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 law of reciprocity in acoustics and elastodynamics codifies a relation of symmetry
between action and reaction in fluids and solids. In its simplest form, it states that the …

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 …

Mechanical metamaterials exhibit properties and functionalities that cannot be realized in
conventional materials. Originally, the field focused on achieving unusual (zero or negative) …

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

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

Surface waves in topological states of quantum matter exhibit unique protection from
backscattering induced by disorders, making them ideal carriers for both classical and …

We report a new type of phononic crystals with topologically nontrivial band gaps for both
longitudinal and transverse polarizations, resulting in protected one-way elastic edge …