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 …

Effective manipulation of phonons is crucial to modern energy‐information science and
technologies but limited by the charge neutral and spinless nature of phonons. Recently …

Weyl semimetals (WSMs) exhibit phenomena such as Fermi arc surface states, pseudo-
gauge fields and quantum anomalies that arise from topological band degeneracy in …

Topological mechanical metamaterials have emerged with the development of topological
phases and topological phase transitions in modern condensed matter physics. Their …

The rapid development of topological photonics and acoustics calls for accurate
understanding of band topology in classical waves, which is not yet achieved in many …

The discovery of topological quantum states marks a new chapter in both condensed matter
physics and materials sciences. By analogy to spin electronic system, topological concepts …

Topological elastic metamaterials have emerged as a new frontier in the quest of topological
phases in condensed matter physics. Their exotic topological properties open a wealth of …

Phonons play a crucial role in many properties of solid-state systems, and it is expected that
topological phonons may lead to rich and unconventional physics. On the basis of the …

Besides chiral edge states, the hallmark of quantum Hall insulators, antichiral edge states
can exhibit unidirectional transport behavior but in topological semimetals. Although such …