians that result in .
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