# 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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