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 …

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 spatially periodic Hermitian systems, such as electronic systems in crystals, the band
structure is described by the band theory in terms of the Bloch wave functions, which …

Abstract In 1878, Lord Rayleigh observed the highly celebrated phenomenon of sound
waves that creep around the curved gallery of St Paul's Cathedral in London,. These …

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

This broad review summarizes recent advances and “hot” research topics in nanophononics
and elastic, acoustic, and mechanical metamaterials based on results presented by the …

Recently, we witnessed a tremendous effort to conquer the realm of acoustics as a possible
playground to test with topologically protected sound wave propagation. In this article, we …

Topologically gapless edge states, characterized by topological invariants and Berry's
phases of bulk energy bands, provide amazing techniques to robustly control the …

Acoustic resonances in open systems, which are usually associated with resonant modes
characterized by complex eigenfrequencies, play a fundamental role in manipulating …

Topological phononic crystals can manipulate elastic waves that propagate in solids without
being backscattered, and could be used to develop integrated acousto-electronic systems …