Bimorphic Floquet topological insulators

Pyrialakos, Georgios G.; Beck, Julius; Heinrich, Matthias; Maczewsky, Lukas J.; Kantartzis, Nikolaos V.; Khajavikhan, Mercedeh; Szameit, Alexander; Christodoulides, Demetrios N.

doi:10.1038/s41563-022-01238-w

Cited by 32 publications

(9 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The spatial modulation by helical rotating the waveguides in z axis can emulate a temporal modulation which effectively break the scriptT -symmetry and allows for chiral topological states, Figure (a). In addition to directly tailoring the chiral couplings between waveguides, their onsite potential can also be periodically modulated via an intermediate “chained” waveguide, thus achieving even richer topological phases, Figure (b).…”

Section: Topological Phases In 2d Metamaterials With Broken Time-reve...mentioning

confidence: 99%

See 1 more Smart Citation

Topological Metamaterials

Yves

Krasnok

et al. 2023

Chem. Rev.

View full text Add to dashboard Cite

The topological properties of an object, associated with an integer called the topological invariant, are global features that cannot change continuously but only through abrupt variations, hence granting them intrinsic robustness. Engineered metamaterials (MMs) can be tailored to support highly nontrivial topological properties of their band structure, relative to their electronic, electromagnetic, acoustic and mechanical response, representing one of the major breakthroughs in physics over the past decade. Here, we review the foundations and the latest advances of topological photonic and phononic MMs, whose nontrivial wave interactions have become of great interest to a broad range of science disciplines, such as classical and quantum chemistry. We first introduce the basic concepts, including the notion of topological charge and geometric phase. We then discuss the topology of natural electronic materials, before reviewing their photonic/phononic topological MM analogues, including 2D topological MMs with and without time-reversal symmetry, Floquet topological insulators, 3D, higher-order, non-Hermitian and nonlinear topological MMs. We also discuss the topological aspects of scattering anomalies, chemical reactions and polaritons. This work aims at connecting the recent advances of topological concepts throughout a broad range of scientific areas and it highlights opportunities offered by topological MMs for the chemistry community and beyond.

show abstract

Section: Topological Phases In 2d Metamaterials With Broken Time-reve...mentioning

confidence: 99%

“…(b) Schematic of an “on-chain” driven photonic Floquet TI, where the onsite potentials of the lattice are modulated cyclically along the z direction. Reproduced with permission from ref . Copyright 2022 Springer Nature.…”

Section: Topological Phases In 2d Metamaterials With Broken Time-reve...mentioning

confidence: 99%

Topological Metamaterials

Yves

Krasnok

et al. 2023

Chem. Rev.

View full text Add to dashboard Cite

show abstract

Section: Topological Phases In the Photonic Waveguide Arraysmentioning

confidence: 99%

“…One is bimorphic Floquet TIs in the chain‐driven honeycomb lattice. [ 105 ] Unlike conventional Floquet TIs that require bending or stretching of optical waveguides, Floquet driving of the chain‐driven TIs is achieved by introducing interstitial elements between the sites of a static periodic lattice (Figure 3e). By periodically modulating onsite potentials of the interstitial elements, multiple topological phases, including the conventional Chern topological phase and anomalous topological phase, can exist simultaneously in a structure (Figure 3f).…”

Section: Topological Phases In the Photonic Waveguide Arraysmentioning

confidence: 99%

See 1 more Smart Citation

Topological Photonic States in Waveguide Arrays

Kang

Wei

Zhang

et al. 2022

Advanced Physics Research

View full text Add to dashboard Cite

Topological photonics, accompanied by the ability to manipulate light, has emerged as a rapidly growing field of research. More platforms for displaying novel topological photonic states are being explored, thus offering efficient strategies for the realization of robust photonic devices. Optical waveguide arrays, described as a (n+1)‐dimensional system, are ideal platforms for studying topological photonics because of the characteristic that can exhibit light dynamics. Here, this work reviews the experimental implementations of the various topological phases in the optical waveguide arrays, and specifically discusses novel physical phenomena arising from the combination of topology with non‐Hermitianity and nonlinearity. It is believed that topological waveguide arrays provide powerful support for enriching topological physics and promoting the development of topological photonic integrated devices.

show abstract

Floquet Topological Phases in a Photonic Simple Lattice upon On‐Site Drives

Wang,

Huang,

Kang

et al. 2023

Laser & Photonics Reviews

View full text Add to dashboard Cite

Floquet engineering provides an amazing way to reshape materials from topologically trivial to non‐trivial phases by exerting periodic drives. Among its vast investigations spanning various physical systems, the toolkit via driving on‐site potentials only is rarely employed. Here, a Floquet protocol that switches a simple lattice into a non‐trivial topological phase merely by driving its on‐site potentials is proposed. Non‐trivial topology arises from unpaired Floquet drives. Topological zero‐quasienergy states are found at boundaries between non‐trivial and trivial structures, being protected by sublattice symmetry. These states are experimentally demonstrated in a photonic platform. This approach can be extended to unveil more novel topological phenomena as well as to endow non‐trivial properties to a host of materials.

show abstract

Bimorphic Floquet topological insulators

Cited by 32 publications

References 38 publications

Topological Metamaterials

Topological Metamaterials

Topological Photonic States in Waveguide Arrays

Floquet Topological Phases in a Photonic Simple Lattice upon On‐Site Drives

Contact Info

Product

Resources

About