English
Related papers

Related papers: Edge Solitons in Lieb Topological Floquet Insulato…

200 papers

Topological insulators are unique physical structures that are insulators in their bulk, but support currents at their edges which can be unidirectional and topologically protected from scattering on disorder and inhomogeneities. Photonic…

We introduce topological vector edge solitons in a Floquet insulator, consisting of two honeycomb arrays of helical waveguides with opposite directions of rotation in a focusing nonlinear optical medium. Zigzag edges of two arrays placed in…

We show theoretically that a photonic topological insulator can support edge solitons that are strongly self-localized and propagate unidirectionally along the lattice edge. The photonic topological insulator consists of a Floquet lattice…

Optics · Physics 2016-10-05 Daniel Leykam , Y. D. Chong

We show that one-dimensional Floquet trimer arrays with periodically oscillating waveguides support two different and co-existing types of topological Floquet edge states in two different topological gaps in Floquet spectrum. In these…

Optics · Physics 2023-09-15 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Yiqi Zhang

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

Optics · Physics 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

We theoretically introduce a new type of topological dipole solitons propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bifurcate from two edge states belonging to different…

Pattern Formation and Solitons · Physics 2021-05-14 Sergey K. Ivanov , Yaroslav V. Kartashov , Matthias Heinrich , Alexander Szameit , Lluis Torner , Vladimir V. Konotop

We address the formation of topological edge solitons in rotating Su-Schrieffer-Heeger waveguide arrays. The linear spectrum of the non-rotating topological array is characterized by the presence of topological gap with two edge states…

Optics · Physics 2023-06-28 Sergey K. Ivanov , Yaroslav V. Kartashov

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

We introduce a class of topological lasers based on the photonic Floquet topological insulator concept. The proposed system is realized as a truncated array of the lasing helical waveguides, where the pseudo-magnetic field arises due to…

Topological insulators are studied via tight-binding approximations of longitudinally driven photonic lattices with three lattice sites per unit cell. Two cases are considered in detail: Lieb and Kagome lattices. The lattice is decomposed…

Pattern Formation and Solitons · Physics 2019-03-27 Mark J. Ablowitz , Justin T. Cole

We consider an array of straight nonlinear waveguides constituting a two-dimensional square lattice, with a few central layers tilted with respect to the rest of the structure. It is shown that such configuration represents a line defect,…

We introduce traveling Floquet valley Hall edge solitons in a genuinely continuous system consisting of a waveguide array with a dynamically varying domain wall between two honeycomb structures exhibiting broken inversion symmetry.…

Optics · Physics 2024-07-16 Sergey K. Ivanov , Yaroslav V. Kartashov

We report the experimental observation of nonlinear light localization and edge soliton formation at the edges of fs-laser written trimer waveguide arrays, where transition from non-topological to topological phases is controlled by the…

Topological materials exhibit properties dictated by quantised invariants that make them robust against perturbations. This topological protection is a universal wave phenomenon that applies not only in the context of electrons in…

Optics · Physics 2020-05-26 Sebabrata Mukherjee , Mikael C. Rechtsman

We investigate the formation of multipole topological solitons at the edges of two and three coupled parallel Su-Schrieffer-Heeger (SSH) waveguide arrays. We show that independent variations of waveguide spacing in the unit cells (dimers)…

Optics · Physics 2024-06-28 Khalil Sabour , Yaroslav V. Kartashov

We consider a topological Floquet insulator consisting of two honeycomb arrays of identical waveguides having opposite helicities. The interface between the arrays supports two distinct topological edge states, which can be resonantly…

Conventional topological photonic insulators typically have narrow nontrivial band gaps truncated by broad dispersive bulk bands, resulting in limited edge mode transmission bandwidths that can be exploited for potential applications. Here…

Optics · Physics 2023-05-11 Hanfa Song , Tyler Zimmerling , Bo Leng , Vien Van

We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrodinger equation with a sinusoidal potential, such as photonic crystals, waveguide arrays,…

Pattern Formation and Solitons · Physics 2007-05-23 Dmitry E. Pelinovsky , Andrey A. Sukhorukov , Yuri S. Kivshar

A honeycomb array of helical waveguides with zigzag-zigzag edges and a refractive index gradient orthogonal to the edges may support Floquet bound states in continuum (BICs). The gradient of the refractive index leads to strong asymmetry of…

Optics · Physics 2022-09-30 Chunyan Li , Yaroslav V. Kartashov , Vladimir V. Konotop

Topological insulators are unique devices supporting unidirectional edge states at their interfaces. Due to topological protection, such edge states persist in the presence of disorder and do not experience backscattering upon interaction…

‹ Prev 1 2 3 10 Next ›