Topological acoustics is an emerging field that lies at the intersection of condensed matter
physics, mechanical structural design and acoustics engineering. It explores the design and …

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 …

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 …

Recently, higher-order topological insulators (HOTIs) as a novel frontier of topological
phases of matter have been induced in mechanical systems, opening new routes to …

Higher-order topological insulators (HOTIs) represent a new family of topological materials
featuring quantized bulk polarizations and zero-dimensional corner states. In recent years …

Topological acoustic interface states in one-dimensional (1D) acoustic topological insulators
(ATIs) are zero-dimensional (0D) topological states localized at an interface. Unlike …

Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Recently, higher-order topological insulators have been attracting extensive interest. Unlike
the conventional topological insulators that demand bulk gap closings at transition points …