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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

Topological defects (including disclinations and dislocations) which commonly exist in various materials have shown an amazing ability to produce excellent mechanical and physical properties of matters. In this paper, disclinations and…

Materials Science · Physics 2021-02-16 Baizhan Xia , Liang Tong , Jie Zhang , Shengjie Zheng , Xianfeng Man

We study a crystal composed of active units governed by self-alignment and chirality. The first mechanism acts as an effective torque that aligns the particle orientation with its velocity, while the second drives individual particles along…

Soft Condensed Matter · Physics 2025-11-14 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

Colloids dispersed in nematic liquid crystals form topological composites in which colloid-associated defects mediate interactions while adhering to fundamental topological constraints. Better realising the promise of such materials…

Soft Condensed Matter · Physics 2024-04-16 Louise C. Head , Yair A. G. Fosado , Davide Marenduzzo , Tyler N. Shendruk

Crystal defects crucially influence the properties of crystalline materials and have been extensively studied. Even for the simplest type of defect - the point defect - however, basic properties such as their diffusive behavior, and their…

Soft Condensed Matter · Physics 2024-06-05 Max P. M. Schelling , Janne-Mieke Meijer

Colloids are abundant in nature, science and technology, with examples ranging from milk to quantum dots and the "colloidal atom" paradigm. Similarly, liquid crystal ordering is important in contexts ranging from biological membranes to…

Soft Condensed Matter · Physics 2017-12-29 Ivan I. Smalyukh

Classical elasticity is concerned with bodies that can be modeled as smooth manifolds endowed with a reference metric that represents local equilibrium distances between neighboring material elements. The elastic energy associated with a…

Materials Science · Physics 2015-06-30 Raz Kupferman , Michael Moshe , Jake P. Solomon

With the first detections of binary neutron star mergers by gravitational-wave detectors, it proves timely to consider how the internal structure of neutron stars affects the way in which they can be asymmetrically deformed. Such…

High Energy Astrophysical Phenomena · Physics 2020-05-27 Fabian Gittins , Nils Andersson , Jonas P. Pereira

Electromagnetic topological insulators have been explored extensively due to the robust edge states they support. In this work, we propose a topological electromagnetic system based on a line defect in topologically nontrivial photonic…

Optics · Physics 2019-08-27 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

Quasi-crystals are aperiodic structures that present crystallographic properties which are not compatible with that of a single unit cell. Their revolutionary discovery in a metallic alloy, less than three decades ago, has required a full…

Hopfions, three-dimensional topological solitons characterized by nontrivial Hopf indices, represent a fundamental class of field configurations that emerge across diverse areas of physics. Despite extensive studies of isolated hopfions, a…

Strongly Correlated Electrons · Physics 2025-12-02 Wen-Tao Hou , Zhuoxian Xiang , Yizhou Liu , Jiadong Zang

The kinetics of phase transition processes often governs the resulting material microstruc-ture. Using optical microscopy, we here investigate the formation and stabilization of a po-rous crystalline microstructure forming in low-salt…

Soft Condensed Matter · Physics 2023-06-23 Nina Lorenz , Christopher Wittenberg , Thomas Palberg

We report a detailed theoretical analysis of novel quadrupolar interactions observed between islands, which are disk-like inclusions of extra layers, floating in thin, freely suspended smectic C liquid crystal films. Strong tangential…

Defects in liquid crystals are of great practical importance and theoretical interest. Despite tremendous efforts, predicting the location and transition of defects under various topological constraint and external field remains to be a…

Soft Condensed Matter · Physics 2014-08-27 Yucheng Hu , Yang Qu , Pingwen Zhang

Liquid-crystalline ordering in vertically vibrated granular monolayers confined in annuli of different sizes is examined. The annuli consist of circular cavities with a central circular obstruction. In the absence of the central obstruction…

Soft Condensed Matter · Physics 2020-09-18 Ariel Díaz-De Armas , Martín Maza-Cuello , Yuri Martínez-Ratón , Enrique Velasco

We study the ground state properties of classical Coulomb charges interacting with a 1/r potential moving on a plane but confined either by a circular hard wall boundary or by a harmonic potential. The charge density in the continuum limit…

Materials Science · Physics 2009-11-13 A. Mughal , M. A. Moore

The interface of a cholesteric liquid crystal with an isotropic fluid can display a range of unusual properties, such as a layer of topological defects close to an undulated interface. These properties have been know for a long time and…

Soft Condensed Matter · Physics 2014-07-02 N. R. Bernardino , M. C. F. Pereira , N. M. Silvestre , M. M. Telo da Gama

The topology and the geometry of a surface play a fundamental role in determining the equilibrium configurations of thin films of liquid crystals. We propose here a theoretical analysis of a recently introduced surface Frank energy, in the…

Mathematical Physics · Physics 2015-06-18 Antonio Segatti , Michael Snarski , Marco Veneroni

Handedness of the director twist in cholesteric liquid crystals is commonly assumed to be the same throughout the medium, determined solely by the chirality of constituent molecules or chiral additives, albeit distortions of the…

Soft Condensed Matter · Physics 2017-04-26 P. J. Ackerman , I. I. Smalyukh

Nematic colloids exhibit a large diversity of topological defects and structures induced by colloidal particles in the orientationally ordered liquid crystal host fluids. These defects and field configurations define elastic interactions…

Soft Condensed Matter · Physics 2016-12-30 Bohdan Senyuk , Qingkun Liu , Ye Yuan , Ivan I. Smalyukh