The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Widely known for their uses in displays and electro-optics, liquid crystals are more than just
technological marvels. They vividly reveal the topology and structure of various solitonic and …

Topological solitons are knots in continuous physical fields classified by nonzero Hopf index
values. Despite arising in theories that span many branches of physics, from elementary …

Abstract Three-dimensional (3D) topological solitons are continuous but topologically
nontrivial field configurations localized in 3D space and embedded in a uniform far-field …

Hopfions are an intriguing class of string-like solitons, named according to a classical
topological concept classifying three-dimensional direction fields. The search for hopfions in …

Spin textures with various topological orders are of great theoretical and practical interest.
Hopfion, a spin texture characterized by a three-dimensional topological order was recently …

We explore spatially localized solitonic configurations of a director field, generated using
optical realignment and laser-induced heating, in frustrated chiral nematic liquid crystals …

Active nematics contain topological defects that (under sufficient activity) move, create, and
annihilate in a chaotic quasi-steady state, called active turbulence. However, understanding …

Chiral nematic droplets with perpendicular surface alignment of liquid crystalline molecules
frustrate the helical structure into convoluted 3D textures with complex topology. We observe …

Some of the most exotic condensed matter phases, such as twist grain boundary and blue
phases in liquid crystals and Abrikosov phases in superconductors, contain arrays of …