The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

Topological phononics, a fascinating frontier in condensed matter physics, holds great
promise for advancing energy‐related applications. Topologically nontrivial phonons …

Higher-order Weyl semimetals are a family of recently predicted topological phases
simultaneously showcasing unconventional properties derived from Weyl points, such as …

Topological phases of matter are classified based on symmetries, with nonsymmorphic
symmetries like glide reflections and screw rotations being of particular importance in the …

Higher-order topological insulators and semimetals, which generalize the conventional bulk-
boundary correspondence, have attracted extensive research interest. Among them, higher …

The higher-order topological phases have attracted intense attention in the past years,
which reveals various intriguing topological properties. Meanwhile, the enrichment of group …

Internal and crystalline symmetries play critical roles in the classification of topological
materials. Recently, the crystalline symmetries are found to allow projective representations …

We theoretically investigate the engineering of two-dimensional second-order topological
insulators with corner states by coupling two first-order topological insulators. We find that …

As a quantum state of frequency extrema in the momentum space of acoustic systems, sonic
valley pseudospin provides a new degree of freedom for controlling acoustic waves. Higher …

The fascinating properties of unconventional Dirac and Weyl nodes in crystalline systems,
carrying a topological charge of±2, have captured the attention of researchers. Here …