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 …

Light and sound are the most ubiquitous forms of waves, associated with a variety of
phenomena and physical effects such as rainbows and echoes. Light and sound, both …

Topological features embedded in ancient braiding and knotting arts endow significant
impacts on our daily life and even cutting-edge science. Recently, fast growing efforts are …

Topological phases of matter connect mathematical principles to real materials, and may
shape future electronic and quantum technologies. So far, this discipline has mostly focused …

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

Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …

In the last few decades, topological phase,,,,,,,,,–has emerged as a new classification of
matter states beyond the Ginzburg–Landau symmetry-breaking paradigm. The underlying …

Topological phases characterized by non-Abelian charges are beyond the scope of the
paradigmatic tenfold way and have gained increasing attention recently. Here we …

Defective spectral degeneracy, known as exceptional point (EP), lies at the heart of various
intriguing phenomena in optics, acoustics, and other nonconservative systems. Despite …

The last years have witnessed rapid progress in the topological characterization of out-of-
equilibrium systems. We report on robust signatures of a new type of topology—the Euler …