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Photonic band gap (PBG) materials are attractive for cavity QED experiments because they provide extremely small mode volumes and are monolithic, integratable structures. As such, PBG cavities are a promising alternative to Fabry-Perot…

Quantum Physics · Physics 2009-11-07 JM Geremia , Jon Williams , Hideo Mabuchi

We calculate the photonic band gap of triply periodic bicontinuous cubic structures and of tubular structures constructed from the skeletal graphs of triply periodic minimal surfaces. The effect of the symmetry and topology of the periodic…

Materials Science · Physics 2009-11-10 K. Michielsen , J. S. Kole

We analyze the phonon spectra of periodic structures formed by two-dimensional mixtures of dipolar colloidal particles. These mixtures display an enormous variety of complex ordered configurations [J. Fornleitner {\it et al.}, Soft Matter…

Soft Condensed Matter · Physics 2013-05-29 J. Fornleitner , G. Kahl , C. N. Likos

We introduce a new class of functional correlated disordered materials, termed Gyromorphs, which uniquely combine liquid-like translational disorder with quasi-long-range rotational order, induced by a ring of $G$ delta peaks in their…

Statistical Mechanics · Physics 2025-11-10 Mathias Casiulis , Aaron Shih , Stefano Martiniani

In recent years there has been a great interest in topological materials and in their fascinating properties. Topological band theory was initially developed for condensed matter systems, but it can be readily applied to arbitrary wave…

Optics · Physics 2022-10-05 Filipa R. Prudêncio , Mário G. Silveirinha

We study the bandgap structure of two-dimensional photonic crystals created by a triangular lattice of rotated hexagonal holes, and explore the effects of the reduced symmetry in the unit-cell geometry on the value of the absolute bandgap…

Classical Physics · Physics 2007-05-23 Aaron F. Matthews , Sergei F. Mingaleev , Yuri S. Kivshar

Among the remarkable scattering properties of correlated disordered materials, the origin of pseudo-gaps and the formation of localized states are some of the most puzzling features. Fundamental differences between scalar and vector waves…

Disordered Systems and Neural Networks · Physics 2021-10-26 R. Monsarrat , R. Pierrat , A. Tourin , A. Goetschy

In this letter we study metamaterials made out of resonant electric wires arranged on a spatial scale much smaller than the free space wavelength and we show that they present a hybridization band that is insensible to positional disorder.…

Optics · Physics 2018-09-28 Nadège Kaina , Fabrice Lemoult , Mathias Fink , Geoffroy Lerosey

Long range order and symmetry in heterogeneous materials architected on crystal lattices lead to elastic and inelastic anisotropies and thus limit mechanical functionalities in particular crystallographic directions. Here, we present a…

Soft Condensed Matter · Physics 2025-11-17 Jehoon Moon , Gisoo Lee , Jaehee Lee , Hansohl Cho

The hyperuniformity concept provides a unified means to classify all perfect crystals, perfect quasicrystals, and exotic amorphous states of matter according to their capacity to suppress large-scale density fluctuations. While the…

Statistical Mechanics · Physics 2021-01-27 Jaeuk Kim , Salvatore Torquato

Motivated by anomalously large conductivity anisotropy in layered materials, we propose a simple model of randomly spaced potential barriers (mimicking stacking faults) with isotropic impurities in between the barriers. We solve this model…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dmitrii L. Maslov , Vladimir I. Yudson , Andres M. Somoza , Miguel Ortuño

We consider layered heterostructures combining ordinary positive index materials and dispersive metamaterials. We show that these structures can exhibit a new type of photonic gap around frequencies where either the magnetic permeability…

We present a framework for achieving broadband perfect wave transmission in complex systems by optimizing symmetric disordered media via inverse design. We show that leveraging symmetry of complex media reduces the optimization's complexity…

Hyperuniform point patterns are characterized by vanishing infinite wavelength density fluctuations and encompass all crystal structures, certain quasi-periodic systems, and special disordered point patterns. This article generalizes the…

Statistical Mechanics · Physics 2015-05-14 Chase E. Zachary , Salvatore Torquato

Plasmons, collective excitations of electrons in solids, are associated with strongly confined electromagnetic fields, with wavelengths far below the wavelength of photons in free space. This strong confinement promises the realization of…

Disordered hyperuniformity (DHU) is a recently proposed new state of matter, which has been observed in a variety of classical and quantum many-body systems. DHU systems are characterized by vanishing infinite-wavelength density…

Disordered Systems and Neural Networks · Physics 2019-11-11 Yu Zheng , Lei Liu , Hanqing Nan , Zhen-Xiong Shen , Ge Zhang , Duyu Chen , Lixin He , Wenxiang Xu , Mohan Chen , Yang Jiao , Houlong Zhuang

Non-iridescent structural colors based on disordered arrangement of monodisperse spherical particles, also called photonic glass, show low color saturation due to gradual transition in reflectivity. No significant improvement is usually…

Disordered many-particle hyperuniform systems are exotic amorphous states characterized by anomalous suppression of large-scale density fluctuations. Here we substantially broaden the hyperuniformity concept along four different directions.…

Disordered Systems and Neural Networks · Physics 2016-08-24 Salvatore Torquato

The scientific community has witnessed tremendous expansion of research on layered (i.e. two-dimensional, 2D) materials, with increasing recent focus on applications to photonics. Layered materials are particularly exciting for manipulating…

Materials Science · Physics 2020-11-17 Akshay Singh , Seong Soon Jo , Yifei Li , Changming Wu , Mo Li , R. Jaramillo

We demonstrate that a hexagonal two dimensional photonic crystal can act as an isotropic medium with an effective refractive index n_eff = -1, therefore capable of unrestricted superlensing. We study the superlensing by calculating the…

Materials Science · Physics 2009-11-10 X. Wang , K. Kempa