Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a
powerful tool in the characterization of both the intrinsic degrees of freedom of a system and …

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 combination of broken Hermiticity and band topology in physical systems unveils a
novel bound state dubbed as the non-Hermitian skin effect (NHSE). Active control that …

It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

Non-Hermitian band structures have gained considerable attention due to the novel
phenomena not present in their Hermitian counterparts and their connection to various …

Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a
new paradigm of synthetic matter, and their energy levels were characterized by a band …

Nontrivial spectral properties of non-Hermitian systems can lead to intriguing effects with no
counterparts in Hermitian systems. For instance, in a two-mode photonic system, by …

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 …

The energy bands of non-Hermitian systems exhibit nontrivial topological features that arise
from the complex nature of the energy spectrum. Under periodic boundary conditions …

Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in noninteracting
non-Hermitian systems. In this paper, we extend the NHSE originally discovered in …