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 …

Yang-Lee edge singularities (YLES) are the edges of the partition function zeros of an
interacting spin model in the space of complex control parameters. They play an important …

The non-Hermitian skin effect, by which the eigenstates of the Hamiltonian are
predominantly localized at the boundary, has revealed a strong sensitivity of non-Hermitian …

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 …

We propose a new avenue in which percolation, which has been much associated with
critical phase transitions, can also dictate the asymptotic dynamics of non-Hermitian systems …

Dynamical formation of doublons or on-site repulsively bound pairs of particles on a lattice is
a highly nontrivial phenomenon. In this work, we show the signatures of doublon formation …

Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which
break time translational symmetry. So far, only the simplest form of DTCs that exhibit period …

Non-Hermitian physics has attracted considerable attention in the recent years, in particular
the non-Hermitian skin effect (NHSE) for its extreme sensitivity and non-locality. While the …

Parity-time (PT) symmetry is a cornerstone of non-Hermitian physics as it ensures real
energies for stable experimental realization of non-Hermitian phenomena. In this work, we …