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 …

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 …

Over the past twenty years, a wide range of metal–organic frameworks (MOFs) has been
developed. MOFs exhibit interesting behaviors owing to the complex interactions between …

Inverse Anderson transitions, where the flat-band localization is destroyed by disorder, have
been wildly investigated in quantum and classical systems in the presence of Abelian gauge …

Bound states in the continuum (BICs), which are spatially localized states with energies lying
in the continuum of extended modes, have been widely investigated in both quantum and …

The study of topological states has developed rapidly in electric circuits, which permits
flexible fabrications of non-Hermitian systems by introducing non-Hermitian terms. Here …

We uncover the very rich graph topology of generic bounded non-Hermitian spectra, distinct
from the topology of conventional band invariants and complex spectral winding. The graph …

Topological corner states are exotic topological boundary states bounded to zero-
dimensional geometry even when the dimension of bulk systems is larger than one. So far …

It is well known that non-Hermitian, nonreciprocal systems may harbor exponentially
localized skin modes. However, in this work, we find that, generically, non-Hermiticity gives …

Recently, higher-order topological insulators (HOTIs) have been introduced, and were
shown to host topological corner states under the theoretical framework of Benalcazar …