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Compact localized states in electric circuit flat-band lattices

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Title
Compact localized states in electric circuit flat-band lattices
Author(s)
Chase-Mayoral, Carys; English, L.Q.; Lape, Noah; Yeongjun Kim; Sanghoon Lee; Alexei Andreanov; Sergej Flach; Kevrekidis, P.G.
Publication Date
2024-02
Journal
Physical Review B, v.109, no.7
Publisher
AMER PHYSICAL SOC
Abstract
We generate compact localized states (CLSs) in an electrical diamond lattice, comprised of only capacitors and inductors, via local driving near its flat-band frequency. We compare experimental results to numerical simulations and find very good agreement. We also examine the stub lattice, which features a flat band of a different class where neighboring compact localized states share lattice sites. We find that local driving, while exciting the lattice at that flat-band frequency, is unable to isolate a single compact localized state due to their nonorthogonality. Finally, we introduce lattice nonlinearity and showcase the realization of nonlinear compact localized states in the diamond lattice. We induce an instability in the nonlinear CLS when it is shifted into resonance with a dispersive (optical) band. Our findings pave the way of applying flat-band physics to complex electric circuit dynamics. © 2024 American Physical Society.
URI
https://pr.ibs.re.kr/handle/8788114/15064
DOI
10.1103/PhysRevB.109.075430
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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