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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

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

The operating frequency range of passive topological phononic crystals is generally fixed and narrow, limiting their practical applications. To overcome this difficulty, here we design and investigate a one-dimensional soft dielectric…

Soft Condensed Matter · Physics 2022-10-25 Yingjie Chen , Bin Wu , Michel Destrade , Weiqiu Chen

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

Topological phononic crystals, alike their electronic counterparts, are characterized by a bulk-edge correspondence where the interior of a material dictates the existence of stable surface or boundary modes. In the mechanical setup, such…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Roman Süsstrunk , Sebastian D. Huber

Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simply Z_SL…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 Meng Xiao , Z. Q. Zhang , C. T. Chan

Phonon transmission across an interface between dissimilar crystalline solids is calculated using molecular dynamics simulations with interatomic force constants obtained from first principles. The results reveal that although inelastic…

Computational Physics · Physics 2015-06-09 Takuru Murakami , Takuma Hori , Takuma Shiga , Junichiro Shiomi

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 crystalline insulators are a class of materials with a bulk energy gap and edge or surface modes, which are protected by crystalline symmetry, at their boundaries. They have been realized in electronic systems: in particular, in…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 Jian-Xiao Zhang , Mikael C. Rechtsman , Chao-Xing Liu

The bulk-boundary correspondence, which relates topological properties of a material in the bulk to the presence of robust modes localized on the edge, is at the core of the now mature field of topological wave physics. More recently, it…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Renaud Cote , Marc Pachebat , Antonin Coutant

In this work we theoretically study the interface acoustic states of resonators on a thin plate with topologically protected and conventional designs. Topologically protected interface state is first analyzed by employing the conception of…

Materials Science · Physics 2018-09-12 Yabin Jin , Daniel Torrent , Bahram Djafari-Rouhani

It is well known that an interface created by two topologically distinct structures could host nontrivial edge states that are immune to defects. In this letter, we introduce a one-dimensional space-time phononic crystal and study the…

Classical Physics · Physics 2020-01-20 Mourad Oudich , Yuanchen Deng , Molei Tao , Yun Jing

Symmetry-protected topological phases protected by crystalline symmetries and internal symmetries are shown to enjoy a fascinating one-to-one correspondence in classification. Here we investigate the physics content behind the abstract…

Strongly Correlated Electrons · Physics 2026-05-07 Jian-Hao Zhang , Shang-Qiang Ning

Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface)waves are…

Applied Physics · Physics 2021-04-28 Weijian Zhou , Weiqiu Chen , Michel Destrade , C. W. Lim

We report the design of silica-based 1D phononic crystals (PnCs) with topologically distinct complete phononic bandgaps (PnBGs) and the observation of a topologically protected state of elastic waves at their interface. By choosing…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Ingi Kim , Satoshi Iwamoto , Yasuhiko Arakawa

We derive a series of quantitative bulk-boundary correspondences for 3D bosonic and fermionic symmetry-protected topological (SPT) phases under the assumption that the surface is gapped, symmetric and topologically ordered, i.e., a…

Strongly Correlated Electrons · Physics 2021-08-18 Shang-Qiang Ning , Bin-Bin Mao , Zhengqiao Li , Chenjie Wang

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 photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

The existence of topologically protected edge modes is often cited as a highly desirable trait of topological insulators. However, these edge states are not always present. A realistic physical treatment of long range hopping in a…

Mesoscale and Nanoscale Physics · Physics 2019-12-30 Simon R. Pocock , Paloma A. Huidobro , Vincenzo Giannini

The existence of topological interface states is investigated at the boundary between a binary photonic crystal and a quaternary photonic crystal, with each possessing inversion symmetric unit cells. Conditions are established that describe…

Optics · Physics 2019-10-08 Nicholas J. Bianchi , Leonard M. Kahn
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