In spatially periodic Hermitian systems, such as electronic systems in crystals, the band
structure is described by the band theory in terms of the Bloch wave functions, which …

Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas
past decades witnessed their new physics, the unified understanding has yet to be obtained …

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to
the imposed boundary conditions, which is beyond any known phenomenon from Hermitian …

In this Letter, we study the conditions under which on-site dissipations can induce non-
Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian …

Higher-order topology realizes topologically robust corner modes as a manifestation of
nontriviality. We theoretically propose non-Hermitian skin effects which stem from the …

The hallmark of symmetry-protected topological phases is the existence of anomalous
boundary states, which can only be realized with the corresponding bulk system. In this …

Topological phases have recently witnessed rapid progress in non-Hermitian systems. Here
we study a one-dimensional non-Hermitian Aubry-André-Harper (AAH) model with …

The Aubry-André-Harper (AAH) model with a self-dual symmetry plays an important role in
studying the Anderson localization. Here we find a self-dual symmetry determining the …

Recently, topological quantum states of non-Hermitian systems, exhibiting rich, new exotic
states, have attracted great attention in condensed-matter physics. As for the demonstration …

Non-Hermitian systems generically have complex energies, which may host topological
structures, such as links or knots. While there has been great progress in experimentally …