This article reviews recent developments in the non-Hermitian skin effect (NHSE),
particularly on its rich interplay with topology. The review starts off with a pedagogical …

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 …

Rapidly growing demands for fast information processing have launched a race for creating
compact and highly efficient optical devices that can reliably transmit signals without losses …

Topology, parity-time (PT) symmetry, and nonlinearity are at the origin of many fundamental
phenomena in complex systems across the natural sciences, but their mutual interplay …

Rapid scaling of semiconductor devices has led to an increase in the number of processor
cores and integrated functionalities onto a single chip to support the growing demands of …

Dielectric metamaterials based on ceramics have attracted considerable interest in the past
few years owing to their low dielectric loss, simple structure, excellent multifield tunability …

The Laplace operator encodes the behavior of physical systems at vastly different scales,
describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input …

We demonstrate, both theoretically and experimentally, the concept of nonlinear second-
order topological insulators, a class of bulk insulators with quantized Wannier centers and a …

Edge states emerge in diverse areas of science, offering promising opportunities for the
development of future electronic or optoelectronic devices, sound and light propagation …