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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

Detangling Flat Bands into Fano Lattices

arXiv
Authors: Sergej Flach, Daniel Leykam, Joshua D. Bodyfelt, P. Matthies, Anton S. Desyatnikov

Year

2013

Paper ID

31797

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states which appear due to destructive interference and local symmetry. Interference provides a deep connection between the existence of flat band states (FBS) and the appearance of Fano resonances for wave propagation. We introduce generic transformations detangling FBS and dispersive states into lattices of Fano defects. Inverting the transformation, we generate a continuum of FB models. Our procedure allows us to systematically treat perturbations such as disorder and explain the emergence of energy-dependent localization length scaling in terms of Fano resonances.

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  • Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states which appear due to destructive interference and local symmetry.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.5689 [2] arXiv https://arxiv.org/abs/1311.5689 [3] Publisher https://arxiv.org/abs/1311.5689

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