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 synergy between non-Hermitian concepts and topological ideas have led to very fruitful
activity in the recent years. Their interplay has resulted in a wide variety of new non …

Recently, it was discovered that certain non-Hermitian systems can exhibit qualitative
different properties at different system sizes, such as being gapless at small sizes and …

Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking,
localization and topological transitions induced by gain and loss or nonreciprocal effects. In …

In this paper, we investigate the driven dynamics of the localization transition in the non-
Hermitian Aubry-André model with the periodic boundary condition. Depending on the …

The scaling law of entanglement entropy could undergo qualitative changes during the
nonunitary evolution of a quantum many-body system. In this work, we uncover such …

In one-dimensional Hermitian tight-binding models, mobility edges separating extended and
localized states can appear in the presence of properly engineered quasiperiodical …

As an unconventional realization of topological orders with an exotic interplay of topology
and geometry, fracton (topological) orders feature subextensive topological ground-state …

We study many-body entanglements and spectra of the extended bosonic Hatano-Nelson
model in the hard-core limit. We show that the system undergoes a phase transition from a …

In computer and system sciences, higher-order cellular automata (HOCA) are a type of
cellular automata that evolve over multiple time steps and generate complex patterns, which …