There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

Rationally designed architected materials have attained previously untapped territories in
materials property space. The properties and behaviours of architected materials need not …

Mechanical metamaterials are engineered materials with unconventional mechanical
behavior that originates from artificially programmed microstructures along with intrinsic …

Over the last decade, extensive efforts have been made on utilizing advanced materials and
structures to improve the properties and functionalities of flexible electronics. While the …

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

The concept of metamaterials originates from the proposal of left-hand materials with
negative refractive index, followed by which, varieties of metamaterials with kinds of fantastic …

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 …

In active matter systems, individual constituents convert energy into non-conservative forces
or motion at the microscale, leading to morphological features and transport properties that …

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

In the presence of crystalline symmetries, certain topological insulators present a filling
anomaly: a mismatch between the number of electrons in an energy band and the number of …