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 …

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

Over the past decade, topology has emerged as a major branch in broad areas of physics,
from atomic lattices to condensed matter. In particular, topology has received significant …

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 …

Recently, higher-order topological phases that do not obey the usual bulk-edge
correspondence principle have been introduced in electronic insulators and brought into …

Topological photonics has attracted increasing attention in recent years due to the unique
opportunities it provides to manipulate light in a robust way immune to disorder and defects …

Abstract 2D second‐order topological insulators (SOTIs) have sparked significant interest,
but currently, the proposed realistic 2D materials for SOTIs are limited to nonmagnetic …

Higher-order topology yields intriguing multidimensional topological phenomena, while
Weyl semimetals have unconventional properties such as chiral anomaly. However, so far …

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 …

Living organisms composed of composite materials with complex structures support
autonomous and intelligent behaviors, such as motility, perception and response to changes …