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

Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian
skin effects. The non-Hermitian skin effects are well established for single-particle systems …

Whereas point-gap topological phases are responsible for exceptional phenomena intrinsic
to non-Hermitian systems, their realization in quantum materials is still elusive. Here, we …

The Petermann factor and the phase rigidity are convenient measures for various aspects of
open quantum and wave systems, such as the sensitivity of energy eigenvalues to …

The Mathieu equation occurs naturally in the description of vibrations or in the propagation
of waves in media with a time-periodic refractive index. It is known to lead to exponential …

The interplay between non-Hermiticity and disorder gives rise to unique universality classes
of Anderson transitions. Here, we develop a field-theoretical description of non-Hermitian …

Multifractal analysis is a powerful tool for characterizing the localization properties of wave
functions. Despite its utility, this tool has been predominantly applied to disordered …

While topology can impose obstructions to exponentially localized Wannier functions,
certain topological insulators are exempt from such Wannier obstructions. The absence of …

One of the important features of non-Hermitian Hamiltonians is the existence of a unique
type of singularities, the so-called exceptional points. When the corresponding systems …

Non-Hermitian systems exhibit richer topological properties compared to their Hermitian
counterparts. It is well known that non-Hermitian systems have been classified based on …