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 …

The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

Structured waves are ubiquitous for all areas of wave physics, both classical and quantum,
where the wavefields are inhomogeneous and cannot be approximated by a single plane …

Skyrmions are topologically stable quasiparticles that have been predicted and
demonstrated in quantum fields, solid-state physics and magnetic materials, but only …

Polarization singularities and topological polarization structures are generic features of
inhomogeneous vector wave fields of any nature. However, their experimental studies …

Skyrmions with topologically stable configuration have shown a promising route toward high-
density magnetic and photonic information processing due to their defect-immune and low …

Spin angular momenta play important roles in light–matter interactions, leading to the
emergence of the spin Hall effect and topological quasiparticles in modern optics. The …

Topological wave structures—phase vortices, skyrmions, merons, etc.—are attracting
enormous attention in a variety of quantum and classical wave fields. Surprisingly, these …

Skyrmions endowed with topological protection have been extensively investigated in
various platforms including magnetics, ferroelectrics, and liquid crystals, stimulating …

Surface acoustic waves (SAWs) are elastic waves propagating on the surface of solids with
the amplitude decaying into the solid. The well-established fabrication of compact SAW …