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 …

Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

Recent research in topological photonics has not only proposed and realized novel
topological phenomena such as one‐way broadband propagation and robust transport of …

A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Light and sound are the most ubiquitous forms of waves, associated with a variety of
phenomena and physical effects such as rainbows and echoes. Light and sound, both …

Robust boundary states epitomize how deep physics can give rise to concrete experimental
signatures with technological promise. Of late, much attention has focused on two distinct …

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 …

Beyond the scope of Hermitian physics, non-Hermiticity fundamentally changes the
topological band theory, leading to interesting phenomena, eg, non-Hermitian skin effect, as …

Thouless pumping provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

Most natural and artificial materials have crystalline structures from which abundant
topological phases emerge,,,,–. However, the bulk–edge correspondence—which has been …