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Gyroscopic metamaterials --- mechanical structures composed of interacting spinning tops --- have recently been found to support one-way topological edge excitations. In these structures, the time reversal symmetry breaking that enables…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

Periodic photonic structures enable precise control over the light-matter interaction through band structure engineering. Certain lattice geometries exhibit dispersionless flat bands, characterized by vanishing group velocity and diverging…

Spatial gaps correspond to the projection in position space of the gaps of a periodic structure whose envelope varies spatially. They can be easily generated in cold atomic physics using finite-size optical lattice, and provide a new kind…

Quantum Gases · Physics 2016-07-07 F. Damon , G. Condon , P. Cheiney , A. Fortun , B. Georgeot , J. Billy , D. Guery-Odelin

We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic crystals consisting of a background medium which is perforated…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee

Phononic crystals and metamaterials take advantage of pre-designed geometrical structures to sculpt elastic waves, controlling their dispersion using different mechanisms. These mechanisms revolve mostly around Bragg scattering (BS), local…

Applied Physics · Physics 2018-05-23 André Foehr , Osama R. Bilal , Sebastian D. Huber , Chiara Daraio

In this paper gradient based topology optimization (TO) is used to discover 3-D phononic structures that exhibit ultra-wide normalized all-angle all-mode band gaps. The challenging computational task of repeated 3-D phononic band-structure…

Materials Science · Physics 2017-01-27 Yan Lu , Yang Yang , James K. Guest , Ankit Srivastava

It is well-known that band gaps, in the frequency domain, can be achieved by using periodic metamaterials. However it has been challenging to design materials with broad band gaps or that have multiple overlapping band gaps. For periodic…

Classical Physics · Physics 2025-05-05 Paulo S. Piva , Art L. Gower , I. David Abrahams

2D dielectric photonic quasicrystals can be designed to show isotropic band gaps. The system here studied is a quasiperiodic lattice made of silicon dielectric cylinders arranged as periodic unit cell based on a decagonal approximant of a…

Optics · Physics 2021-07-21 Angel Andueza , Joaquin Sevilla , Jesus Perez-Conde , Kang Wang

The ability to manipulate two-dimensional (2D) electrons with external electric fields provides a route to synthetic band engineering. By imposing artificially designed and spatially periodic superlattice (SL) potentials, 2D electronic…

We study lightweight, elastic metamaterials consisting of tensegrity-inspired prisms, which present wide, low-frequency band gaps. For their realization, we alternate tensegrity elements with solid discs in periodic arrangements that we…

Metamaterials are arrangement of basic building blocks that repeat in space, time, or both. These material systems serve as an excellent platform for controlling waves, such as engineering wavenumber band gaps, flat bands, and…

Applied Physics · Physics 2026-01-13 Mohamed A. Elgamal , Osama R. Bilal

We demonstrate the existence of large phononic band gaps in designed hyperuniform (isotropic) disordered two-dimensional (2D) phononic structures of Pb cylinders in epoxy matrix. The phononic band gaps in hyperuniform disordered phononic…

Disordered Systems and Neural Networks · Physics 2017-04-05 George Gkantzounis , Timothy Amoah , Marian Florescu

We study two-dimensional photonic crystals composed of elliptical dielectric rods arranged according to stealthy hyperuniform point patterns. These patterns are characterized by the structure factor, which vanishes for 0 < |k| <= K, where k…

Optics · Physics 2025-10-24 Kota Asakura , Kazuki Yamamoto , Akihisa Koga

We report an experimental study of the elastic properties of a two-dimensional (2D) colloidal crystal subjected to light-induced substrate potentials. In agreement with recent theoretical predictions [H.H. von Gruenberg and J. Baumgartl,…

Soft Condensed Matter · Physics 2009-11-13 Joerg Baumgartl , Maria Zvyagolskaya , Clemens Bechinger

This manuscript puts forward and verifies an analytical approach to design phononic crystals that feature a bandgap at the lowest possible frequencies. This new approach is verified against numerical optimization. It rests on the exact form…

Applied Physics · Physics 2024-11-05 Javier González-Carbajal , Marius Lemm , Joaquin Garcia-Suarez

Serpentine interconnects are highly stretchable and frequently used in flexible electronic systems. In this work, we show that the undulating geometry of the serpentine interconnects will generate phononic band gaps to manipulate elastic…

Applied Physics · Physics 2017-10-11 Pu Zhang , William J. Parnell

In this work we show theoretically that it is possible to design a large band gap in the infrared range using a one-dimensional Photonic Crystal heterostructure made of porous silicon. Stacking together multiple photonic crystal…

We present general design principles for engineering and discovering periodic systems with flat bands. Our paradigm exploits spin-orbit assisted orbital frustration on a lattice to produce band structures that contain multiplets of narrowly…

Strongly Correlated Electrons · Physics 2023-03-02 Zachariah Addison , Nandini Trivedi

Piezoelectric elastic metamaterials offer the ability to overcome the fixed, narrow bandwidth characteristics of passive elastic metamaterials. Interesting ultrasonic band gaps exist in piezoelectric plate metamaterials with periodic…

Applied Physics · Physics 2022-07-19 David R. Schipf , Matthew D. Guild , Caleb F. Sieck

Periodicity is usually assumed to be the necessary and sufficient condition for the formation of band gaps, i.e., energy bands with a suppressed density of states. Here, we check this premise by analyzing the band gap properties of three…