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Topological interface states in one-dimensional superlattices provide spatially localized phonon modes protected by the topology of the underlying band structure. In GaAs/AlAs distributed Bragg reflectors (DBRs), such states can be…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 S. Sandeep , O. Colmegna , C. Xiang , E. R. Cardozo de Oliveira , K. Papatryfonos , M. Morassi , A. Lemaitre , N. D. Lanzillotti-Kimura

We present a systematic and rigorous analytical approach, based on the transfer matrix methodology, to study the existence, evolution, and robustness of subwavelength topological interface states in practical multilayered vibroacoustic…

Applied Physics · Physics 2024-10-07 Majdi O. Gzal , Joshua R. Tempelman , Kathryn H. Matlack , Alexander F. Vakakis

Nanophononics is essential for the engineering of thermal transport in nanostructured electronic devices, it greatly facilitates the manipulation of mechanical resonators in the quantum regime, and could unveil a new route in quantum…

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

Interface modes have been widely explored in the field of electronics, optics, acoustics and nanophononics. One strategy to generate them is band inversion in one-dimensional superlattices. Most realizations of this type of topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 O. Ortiz , P. Priya , A. Rodriguez , A. Lemaitre , M. Esmann , N. D. Lanzillotti-Kimura

The topological invariants of a periodic system can be used to define the topological phase of each band and determine the existence of topological interface states within a certain bandgap. Here, we propose a scheme based on the full phase…

High-order topological insulators (TIs) develop the conventional bulk-boundary correspondence theory and rise the interest in searching innovative topological materials. To realize a high-order TI with a wide passband of 1D and 2D…

Applied Physics · Physics 2022-12-02 Fei Meng , Yafeng Chen , Weibai Li , Baohua Jia , Xiaodong Huang

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung

Topological systems furnish a powerful way of localizing wave energy at edges of a structured material. Usually this relies on Bragg scattering to obtain bandgaps with nontrivial topological structures. However, this limits their…

Classical Physics · Physics 2022-06-15 Antonin Coutant , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

In analogous to the Su-Schrieffer-Heeger (SSH) model, one-dimensional (1D) electromagnetic (EM) crystals can exhibit nontrivial topological properties. In particular, when a nontrivial EM crystal is in contact with its trivial counterpart,…

Optics · Physics 2023-01-11 C. Liu , H. C. Ong

Topological phononic crystals have attracted intensive attention due to their peculiar topologically protected interface or edge states. Their operating frequency, however, is generally fixed once designed and fabricated. Here, we propose…

Soft Condensed Matter · Physics 2021-07-23 Yingjie Chen , Bin Wu , Jian Li , Stephan Rudykh , Weiqiu Chen

Topological insulators exhibit boundary states protected by bulk band topology, a principle first established in quantum systems and later extended to classical waves, including phononics. Conventionally, an $n$-dimensional bulk with…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Joel R. Pyfrom , Kai Sun , Jihong A. Ma

Topological states, known for their robustness against disorder, offer promising avenues for disorder-resistant devices. However, their intrinsic spatial confinement at interfaces imposes geometric constraints that limit the scalability of…

Optics · Physics 2026-05-01 Rui Dong , Changhui Shen , Changqing Xu , Yun Lai , Ce Shang

Multi-band topological states enable robust and versatile wave manipulation across a variety of physical platforms. However, the emergence of multi-band topological states has relied on higher-frequency modes with complex spatial profiles,…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Keita Funayama , Kenichi Yatsugi , Hideo Iizuka

Band topology has emerged as a novel tool for material design across various domains, including photonic and phononic systems, and metamaterials. A prominent model for band topology is the Su-Schrieffer-Heeger (SSH) chain, which reveals…

Other Condensed Matter · Physics 2024-08-20 Yeongtae Jang , Seokwoo Kim , Eunho Kim , Junsuk Rho

Topological interface states are currently attracting rapidly growing attention in classical wave systems. However, little work has been done on topological interface states in one-dimensional (1D) elastic wave systems, especially in the…

Applied Physics · Physics 2024-09-20 Pan Li , Wenping Hu , Pai Peng , Xuefeng Zhu , Degang Zhao

Inspired by concepts developed for fermionic systems in the framework of condensed matter physics, topology and topological states are recently being explored also in bosonic systems. The possibility of engineering systems with…

The possibility to tune the functional properties of nanomaterials is key to their technological applications. Superlattices, i.e., periodic repetitions of two or more materials in different dimensions are being explored for their potential…

The search of new means of generating and controlling topological states of matter is at the front of many joint efforts, including bandgap engineering by doping and light-induced topological states. Most of our understading, however, is…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Hernan L. Calvo , Javier S. Luna , Virginia Dal Lago , Luis E. F. Foa Torres

Topological photonics holds the promise for enhanced robustness of light localization and propagation enabled by the global symmetries of the system. While traditional designs of topological structures rely on lattice symmetries, there is…

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