Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

The distinctive electronic properties of quasicrystals stem from their long-range structural
order, with invariance under rotations and under discrete scale change, but without …

A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

Topological insulators and topological superconductors are distinguished by their bulk
phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals …

Nanophotonics is where photonics merges with nanoscience and nanotechnology, and
where spatial confinement considerably modifies light propagation and light-matter …

One-dimensional quasiperiodic systems, such as the Harper model and the Fibonacci
quasicrystal, have long been the focus of extensive theoretical and experimental research …

The electronic properties of a tight-binding model which possesses two types of hopping
matrix element (or on-site energy) arranged in a Fibonacci sequence are studied. The wave …

Recent theories of scaling in quasiperiodic dynamical systems are applied to the behavior of
a particle in an almost periodic potential. A special tight-binding model is solved exactly by a …

Conduction through materials crucially depends on how ordered the materials are.
Periodically ordered systems exhibit extended Bloch waves that generate metallic bands …

An experiment to probe the (quasi) localization of the photon is proposed, in which optical
layers are constructed following the Fibonacci sequence. The transmission coefficient has a …