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The relation between crystal symmetries, electron correlations, and electronic structure steers the formation of a large array of unconventional phases of matter, including magneto-electric loop currents and chiral magnetism. Detection of…

Chiral condensed matter systems, such as liquid crystals and magnets, exhibit a host of spatially localized topological structures that emerge from the medium's tendency to twist and its competition with confinement and field coupling…

Soft Condensed Matter · Physics 2020-05-07 Jung-Shen B. Tai , Ivan I. Smalyukh

Vortex phenomena are ubiquitous in nature, from vortices of quantum particles and living cells [1-7], to whirlpools, tornados, and spiral galaxies. Yet, effective control of vortex transport from one place to another at any scale has thus…

We investigate electromagnetic propagation in uniaxial dielectrics with a transversely varying orientation of the optic axis, the latter staying orthogonal everywhere to the propagation direction. In such a geometry, the field experiences…

Controlling and channelling light emissions from unpolarized quantum dots into specific directions with chiral polarization remains a key challenge in modern photonics. Stacked metasurface designs offer a potential compact solution for…

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

Controlling scattering and routing of chiral light at the nanoscale is important for optical information processing and imaging, quantum technologies as well as optical manipulation. Here, we introduce a concept of rotating chiral dipoles…

Optics · Physics 2025-09-25 Yuanyang Xie , Alexey V. Krasavin , Diane J. Roth , Anatoly V. Zayats

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

We demonstrate that chiral hinge modes naturally emerge in insulating crystals undergoing a slow cyclic evolution that changes the Chern-Simons axion angle $\theta$ by $2\pi$. This happens when the surface (not just the bulk) returns to its…

Materials Science · Physics 2020-08-05 Thomas Olsen , Tomáš Rauch , David Vanderbilt , Ivo Souza

Consider electromagnetic waves in two-dimensional {\it honeycomb structured media}. The properties of transverse electric (TE) polarized waves are determined by the spectral properties of the elliptic operator $\LA=-\nabla_\bx\cdot A(\bx)…

Mathematical Physics · Physics 2018-11-14 J. P. Lee-Thorp , M. I. Weinstein , Y. Zhu

We report on a non-linear scattering effect that challenges the notion of topological protection for wave packets propagating in chiral edge modes. Specifically, in a Floquet topological system close to resonant driving and with a…

Quantum Gases · Physics 2023-08-30 Benjamin Michen , Jan Carl Budich

A Weyl semimetal with a pair of Weyl nodes accommodates chiral states on its flat surface if the Weyl nodes are projected onto two different points in the corresponding surface Brillouin zone. These surface states are collectively referred…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Yositake Takane

Chiral active liquids exhibit unidirectional edge currents when confined to simple geometries, but the origin of this phenomenon has defied explanation. Starting from the microscopic equations of motion of a simple two-dimensional model, we…

Soft Condensed Matter · Physics 2026-03-20 Faisal Alsallom , David T. Limmer

We develop an analytical theory for edge states in monolayers of transition metal dichalcogenides based on a general boundary condition for a two-band ${\bf kp}$-Hamiltonian in case of uncoupled valleys. Taking into account {\it edge}…

Mesoscale and Nanoscale Physics · Physics 2017-12-22 V. V. Enaldiev

We study here fractional orbital angular momentum (OAM) states in electron vortex beams (EVB) from the perspective of geometric phase. We have considered the skyrmionic model of an electron, where it is depicted as a scalar electron…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Pratul Bandyopadhyay , Banasri Basu , Debashree Chowdhury

Minimally twisted bilayer graphene in the presence of an interlayer bias develops a triangular network of valley chiral modes that propagate along the $AB/BA$ interfaces and scatter at the $AA$ regions. The low energy physics of the…

Mesoscale and Nanoscale Physics · Physics 2023-12-07 P. Wittig , F. Dominguez , C. De Beule , P. Recher

We present a new theory for orbital angular momentum (OAM) generation by chaotic phase surfaces with discrete integer bias distributions. We derive fundamental selection rules that determine which OAM modes can be coherently generated. Our…

Optics · Physics 2025-07-15 Netzer Moriya

We study how the topological properties of a one-dimensional staggered lattice, loaded into states with orbital angular momentum $l=1$, can be controlled simply by tuning the relative angle between sites. The original system under…

Quantum Gases · Physics 2026-05-07 Yunjia Zhai , Anselmo M. Marques , Ricardo G. Dias , Verònica Ahufinger , David Viedma

We study the appearance of a chiral edge mode on the two-dimensional (2D) surface of a 3D topological insulator (TI). The edge mode appears along the 1D boundary with a magnetic insulator (MI), dependent on the angle $\theta$ which the…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 C. W. J. Beenakker

Recently, non-reciprocal two-dimensional unitary scattering networks have gained considerable interest due to the possibility of obtaining robust edge wave propagation in the anomalous Floquet phase. Conversely, zero-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 Haoye Qin , Zhe Zhang , Qiaolu Chen , Romain Fleury
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