Magnetic skyrmions (or vortices) are spatially inhomogeneous spin textures localized in
nanoscale cylindrical regions. Their small size and unique stability make skyrmions …

Magnetic skyrmions are topologically stable nanoscale particlelike objects that were
discovered in 2009. Since that time, intense research interest in the field has led to the …

Liquid crystals are widely known for their technological uses in displays, electro-optics,
photonics and nonlinear optics, but these applications typically rely on defining and …

Reconfigurable, ordered matter offers great potential for future low-power computer memory
by storing information in energetically stable configurations. Among these, skyrmions …

Humankind has been obsessed with knots in religion, culture and daily life for millennia,
while physicists like Gauss, Kelvin and Maxwell already involved them in models centuries …

Topological charge plays a significant role in a range of physical systems. In particular,
observations of real‐space topological objects in magnetic materials have been largely …

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 …

Axisymmetric solitonic states (chiral skyrmions) were first predicted theoretically more than
two decades ago. However, until recently they have been observed in a form of skyrmionic …

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 …

Molecular machines operated by light have been recently shown to be able to produce
oriented motion at the molecular scale, as well as do macroscopic work when embedded in …