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Interface states in a 1-D photonic crystal heterostructure with multiple interfaces are examined. It is found that the behavior of the localized modes in the photonic band gaps is dependent on whether there is an even or odd number of…

Optics · Physics 2020-06-24 Nicholas J. Bianchi , Leonard M. Kahn

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

Periodic driving may cause topologically protected, chiral transport along edges of a 2D lattice that, without driving, would be topologically trivial. We study what happens if one adds a different on-site potential along the diagonal of…

Computational Physics · Physics 2024-01-10 Helena Drüeke , Marcus Meschede , Dieter Bauer

Topological phenomena in non-Hermitian systems have recently become a subject of great interest in the photonics and condensed-matter communities. In particular, the possibility of observing topologically-protected edge states in…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Pablo Reséndiz-Vázquez , Konrad Tschernig , Armando Perez-Leija , Kurt Busch , Roberto de J. León-Montiel

Robust states emerging at the boundary of a system constitute a hallmark for topological band structures. Other than in closed systems, topologically protected states can occur even in systems with a trivial band structure, if exposed to…

Quantum Physics · Physics 2023-10-16 Helene Wetter , Michael Fleischhauer , Stefan Linden , Julian Schmitt

We study the eigenspectrum properties of a one-dimensional molecular chain composed of hexagonal unit cells. The system features two alternating hopping parameters, resulting in a rich energy spectrum with both dispersive and flat bands. By…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 M. Niţă

A sudden change in material properties creates a temporal interface and forces a propagating wave to change its frequency while preserving its wavenumber. In contrast to monoatomic lattices with a single frequency-wavenumber pair,…

Classical Physics · Physics 2026-01-15 Mahmoud M. Samak , Osama R. Bilal

Periodic driving of particles can create crystalline structures in their dynamics. Such systems can be used to study solid-state physics phenomena in the time domain. In addition, it is possible to realize photonic time crystals and to…

We construct and investigate a family of two-band unitary systems living on a cylinder geometry and presenting localized edge states. Using the transfer matrix formalism, we solve and investigate in details such states in the thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Clément Tauber , Pierre Delplace

Topological electric quadrupole is a recently proposed concept that extends the theory of electric polarization of crystals to higher orders. Such a quadrupole phase supports topological states localized on both edges and corners. In this…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Feng Liu , Hai-Yao Deng , Katsunori Wakabayashi

One-dimensional topological edge modes are usually studied considering the interface between two different semi infinite periodic crystals (PCs) with inverted band structure around the Dirac point. Here we consider the case where the two…

Topological edge states typically arise at the boundaries of topologically nontrivial structures or at interfaces between regions with differing topological invariants. When topological systems are extended into the nonlinear regime, linear…

We show that it is possible to have a topological phase in two-dimensional quasicrystals without any magnetic field applied, but instead introducing an artificial gauge field via dynamic modulation. This topological quasicrystal exhibits…

Mesoscale and Nanoscale Physics · Physics 2017-05-29 Miguel A. Bandres , Mikael C. Rechtsman , Mordechai Segev

We recently proposed in a Letter [Physical Review Letters 108 255303] a novel scheme to detect topological edge states in an optical lattice, based on a generalization of Bragg spectroscopy. The scope of the present article is to provide a…

Quantum Gases · Physics 2013-03-11 Nathan Goldman , Jerome Beugnon , Fabrice Gerbier

Photonic space time crystals (PSTCs) are emerging materials characterized by periodic variations in electromagnetic parameters with respect to both space and time. To date, research on PSTCs remains theoretical, with no practical…

Applied Physics · Physics 2025-11-14 Onta Shahriar , M. R. C. Mahdy

The exciting discovery of topological condensed matter systems has lately triggered a search for their photonic analogs, motivated by the possibility of robust backscattering-immune light transport. However, topological photonic phases have…

Topological mosaic pattern (TMP) can be formed in two-dimensional (2D) moir\'e superlattices, a set of periodic and spatially separated domains with distinct topologies give rise to periodic edge states on the domain walls. In this study,…

Materials Science · Physics 2023-07-12 Haonan Wang , Li Yang

We elucidate that the diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Tsuneya Yoshida , Yasuhiro Hatsugai

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

Applied Physics · Physics 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

Topological photonics revolutionizes some of the traditional approaches to light propagation and manipulation, and it provides unprecedented means for developing novel photonic devices. Recently discovered higher-order topological phases go…

Applied Physics · Physics 2020-05-06 Yafeng Chen , Fei Meng , Yuri Kivshar , Baohua Jia , Xiaodong Huang