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"Twisted particles" refer to non-plane-wave states of photons, electrons, hadrons, or any other particle which carry non-zero, adjustable orbital angular momentum with respect to their average propagation direction. Twisted photons and…

High Energy Physics - Phenomenology · Physics 2020-01-15 Igor P. Ivanov , Nikolai Korchagin , Alexandr Pimikov , Pengming Zhang

It is well known that spin angular momentum of light, and therefore that of photons, is directly related to their circular polarization. Naturally, for totally unpolarized light, polarization is undefined and the spin vanishes. However, for…

In developing strategies of manipulating surface electromagnetic waves, it has been recently recognized that a complete forbidden band gap can exist in a periodic surface-wave photonic crystal, which has subsequently produced various…

Optics · Physics 2016-06-28 Zhen Gao , Fei Gao , Youming Zhang , Hongyi Xu , Baile Zhang

Magnetic skyrmions are chiral quasiparticles that show promise for future spintronic applications such as skyrmion racetrack memories and logic devices because of their topological stability, small size (typically $\sim3-500$ nm), and…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Wenrui Yang , Huanhuan Yang , Yunshan Cao , Peng Yan

When light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state. A complete analysis of this process, based on the paraxial…

Quantum Physics · Physics 2011-02-08 Gabriel F. Calvo , Antonio Picón

With the rapid development of topological states in crystals, the study of topological states has been extended to quasicrystals in recent years. In this review, we summarize the recent progress of topological states in quasicrystals,…

Materials Science · Physics 2021-08-04 Jiahao Fan , Huaqing Huang

The notion of magnetic symmetry is reexamined in light of the recent observation of long range magnetic order in icosahedral quasicrystals [Charrier et al., Phys. Rev. Lett. 78, 4637 (1997)]. The relation between the symmetry of a…

Materials Science · Physics 2009-10-31 Ron Lifshitz

It has been recently recognized that in addition to the conventional longitudinal angular momentum, structured (inhomogeneous) optical fields exhibit helicity-independent transverse spin angular momentum (SAM) and an unusual spin (circular…

Optics · Physics 2018-07-13 Sudipta Saha , Nirmalya Ghosh , Subhasish Dutta Gupta

In this work, we define quasicrystalline spin networks as a subspace within the standard Hilbert space of loop quantum gravity, effectively constraining the states to coherent states that align with quasicrystal geometry structures. We…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Marcelo Amaral , Richard Clawson , Klee Irwin

We develop a general framework to study hyperuniformity of various mathematical models of quasicrystals. Using this framework we provide examples of non-hyperuniform quasicrystals which unlike previous examples are not limit-quasiperiodic.…

Mathematical Physics · Physics 2022-10-06 Michael Björklund , Tobias Hartnick

The discovery of quasicrystals has changed our view of some of the most basic notions related to the condensed state of matter. Before the age of quasicrystals, it was believed that crystals break the continuous translation and rotation…

Materials Science · Physics 2012-03-02 Ron Lifshitz

There is recurrent interest in the orbital angular momentum (OAM) conveyed by optical vortices, which are structured beams with a helically twisted wavefront. Particular significance is attached to the issue of how, in its interactions with…

Optics · Physics 2019-02-27 Kayn A. Forbes , David L. Andrews

Photons carrying non-zero orbital angular momentum (twisted photons) are well-known in optics. Recently, it was suggested to use Compton backscattering to boost optical twisted photons to high energies. Twisted electrons in the intermediate…

High Energy Physics - Phenomenology · Physics 2011-05-12 I. P. Ivanov

We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread out throughout the…

Computer Vision and Pattern Recognition · Computer Science 2009-07-22 Mark Grundland , Jiri Patera , Zuzana Masakova , Neil A. Dodgson

Quasicrystals are ubiquitous in nature. Beyond crystalline solids, they can be created as optically induced or technologically fabricated structures in photonic and phononic systems, as potentials for cold atoms and Bose-Einstein…

A structure model of atoms of two sizes, interacting with Lennard-Jones potentials and simulated by molecular dynamics, was observed to freeze into a decagonal quasicrystal dominated by Frank-Kasper coordination shells and closely related…

Condensed Matter · Physics 2009-10-28 Johannes Roth , Christopher L. Henley

We investigate particles in two-dimensional quasicrystalline interference patterns and present a method to determine for each particle at which phasonic displacement a phasonic flip occurs. By mapping all particles into characteristic areas…

Soft Condensed Matter · Physics 2020-05-14 Miriam Martinsons , Michael Schmiedeberg

Based on Monte-Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assumed to decrease exponentially with the distance between…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

Quasicrystals are characterized by atomic arrangements possessing long-range order without periodicity. Van der Waals (vdW) bilayers provide a unique opportunity to controllably vary atomic alignment between two layers from a periodic…

Hyperuniform systems, which include crystals, quasicrystals and special disordered systems, have attracted considerable recent attention, but rigorous analyses of the hyperuniformity of quasicrystals have been lacking because the support of…

Statistical Mechanics · Physics 2017-03-01 Erdal C. Oğuz , Joshua E. S. Socolar , Paul J. Steinhardt , Salvatore Torquato