Detangling flat bands into Fano lattices

By Sergej Flach, D. Leykam, J. Bodyfelt, Peter Matthies, A. Desyatnikov. 2013

201 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d77b22a06709d2517d2f4bd535302695a1153775

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Sergej Flach
2. Oleg V. Gendelman
3. D. Leykam
4. Alexei Andreanov
5. Alexander F. Vakakis
6. Gaetan Kerschen
7. Yuli Starosvetsky
8. Lawrence A. Bergman

In Statistical and Nonlinear Physics

1. Sergej Flach
2. Oleg V. Gendelman

Citations in the corpus

• Artificial flat band systems: from lattice models to experiments (2018, background): “the flat band is protected by a local symmetry associated with this transformation [40],”
• Compact localized states and flat-band generators in one dimension (2016, methodology): “The CLS are classified by the number U of lattice unit cells they occupy [17].”