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Disorder hyperuniformity (DHU) is a recently discovered exotic state of many-body systems that possess a hidden order in between that of a perfect crystal and a completely disordered system. Recently, this novel DHU state has been observed…

Materials Science · Physics 2023-11-14 Houlong Zhuang , Duyu Chen , Lei Liu , Ge Zhang , Yang Jiao

Hyperuniform structures are spatial patterns whose fluctuations disappear on long length scales, making them effectively homogeneous when observed from afar. Mathematically, this means that their spectral density, $\tilde{\rho}({\bf k})$,…

Order versus disorder in the structure of materials plays a key role in the theoretical prediction of their properties. However, this structural description appears to be ineffective for new families of materials such as high entropy alloys…

Disordered hyperuniform (DHU) materials are an emerging class of exotic heterogeneous material systems characterized by a unique combination of disordered local structures and a hidden long-range order, which endow them with unusual…

Materials Science · Physics 2025-04-11 Liyu Zhong , Sheng Mao , Yang Jiao

Many of the most exciting materials discoveries in fundamental condensed matter physics are made in systems hosting some degree of intrinsic disorder. While disorder has historically been regarded as something to be avoided in materials…

Strongly Correlated Electrons · Physics 2024-06-19 A. R. Mazza , J. Yan , S. Middey , J. S. Gardner , A. -H. Chen , M. Brahlek , T. Z. Ward

Recently, complex wavefront engineering with disordered media has demonstrated optical manipulation capabilities beyond those of conventional optics. These capabilities include extended volume, aberration-free focusing and subwavelength…

We study the propagation of waves in a set of absorbing subwavelength scatterers positioned on a stealth hyperuniform point pattern. We show that spatial correlations in the disorder substantially enhance absorption compared to a fully…

Optics · Physics 2019-03-27 Florian Bigourdan , Romain Pierrat , Rémi Carminati

We study Anderson localization of waves in a one dimensional disordered meta-material of bilayers comprising of thin fixed length scatterers placed randomly along a homogenous medium. As an interplay between order and disorder, we identify…

Disordered Systems and Neural Networks · Physics 2018-07-11 Nitin Upadhyaya , Ariel Amir

Wave propagation in complex media is a universal problem spanning optics, acoustics, mechanics, and condensed matter physics. While disorder usually causes strong scattering, recent theory predicts that a special class of correlated…

Soft Condensed Matter · Physics 2026-02-10 Angélique Campaniello , Rémi Carminati , Marcel Filoche , Emmanuel Fort

In recent decades, scientists have developed the means to engineer synthetic periodic arrays with feature sizes below the wavelength of light. When such features are appropriately structured, electromagnetic radiation can be manipulated in…

Mesoscale and Nanoscale Physics · Physics 2018-11-12 Justin C. W. Song , Nathaniel M. Gabor

Disordered hyperuniform many-body systems are distinguishable states of matter that lie between a crystal and liquid: they are like perfect crystals in the way they suppress large-scale density fluctuations and yet are like liquids or…

Soft Condensed Matter · Physics 2016-09-21 Salvatore Torquato

Twist-engineering of the electronic structure of van-der-Waals layered materials relies predominantly on band hybridization between layers. Band-edge states in transition-metal-dichalcogenide semiconductors are localized around the metal…

Disorder in crystals is rarely random, and instead involves local correlations whose presence and nature are hidden from conventional crystallographic probes. This hidden order can sometimes be controlled, but its importance for physical…

Materials Science · Physics 2023-10-05 Nikolaj Roth , Andrew L. Goodwin

Disorder plays a critical role in signal transport, by controlling the correlation of systems. In wave physics, disordered potentials suppress wave transport due to their localized eigenstates from random-walk scattering. Although the…

Optics · Physics 2016-10-18 Sunkyu Yu , Xianji Piao , Jiho Hong , Namkyoo Park

We explore the interplay of a charge density wave (CDW) order and s-wave superconductivity (sSC) in a disordered system. Recent experiments on 1T-TiSe_2, where the pristine sample has a commensurate CDW order and the superconductivity…

Superconductivity · Physics 2018-10-03 Anurag Banerjee , Arti Garg , Amit Ghosal

Metasurfaces play a key role in functionalizing light at the nanoscale. Existing dielectric metasurfaces, however, are often limited to geometric primitives and their usage in emergent hybrid metasurfaces is hampered as confinement of light…

Using a large-N approach, we study the effect of disorder in the Kondo-screened phase of heavy-fermion materials. We demonstrate that the strong feedback between the hybridization and the conduction electron charge density magnifies the…

Strongly Correlated Electrons · Physics 2013-10-30 Francesco Parisen Toldin , Jeremy Figgins , Stefan Kirchner , Dirk K. Morr

We examine some of the optical properties of a metamaterial consisting of thin layers of alternating metal and dielectric. We can model this material as a homogeneous effective medium with anisotropic dielectric permittivity. When the…

Optics · Physics 2009-11-13 B. Wood , J. B. Pendry , D. P. Tsai

Disordered metasurfaces provide a versatile platform for harnessing near- and far-field scattered light. Most research has focused on either particulate topologies composed of individual, well-identified metaatoms or, to a lesser extent,…

In this paper, we focus on the sub-wavelength resonances in two-dimensional elastic media characterized by high contrasts in both Lam\'e parameters and density. Our contributions are fourfold. First, it is proved that the operator…

Analysis of PDEs · Mathematics 2026-01-21 Yan Jiang , Hongyu Liu , Fanbo Sun , Yajuan Wang