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We compare the various chirality measures most widely used in the literature to quantify chiral symmetry in extended solids, i.e., the continuous chirality measure, the Hausdorff distance, and the angular momentum. By studying these…

Materials Science · Physics 2026-02-09 Fernando Gómez-Ortiz , Mauro Fava , Emma E. McCabe , Aldo H. Romero , Eric Bousquet

Chirality, or handedness, is a geometrical property denoting a lack of mirror symmetry. Chirality is ubiquitous in nature and is associated with the non-reciprocal interactions observed in complex systems ranging from biomolecules to…

Quantum Physics · Physics 2024-08-08 Jonah S. Peter , Stefan Ostermann , Susanne F. Yelin

In chemistry and biochemistry, chirality represents the structural asymmetry characterized by non-superimposable mirror images for a material like DNA. In physics, however, chirality commonly refers to the spin-momentum locking of a…

Materials Science · Physics 2024-08-07 Binghai Yan

The presence of chirality in the main molecules of life may well be not just a structural artifact, but of pure biological advantage. The possibility of the existence of a phenomenon of a special mode of interaction, labeled as "chiral…

Biological Physics · Physics 2007-05-23 G. Gilat

Molecular chirality is a geometric property that is of great importance in chemistry, biology, and medicine. Recently, plasmonic nanostructures that exhibit distinct chiroptical responses have attracted tremendous interest, given their…

Optics · Physics 2021-05-17 Frank Neubrech , Mario Hentschel , Na Liu

We develop a family of chiral measures to quantify the chirality of a distribution and assign it a handedness. Our measures are built using the tensorial moments of the distribution, which naturally encode its spatial character, not only…

Data Analysis, Statistics and Probability · Physics 2026-03-31 Emilio Pisanty , Nicola Mayer , Andrés Ordóñez , Alexander Löhr , Margarita Khokhlova

Chirality is a universal feature in nature, as observed in fermion interactions and DNA helicity. Much attention has been given to chiral interactions of light, not only regarding its physical interpretation but also focusing on intriguing…

Optics · Physics 2016-09-12 Sunkyu Yu , Hyun Sung Park , Xianji Piao , Bumki Min , Namkyoo Park

In photoelectron circular dichroism (PECD) it is generally difficult to trace how and when the chirality of the molecule is imprinted onto the photoelectron. We present simulations of PECD in a simple model and employ chirality measures to…

Atomic Physics · Physics 2025-03-04 Marec W. Heger , Daniel M. Reich

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 manifests across multiple scales, yielding unique phenomena that break mirror symmetry. In chiral materials, unexpectedly large spin-filtering or photogalvanic effects have been observed even in materials composed of light…

The article seeks to formulate a synergetic law that is posited to be of common physicochemical and biological nature: an evolving system, possessing free energy and elements with chiral asymmetry may change the type of symmetry inside one…

Adaptation and Self-Organizing Systems · Physics 2012-12-10 Vsevolod A. Tverdislov

Chirality ubiquitously appears in nature, however, its quantification remains obscure owing to the lack of microscopic description at the quantum-mechanical level. We propose a way of evaluating chirality in terms of electric toroidal…

Materials Science · Physics 2024-05-22 Akane Inda , Rikuto Oiwa , Satoru Hayami , Hiroshi M Yamamoto , Hiroaki Kusunose

Chirality is a pervasive form of symmetry that is intimately connected to the physical properties of solids, as well as the chemical and biological activity of molecular systems. However, its control with light is challenging, because…

Materials Science · Physics 2025-06-13 Z. Zeng , M. Först , M. Fechner , M. Buzzi , E. Amuah , C. Putzke , P. J. W. Moll , D. Prabhakaran , P. Radaelli , A. Cavalleri

Chirality is an important concept that describes the asymmetry property of a system, which usually emerges spontaneously due to mirror symmetry breaking. Such spontaneous chirality manifests predominantly as parity breaking in modern…

Chirality is an intriguing property of certain molecules, materials or artificial nanostructures, which allows them to interact with the spin angular momentum of the impinging light field. Due to their chiral geometry, they can distinguish…

Optics · Physics 2016-11-03 Peter Banzer , Pawel Wozniak , Uwe Mick , Israel De Leon , Robert W. Boyd

Chiral phonons were initially proposed and further verified experimentally in two-dimensional (2D) hexagonal crystal lattices. Many intriguing features brought about by chiral phonons are attributed to the pseudo-angular momenta which are…

Materials Science · Physics 2021-11-10 Qianqian Wang , Si Li , Jiaojiao Zhu , Hao Chen , Weikang Wu , Weibo Gao , Lifa Zhang , Shengyuan A. Yang

A measure for the description of the chirality of triangles is introduced. The measure $X\delta$ is zero for triangles with at least one mirror axe, i.e. equilateral or isosceles triangles, and positive or negative for scalane, i.e. left or…

Mathematical Physics · Physics 2010-11-02 Haifeng Ma , Thomas Greber

Chirality is not just a structural artifact in biology but it may provide for a genuine biological advantage. This is due to the phenomenon of chiral interaction (CI) which is described here for mechanical-chiral devices. The main…

Biological Physics · Physics 2007-05-23 Gideon Gilat

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.…

The Four Fermi model with discrete chiral symmetry is studied in three dimensions at non-zero chemical potential and temperature using the Hybrid Monte Carlo algorithm. The number of fermion flavors is chosen large $(N_f=12)$ to compare…

High Energy Physics - Lattice · Physics 2009-10-22 Simon Hands , Aleksandar Kocic , John Kogut