Detangling Flat Bands into Fano Lattices
Mesoscale and Nanoscale Physics
2014-03-24 v3 Optics
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1311.5689,
title = {Detangling Flat Bands into Fano Lattices},
author = {Sergej Flach and Daniel Leykam and Joshua D. Bodyfelt and P. Matthies and Anton S. Desyatnikov},
journal= {arXiv preprint arXiv:1311.5689},
year = {2014}
}
Comments
6 pages, 4 figures. v3: published version + erratum