Dimensionality plays an essential role in determining the nature and properties of a physical
system. This is particularly evident in quantum systems, where interactions and fluctuations …

Since their first observation in metallic alloys, quasicrystals have remained highly intriguing
ubiquitous physical structures, sharing properties of ordered and disordered media. They …

We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …

Theoretical and experimental studies suggest that both Hermitian and non-Hermitian
quasicrystals show localization due to the fractal spectrum and to the transition to diffusive …

We develop a renormalization group (RG) description of the localization properties of one-
dimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit …

Mobility edges, separating localized from extended states, are known to arise in the single-
particle energy spectrum of disordered systems in dimension strictly higher than two and …

Disorder or quasidisorder is known to favor localization in many-body Bose systems. Here,
in contrast, we demonstrate an anomalous delocalization effect induced by …

In this paper, we explore the localization features of wave functions in a family of mosaic
quasiperiodic chains obtained by continuously interpolating between two limits: the mosaic …

We find that quasiperiodicity-induced transitions between extended and localized phases in
generic 1D systems are associated with hidden dualities that generalize the well-known …

The presence of disorder substantially influences the behaviour of physical systems. It can
give rise to slow or glassy dynamics, or to a complete suppression of transport as in …