Magnetic skyrmions and hopfions are topological solitons—well-localized field
configurations that have gained considerable attention over the past decade owing to their …

Toroidal vortices, also known as vortex rings, are whirling, closed-loop disturbances that
form a characteristic ring shape in liquids and gases and propagate in a direction that is …

Additive nanotechnology enable curvilinear and three-dimensional (3D) magnetic
architectures with tunable topology and functionalities surpassing their planar counterparts …

Abstract Magneto-optical (MO) effects, viz. magnetically induced changes in light intensity or
polarization upon reflection from or transmission through a magnetic sample, were …

Topological magnetic monopoles (TMMs), also known as hedgehogs or Bloch points, are
three-dimensional (3D) non-local spin textures that are robust to thermal and quantum …

The three-dimensional emergent magnetic field B e of a magnetic hopfion gives rise to
emergent magnetomultipoles in a similar manner to the multipoles of classical …

The transition from planar (2D) to three-dimensional (3D) magnetic nanostructures
represents a significant advancement in both fundamental research and practical …

The aim of this work is to present an overview and a critical discussion on two-dimensional
materials and functional nanostructures exhibiting ferromagnetic and antiferromagnetic long …

Chiral effects originate from the lack of inversion symmetry within the lattice unit cell or
sample's shape. Being mapped onto magnetic ordering, chirality enables topologically non …

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 …