Bound states in the continuum (BICs) have attracted attention in photonics owing to their
interesting properties. For example, BICs can effectively confine light in a counterintuitive …

A conventional topological insulator (TI) has gapped bulk states but gapless edge states.
The emergence of the gapless edge states is dictated by the bulk topological invariant of the …

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 …

Higher-order topological insulators (HOTIs) are recently discovered topological phases,
possessing symmetry-protected corner states with fractional charges. An unexpected …

Higher-order topological phases have raised widespread interest in recent years with the
occurrence of the topological boundary states of dimension two or more less than that of the …

Higher-order topological insulators are a recently discovered class of materials that can
possess zero-dimensional localized states regardless of the dimension of the system. Here …

Bound states in the continuum (BICs) are counterintuitive localized states with eigenvalues
embedded in the continuum of extended states. Recently, nontrivial band topology is …

Pursuing topological phases in natural and artificial materials is one of the central topics in
modern physical science and engineering. In classical magnetic systems, spin waves (or …

We show that lattices with higher-order topology can support corner-localized bound states
in the continuum (BICs). We propose a method for the direct identification of BICs in …