Fano Resonances in Flat Band Networks

Ramachandran, Ajith; Danieli, Carlo; Flach, Sergej

doi:10.1007/978-3-319-99731-5_13

Cited by 11 publications

(10 citation statements)

References 51 publications

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“…The details of the impact of the DC field direction, and the extension to dimension d = 3 are still waiting to be explored. Perturbed compact localized states from a flat band act as Fano scatterers for dispersive waves and can be useful for spectroscopy [178].…”

Section: Discussionmentioning

confidence: 99%

Artificial flat band systems: from lattice models to experiments

Leykam

Andreanov

Flach

2018

Advances in Physics: X

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Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned coupling. These flat bands display remarkable stronglyinteracting phases of matter. Originally considered as a theoretical convenience useful for obtaining exact analytical solutions of ferromagnetism, flat bands have now been observed in a variety of settings, ranging from electronic systems to ultracold atomic gases and photonic devices. Here we review the design and implementation of flat bands and chart future directions of this exciting field.

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Section: Discussionmentioning

confidence: 99%

Artificial flat band systems: from lattice models to experiments

Leykam

Andreanov

Flach

2018

Advances in Physics: X

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504

400

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“…The effects of different types of perturbations have been studied in several examples of flat band networks [9,10], as well as the effects of disorder and nonlinearity and interaction between them [11]. Further studies focused on non-Hermitian flat band networks [12], topological flat Wannier-Stark bands [13], Bloch oscillations [14], Fano resonances [15], fractional charge transport [16] and the existence of nontrivial superfluid weights [17]. Chiral flat band networks revealed that CLS and their macroscopic degeneracy can be protected under any perturbation which does not lift the bi-partiteness of the network [18].…”

Section: Introductionmentioning

confidence: 99%

Compact discrete breathers on flat-band networks

Danieli

Maluckov

Flach

2018

Low Temperature Physics

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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 breatherstime-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.

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“…Such peaks are the signs of the SLSs induced by the FBs. Note that the SLSs can change into the compact localized states (CLSs) [50,51] by gapping the FBs away from the dispersive energy spectrum [52]. The CLSs are ideal candidates for the transmission of information [53].…”

Section: Slss and Optical Absorption Without External Electric Fieldmentioning

confidence: 99%

Strongly localized states and giant optical absorption induced by multiple flat-bands in AA-stacked multilayer armchair graphene nanoribbons

Chen

Wang

et al. 2022

New J. Phys.

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We propose an AA-stacked multilayer graphene nanoribbon with two symmetrical armchair edges as a multiple flat-band (FB) material. Using the tight-binding Hamiltonian and Green’s function method, we find that the FBs are complete and merged into many dispersive bands. The FBs cause multiple strongly localized states (SLSs) at the sites of the odd lines in every sublayer and a giant optical absorption (GOA) at energy point 2t, where t is the electronic intralayer hopping energy between two nearest-neighbor sites. By driving an electric field perpendicular to the ribbon plane, the bandgaps of the FBs are tunable. Accordingly, the positions of the SLSs in the energy regime can be shifted. However, the position of the GOA is robust against such field, but its strength exhibits a collapse behavior with a fixed quantization step. On the contrary, by driving an electric field parallel to the ribbon plane, the completeness of FBs is destroyed. Resultantly, the SLSs and GOA are suppressed and even quenched. Therefore, such ribbons may be excellent candidates for the design of the controllable information-transmission and optical-electric nanodevices.

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Fano Resonances in Flat Band Networks

Cited by 11 publications

References 51 publications

Artificial flat band systems: from lattice models to experiments

Artificial flat band systems: from lattice models to experiments

Compact discrete breathers on flat-band networks

Strongly localized states and giant optical absorption induced by multiple flat-bands in AA-stacked multilayer armchair graphene nanoribbons

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