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 …

The mobility edges (MEs) in energy that separate extended and localized states are a
central concept in understanding the localization physics. In one-dimensional (1D) …

Cold atomic gases provide a remarkable testbed to study the physics of interacting many-
body quantum systems. Temperatures are necessarily nonzero, but cooling to the ultralow …

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

The Aubry-André-Harper model provides a paradigmatic example of aperiodic order in a
one-dimensional lattice displaying a delocalization-localization phase transition at a finite …

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 …

Quasicrystals exhibit exotic properties inherited from the self-similarity of their long-range
ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves …

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 …

Mobility edges, separating localized from extended states, are known to arise in the single-
particle energy spectrum of certain one-dimensional models with quasiperiodic disorder …