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An object is chiral when its symmetry group contains no indirect isometry. It can be difficult to classify isometries as direct or indirect, except in the Euclidean case. We classify them with the help of outer semidirect products of…

Mathematical Physics · Physics 2022-03-09 Michel Petitjean

Light interacts differently with left and right handed three dimensional chiral objects, like helices, and this leads to the phenomenon known as optical activity. Here, by applying a polarization tomography, we show experimentally, for the…

Optics · Physics 2015-05-18 A. Drezet , C. Genet , J. -Y. Laluet , T. W. Ebbesen

Chirality is a pervasive property of matter that underpins many important phenomena across physics, chemistry and biology. Given its broad significance, the development of protocols for rational control of chirality in solid state systems…

Materials Science · Physics 2025-10-27 Z. Zeng , M. Först , M. Fechner , X. Deng , A. Cavalleri , P. G. Radaelli

A clear understanding of chirality in spin-active electronic states is discussed in order to address confusions about chiral effects recently discovered in materials science. Electronic toroidal monopole $G_0$ can serve as a measure of…

Materials Science · Physics 2024-09-12 Hiroaki Kusunose , Jun-ichiro Kishine , Hiroshi M. Yamamoto

Chirality is a ubiquitous phenomenon in which a symmetry between left- and right-handed objects is broken, examples in nature ranging from subatomic particles and molecules to living organisms. In particle physics, the weak force is…

Chirality is a fundamental concept in physics that underpins various phenomena in nonlinear optics, quantum physics, and topological photonics. Although the spin of a photon naturally brings chirality, orbital angular momentum can also…

Chirality refers to a geometric phenomenon in which objects are not superimposable on their mirror image. Structures made of nano-scale chiral elements can display chiroptical effects, such as dichroism for left- and right- handed…

Optics · Physics 2020-02-25 Behrooz Semnani , Jeremy Flannery , Rubayet Al Maruf , Michal Bajcsy

Fundamental studies of the interaction of chiral light with chiral matter are important for the development of techniques that allow handedness-selective optical detection of chiral organic molecules. One approach to achieve this goal is…

Topology, a well-established concept in mathematics, has nowadays become essential to describe condensed matter. At its core are chiral electron states on the bulk, surfaces and edges of the condensed matter systems, in which spin and…

Materials Science · Physics 2022-05-13 Claudia Felser , Johannes Gooth

Chirality information (i.e. information that allows distinguishing left from right) is ubiquitous for various data modes in computer vision, including images, videos, point clouds, and meshes. While chirality has been extensively studied in…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Weikang Wang , Tobias Weißberg , Nafie El Amrani , Florian Bernard

From the fundamental requirement of causality, we derive a rigorous criterion of negative refraction (left-handedness). This criterion imposes the lower limits on the electric and magnetic losses in the region of the negative refraction. If…

Materials Science · Physics 2007-05-23 Mark I. Stockman

Chirality plays an important role in physics, chemistry, biology, and other fields. It describes an essential symmetry in structure. However, chirality invariants are usually complicated in expression or difficult to evaluate. In this…

Computational Physics · Physics 2017-12-22 He Zhang , Hanlin Mo , You Hao , Shirui Li , Hua Li

Chirality is probably the most mysterious among all symmetry transformations. Very readily broken in biological systems, it is practically absent in naturally occurring inorganic materials and is very challenging to create artificially.…

Chiral phonons have been proposed to be involved in various physical phenomena, yet the chirality of molecular normal modes has not been well defined mathematically. Here we examine two approaches for assigning and quantifying the chirality…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Ethan Abraham , Abraham Nitzan

We analyze how chirality can generate pulling optical forces and left-handed torques by cross-coupling linear-to-angular momenta between the light field and the chiral object. In the dipolar regime, we reveal that such effects can emerge…

Optics · Physics 2015-03-10 Antoine Canaguier-Durand , Cyriaque Genet

We propose a method to perform a configuration determination for chiral and/or polar crystals by utilizing anisotropy of NMR shift. The chirality (handedness) or polarity of a crystal, that is characterized by its sign, can be extracted…

Materials Science · Physics 2023-11-14 Hiroaki Kusunose , Jun Kikuchi

Chirality, a fundamental concept describing an object cannot superpose with its mirror image, is crucial in optics and photonics and leads to various exotic phenomena, such as circular dichroism, and optical activity. Recent findings reveal…

Optics · Physics 2025-01-13 Shijie Kang , Haitao Li , Jiayu Fan , Jiusi Yu , Boyang Qu , Peng Chen , Xiaoxiao Wu

Chirality-induced spin selectivity (CISS) describes how chiral molecules and materials generate spin polarization even at thermal equilibrium. This observation has challenged established principles of microscopic reversibility and Onsager…

Strongly Correlated Electrons · Physics 2025-10-29 Pius M. Theiler , Matthew C. Beard

A robust route for the biased production of single-handed chiral structures has been found in generating non-spherical, multi-component double emulsions using microfluidics. The specific type of handedness is determined by the final packing…

Soft Condensed Matter · Physics 2018-04-20 Laura L. A. Adams , Samuel A. Ocko

Chirality or handedness in condensed matter induces anomalous optical responses such as natural optical activity, rotation of the plane of light polarization, as a result of breaking of spatial-inversion symmetry. In this study, optical…

Mesoscale and Nanoscale Physics · Physics 2018-05-11 Hideo Kawaguchi , Gen Tatara