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 …

Strong light-matter interaction enriches topological photonics by dressing light with matter,
which provides the possibility to realize active nonlinear topological devices with immunity to …

Acoustic metasurfaces are at the frontier of acoustic functional material research owing to
their advanced capabilities of wave manipulation at an acoustically vanishing size. Despite …

Building upon the bulk-boundary correspondence in topological phases of matter,
disclinations have recently been harnessed to trap fractionally quantized density of states …

Non-Abelian braiding is regarded as an essential process for realizing quantum logic. Its
realizations in quantum systems often rely on the dynamic winding of anyons, which can be …

We present a theoretical study and experimental realization of a system that is
simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological …

Bound state in a continuum (BIC) is a spatially confined resonance with its energy
embedded in a continuous spectrum of propagative modes, yet their coupling is prohibited …

Higher-order topological band theory has transformed the landscape of topological phases
in quantum and classical systems. Here, we experimentally demonstrate a two-dimensional …

Topological notions in physics often emerge from adiabatic evolution of states. It not only
leads to fundamental insight of topological protection but also provides an important …