2024-03-28T23:27:38Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/707972022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surfaceIkegaya, SatoshiKobayashi, Shingo1000020271637Asano, Yasuhiroopen access©2018 American Physical Society427We 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 a p-wave superconductor. We generalize the theory to clarify the conditions required for a superconductor that enables N-ZES not equal 0. Our results show that N-ZES not equal 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 N-ZES not equal 0.American Physical Society (APS)2018-05-01engjournal articleVoRhttp://hdl.handle.net/2115/70797https://doi.org/10.1103/PhysRevB.97.1745012469-9950Physical Review B9717174501https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/70797/1/PhysRevB.97.174501.pdfapplication/pdf393.01 KB2018-05-01