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 …

Recently, topolectrical circuits (TECs) boom in studying the topological states of matter. The
resemblance between circuit Laplacians and tight-binding models in condensed matter …

Abstract Effects connected with the mathematical theory of knots emerge in many areas of
science, from physics, to biology. Recent theoretical work discovered that the braid group …

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 …

The study of the laws of nature has traditionally been pursued in the limit of isolated systems,
where energy is conserved. This is not always a valid approximation, however, as the …

Robust boundary states epitomize how deep physics can give rise to concrete experimental
signatures with technological promise. Of late, much attention has focused on two distinct …

A system is non-Hermitian when it exchanges energy with its environment and
nonreciprocal when it behaves differently upon the interchange of input and response …

We employ electric circuit networks to study topological states of matter in non-Hermitian
systems enriched by parity-time symmetry PT and chiral symmetry anti-PT (APT). The …

Knots have a twisted history in quantum physics. They were abandoned as failed models of
atoms. Only much later was the connection between knot invariants and Wilson loops in …

Dimensionality plays a fundamental role in the classification of novel phases and their
responses. In generic lattices of 2D and beyond, however, we found that non-Hermitian …