Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a
material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is …

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 …

Light harvesting, separation of charge carriers, and surface reactions are three fundamental
steps that are essential for an efficient photocatalyst. Here we show that these steps in the …

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 …

The study of classical wave physics has been reinvigorated by incorporating the concept of
the geometric phase, which has its roots in optics, and topological notions that were …

Topological edge modes are excitations that are localized at the materials' edges and yet
are characterized by a topological invariant defined in the bulk. Such bulk–edge …

Disorder, which qualitatively describes some measure of irregularities in spatial patterns, is
ubiquitous in many-body systems, equilibrium and non-equilibrium states of matter, network …

Topological insulators constitute a newly characterized state of matter that contains scatter-
free edge states surrounding an insulating bulk. Conventional wisdom regards the insulating …

Non-reciprocal transmission of motion is potentially highly beneficial to a wide range of
applications, ranging from wave guiding to shock and vibration damping and energy …

In solid state physics, a bandgap (BG) refers to a range of energies where no electronic
states can exist. This concept was extended to classical waves, spawning the entire fields of …