Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bulk and surface bound states in the continuum   We examine bulk and surface bound states in the continuum (BIC) that is,
square-integrable, localized modes embedded in the linear spectral band of a
discrete lattice including interactions to first-and second nearest neighbors.
We suggest an efficient method for generating such modes and the local bounded
potential that supports the BIC, based on the pioneering Wigner-von Neumann
concept. It is shown that the bulk and surface embedded modes are structurally
stable and that they decay faster than a power law at long distances from the
mode center.

2
The categories of this paper are: math
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th