Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Highly degenerate photonic flat bands arising from complete graph
  configurations   Inspired by complete graph theory, we demonstrate that a metallic claw
"meta-atom" structure can carry a high number of nearly degenerate resonant
modes. A photonic meta-crystal composing of a lattice of such meta-atoms
exhibits a large number of flat bands that are squeezed into a narrow frequency
window, and these flat bands can be designed to locate in a wide complete 3D
bandgap. The degeneracy dimension (Nf) of the flat bands is determined by the
number of branches (Nb) of the metallic claw with Nf=Nb-3, which is
geometrically related to the complete graph theory. Different from those flat
bands emerging from special lattice arrangements (e.g., Kagome lattice), the
isolated flat bands here are insensitive to lattice perturbations. The proposed
mechanism offers a new platform for realizing various dispersion-less phenomena
and a new paradigm to realize high density of states and spectra compressing.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys