Compact localized boundary states in a quasi-1D electronic diamond-necklace chain

Kempkes, S. N.; Capiod, Pierre; Ismaili, S.; Mulkens, J.; Eek, L.; Swart, Ingmar; Smith, C. Morais

doi:10.1007/s44214-023-00026-0

Cited by 6 publications

(3 citation statements)

References 47 publications

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“…Instead, under the influence of destructive interference, the light remains perfectly confined within one unit cell at the edge. Consequently, we can reasonably anticipate that these edge modes may exhibit remarkable stability and maintain strong topological protection, regardless of the system size . To validate this hypothesis, we discuss the robustness of the topological edge modes in smaller systems.…”

mentioning

confidence: 83%

“…Consequently, we can reasonably anticipate that these edge modes may exhibit remarkable stability and maintain strong topological protection, regardless of the system size. 39 To validate this hypothesis, we discuss the robustness of the topological edge modes in smaller systems. Specifically, we perform numerical calculations to determine the energy offset and localization length of the edge modes and plot them as a function of the disorder strength (see Section S4, Supporting Information).…”

mentioning

confidence: 99%

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On-Chip Photonic Localization in Aharonov–Bohm Cages Composed of Microring Lattices

Chen,

Ke,

Zhao

et al. 2024

Nano Lett.

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Flatband localization endowed with robustness holds great promise for disorder-immune light transport, particularly in the advancement of optical communication and signal processing. However, effectively harnessing these principles for practical applications in nanophotonic devices remains a significant challenge. Herein, we delve into the investigation of onchip photonic localization in AB cages composed of indirectly coupled microring lattices. By strategically vertically shifting the auxiliary rings, we successfully introduce a magnetic flux of π into the microring lattice, thereby facilitating versatile control over the localization and delocalization of light. Remarkably, the compact edge modes of this structure exhibit intriguing topological properties, rendering them strongly robust against disorders, regardless of the size of the system. Our findings open up new avenues for exploring the interaction between flatbands and topological photonics on integrated platforms.

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confidence: 83%

mentioning

confidence: 99%

On-Chip Photonic Localization in Aharonov–Bohm Cages Composed of Microring Lattices

Chen,

Ke,

Zhao

et al. 2024

Nano Lett.

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“…The defining feature of CLSs-namely, their perfect localization-renders these states very robust against perturbations: Since they vanish exactly outside their localization domain D, they are not affected by any changes to the system outside D. Due to this property, CLSs are ideal candidates for storing information [55,56]. The perfect localization of CLSs might further be interesting in the context of photonic waveguide arrays, where it allows for diffraction-free transmission of information in the form of CLSs [42,57].…”

Section: Coupling Through Intermediate Sitesmentioning

confidence: 99%

Spectral properties of two coupled Fibonacci chains

Moustaj,

Röntgen,

Morfonios

et al. 2023

New J. Phys.

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The Fibonacci chain, i.e., a tight-binding model where couplings and/oron-site potentials can take only two different values distributed according to theFibonacci word, is a classical example of a one-dimensional quasicrystal. With itsmany intriguing properties, such as a fractal eigenvalue spectrum, the Fibonacci chainoffers a rich platform to investigate many of the effects that occur in three-dimensionalquasicrystals. In this work, we study the eigenvalues and eigenstates of two identicalFibonacci chains coupled to each other in different ways. We find that this setup allowsfor a rich variety of effects. Depending on the coupling scheme used, the resultingsystem (i) possesses an eigenvalue spectrum featuring a richer hierarchical structurecompared to the spectrum of a single Fibonacci chain, (ii) shows a coexistence of Blochand critical eigenstates, or (iii) possesses a large number of degenerate eigenstates,each of which is perfectly localized on only four sites of the system. If additionally, thesystem is infinitely extended, the macroscopic number of perfectly localized eigenstatesinduces a perfectly flat quasi band. Especially the second case is interesting from anapplication perspective, since eigenstates that are of Bloch or of critical characterfeature largely different transport properties. At the same time, the proposed setupallows for an experimental realization, e.g., with evanescently coupled waveguides,electric circuits, or by patterning an anti-lattice with adatoms on a metallic substrate.

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Observation of Topologically Distinct Corner States in “Bearded” Photonic Kagome Lattices

Song,

Bongiovanni,

et al. 2023

Advanced Optical Materials

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Kagome lattices represent an archetype of intriguing physics, attracting a great deal of interest in different branches of natural sciences, recently in the context of topological crystalline insulators. Here, two distinct classes of corner states in breathing Kagome lattices (BKLs) with “bearded” edge truncation are demonstrated, unveiling their topological origin. The in‐phase corner states are found to exist only in the topologically nontrivial regime, characterized by a nonzero bulk polarization. In contrast, the out‐of‐phase corner states appear in both topologically trivial and nontrivial regimes, either as bound states in the continuum or as in‐gap states depending on the lattice dimerization conditions. Furthermore, the out‐of‐phase corner states are highly localized, akin to flat‐band compact localized states, and they manifest both real‐ and momentum‐space topology. Experimentally, both types of corner states are observed in laser‐written photonic bearded‐edge BKLs, corroborated by numerical simulations. The results not only deepen the current understanding of topological corner modes in BKLs but also provide new insight into their physical origins, which may be applied to other topological BKL platforms beyond optics.

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Compact localized boundary states in a quasi-1D electronic diamond-necklace chain

Cited by 6 publications

References 47 publications

On-Chip Photonic Localization in Aharonov–Bohm Cages Composed of Microring Lattices

On-Chip Photonic Localization in Aharonov–Bohm Cages Composed of Microring Lattices

Spectral properties of two coupled Fibonacci chains

Observation of Topologically Distinct Corner States in “Bearded” Photonic Kagome Lattices

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