Non-Hermitian photonics and topological photonics, as new research fields in optics, have
attracted much attention in recent years, accompanying by a great deal of new physical …

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 …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

We demonstrate the existence of generalized Aubry-André self-duality in a class of non-
Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the …

A non-Hermitian topological insulator with a real spectrum is interesting in the theory of non-
Hermitian extension of topological systems. We find an experimentally realizable example of …

Energy bands of non-Hermitian crystalline systems are described in terms of the generalized
Brillouin zone (GBZ) having unique features which are absent in Hermitian systems. In this …

We demonstrate a non-Hermitian topological effect that is characterized by having complex
eigenvalues only in the edge states of a topological material, despite the fact that the …

Periodic lattices of strongly scattering objects coupled to active media are of central
importance in applied nanophotonics, serving as light-emitting metasurfaces of tailored …

We propose a scheme to realize various non-Hermitian topological phases in a topolectrical
(TE) circuit network consisting of resistors, inductors, and capacitors. These phases are …

The triple phase transitions or simultaneous transitions of three different phases, namely,
topological, parity-time (PT) symmetry breaking, and metal-insulator transitions, are …