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 spectral properties of a non‐Hermitian quasi‐1D lattice in two of the possible
dimerization configurations are investigated. Specifically, it focuses on a non‐Hermitian …

A unified expression for topological invariants was proposed recently to describe the
topological order in Dirac models belonging to any dimension and symmetry class. We …

The quantum geometry in the momentum space of semiconductors and insulators,
described by the quantum metric of the valence-band Bloch state, has been an intriguing …

We study the effect of quantum geometry on the many-body ground state of one-dimensional
interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic …

The past few years have seen a revived interest in quantum geometrical characterizations of
band structures due to the rapid development of topological insulators and semi-metals …

Quantum geometry has emerged as a central and ubiquitous concept in quantum sciences,
with direct consequences on quantum metrology and many-body quantum physics. In this …

Two-dimensional Euler insulators are novel kinds of systems that host multigap topological
phases, quantified by a quantized first Euler number in their bulk. Recently, these phases …

Among non-Hermitian systems, pseudo-Hermitian phases represent a special class of
physical models characterized by real energy spectra and the absence of non-Hermitian …

Here, we introduce and apply non-Abelian tensor Berry connections to topological phases in
multiband systems. These gauge connections behave as non-Abelian antisymmetric tensor …