Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry conditions of a nodal superconductor for generating robust
  flat-band Andreev bound states at its dirty surface   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 ${\cal N}_\mathrm{ZES}$ 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 ${\cal N}_\mathrm{ZES}\neq 0$. Our results show that ${\cal
N}_\mathrm{ZES}\neq 0$ is realized in a topological material that belongs to
either the BDI or CII class. We also present two realistic Hamiltonians that
result in ${\cal N}_\mathrm{ZES}\neq 0$.

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The categories of this paper are: physics
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc