Detangling flat bands into Fano lattices

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flach_detangling_2014.pdf(604.2 KB)
Date
2014-02-01
DOI
10.1209/0295-5075/105/30001
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EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
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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. © Copyright EPLA, 2014.
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Science & Technology, Physical Sciences, Physics, Multidisciplinary, Physics, PHYSICS, MULTIDISCIPLINARY, GROUND-STATES, HUBBARD-MODEL, LINE GRAPHS, FERROMAGNETISM, LOCALIZATION, RESONANCES, TRANSPORT, SYSTEMS
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EPL, 2014, 105 (3), pp. ? - ? (6)
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