Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics

@article{Kollar2019LineGraphLE,
  title={Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics},
  author={Alicia J. Koll'ar and Mattias Fitzpatrick and Peter Sarnak and Andrew A. Houck},
  journal={Communications in Mathematical Physics},
  year={2019},
  volume={376},
  pages={1909-1956}
}
Materials science and the study of the electronic properties of solids are a major field of interest in both physics and engineering. The starting point for all such calculations is single-electron, or non-interacting, band structure calculations, and in the limit of strong on-site confinement this can be reduced to graph-like tight-binding models. In this context, both mathematicians and physicists have developed largely independent methods for solving these models. In this paper we will… 
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