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Electron chirality has been proposed as a microscopic quantity that characterizes electronic handedness, yet its underlying control parameter has not been clearly identified. Furthermore, its applicability is limited to systems with…

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

The fundamental issues of symmetry related to chirality are discussed and applied to simple situations relevant to liquid crystals. We show that any chiral measure of a geometric object is a pseudoscalar (invariant under proper rotations…

Statistical Mechanics · Physics 2009-10-31 A. B. Harris , Randall D. Kamien , T. C. Lubensky

The occurrence of biological homochirality is attributed to symmetry breaking mechanisms which are still debatable1. Studies of symmetry breaking require tools for monitoring the population ratios of individual chiral nano-objects, such as…

Optics · Physics 2018-08-20 Eitam Vinegrad , Uri Hananel , Gil Markovich , Ori Cheshnovsky

Chirality in inorganic nanoparticles and nanostructures has gained increasing scientific interest, because of the possibility to tune their ability to interact differently with left- and right-handed circularly polarized light. In some…

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

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

Chirality, or handedness, enters astrophysics in three distinct ways. Magnetic field and vortex lines tend to be helical and have a systematic twist in the northern and southern hemispheres of a star or a galaxy. Helicity is here driven by…

Solar and Stellar Astrophysics · Physics 2022-05-06 Axel Brandenburg

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

The scalar spin chirality is a three-body physical observable that plays an outstanding role both in classical magnetism, characterizing non-coplanar spin textures, and in quantum magnetism, as an order parameter for chiral spin liquids. In…

Quantum Physics · Physics 2023-06-30 L. I. Reascos , Bruno Murta , E. F. Galvão , J. Fernández-Rossier

The development of quantitative methods for characterizing molecular chirality can provide an important tool for studying chirality induced phenomena in molecular systems. Significant progress has been made in recent years toward…

Chemical Physics · Physics 2025-03-06 Jichen Feng , Ethan Abraham , Joseph Subotnik , Abraham Nitzan

Colloidal crystal structures with complexity and diversity rivaling atomic and molecular crystals have been predicted and obtained for hard particles by entropy maximization. However, so far homochiral colloidal crystals, which are…

Soft Condensed Matter · Physics 2015-10-13 Pablo F. Damasceno , Andrew S. Karas , Benjamin A. Schultz , Michael Engel , Sharon C. Glotzer

Chiral objects rotate when placed in a collimated flow or wind. We exploit this hydrodynamic intuition to construct a tensorial chirality measure for rigid filaments and curves. This tensor is trace-free, so if a curve has a right-handed…

Soft Condensed Matter · Physics 2020-04-23 Giovanni Dietler , Robert Kusner , Wöden Kusner , Eric Rawdon , Piotr Szymczak

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

Chirality occupies a central role in fields ranging from biological self-assembly to the design of optical metamaterials. The definition of chirality, as given by Lord Kelvin, associates chirality with the lack of mirror symmetry: the…

Soft Condensed Matter · Physics 2014-01-21 Efi Efrati , William T. M. Irvine

Chirality in polymeric systems enables a wide range of emergent optical, mechanical, and transport phenomena, yet a unified framework that quantitatively connects molecular-scale geometry to chiral behavior remains lacking. Existing…

Soft Condensed Matter · Physics 2026-02-20 Michael Grant , Poornima Padmanabhan

Detection of chiral molecules requires amplification of chirality to measurable levels. Typically, amplification mechanisms are considered at the microscopic scales of individual molecules and their aggregates. Here we demonstrate chirality…

Soft Condensed Matter · Physics 2015-07-28 Chenhui Peng , Oleg D. Lavrentovich

Chirality, or handedness, is a topic that is common in biology and chemistry, yet is rarely discussed in physics courses. We provide a way of introducing the topic in classical physics, and demonstrate the merits of its inclusion - such as…

Popular Physics · Physics 2020-06-17 Chris L. Lin

A phase transition can drive the spontaneous emergence of chiral orders in crystals below a critical temperature. However, selecting either a right- or a left-handed phase with the aid of electromagnetic fields is challenging, particularly…

Materials Science · Physics 2025-03-11 Mauro Fava , Aldo H. Romero , Eric Bousquet

We present the first three-dimensional helicity maps of fully developed turbulence obtained through chirality tomography, a Lagrangian voxel-based method that reconstructs helicity density from particle trajectories. Our approach builds on…

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