Magnetic topological materials represent a class of compounds with properties that are
strongly influenced by the topology of their electronic wavefunctions coupled with the …

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 …

Diffusion driven by temperature or concentration gradients is a fundamental mechanism of
energy and mass transport that inherently differs from wave propagation in both physical …

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 …

Using a recently developed formalism called topological quantum chemistry, we perform a
high-throughput search of 'high-quality'materials (for which the atomic positions and …

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

Higher-order topological insulators are a novel topological phase beyond the framework of
conventional bulk–boundary correspondence,. In these peculiar systems, the topologically …