Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface density-of-states on semi-infinite topological photonic and
  acoustic crystals   Iterative Green's function, based on cyclic reduction of block tridiagonal
matrices, has been the ideal algorithm, through tight-binding models, to
compute the surface density-of-states of semi-infinite topological electronic
materials. In this paper, we apply this method to photonic and acoustic
crystals, using finite-element discretizations and a generalized eigenvalue
formulation, to calculate the local density-of-states on a single surface of
semi-infinite lattices. The three-dimensional (3D) examples of gapless
helicoidal surface states in Weyl and Dirac crystals are shown and the
computational cost, convergence and accuracy are analyzed.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph