Compact discrete breathers on flat-band networks
Article (Accepted Version)
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Linear wave equations on flat-band networks host compact localized eigenstates (CLS). Nonlinear wave equations on translationally invariant flat-band networks can host compact discrete breathers-time-periodic and spatially compact localized solutions. Such solutions can appear as one-parameter families of continued linear compact eigenstates, or as discrete sets on families of non-compact discrete breathers, or even on purely dispersive networks with fine-tuned nonlinear dispersion. In all cases, their existence relies on destructive interference. We use CLS amplitude distribution properties and orthogonality conditions to derive existence criteria and stability properties for compact discrete breathers as continued CLS. Published by AIP Publishing.
Source:Low Temperature Physics, 2018, 44, 7, 678-687
- Photonics of micro and nano structured materials (RS-45010)
- IBS (IBS-R024-D1)
- This is the peer-reviewed version of the following article: Danieli, C., A. Maluckov, and S. Flach. "Compact discrete breathers on flat-band networks." Low Temperature Physics 44, no. 7 (2018): 865-876. http://dx.doi.org/10.1063/1.5041434