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

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 …

The propagation of light in nonperiodic quasicrystals is studied by ultrashort pulse
interferometry. Samples consist of multilayer dielectric structures of the Fibonacci type and …

We compute the phase diagram of the one-dimensional Bose-Hubbard model with a
quasiperiodic potential by means of the density-matrix renormalization group technique …

We develop a new real-space method which allows one to evaluate the Kubo-Greenwood
formula for dc conductivity of independent electrons in a static potential. We apply it to a …

The multifractal dimensions D 2 μ and D 2 ψ of the energy spectrum and eigenfunctions,
respectively, are shown to determine the asymptotic scaling of the width of a spreading wave …

Abstract The Aubry–André model with its transition from a delocalized to a localized phase
in one dimension is particularly well suited for a phase-space study of such a metal …

We study analytically one-dimensional interacting spinless fermions in a Fibonacci potential.
We show that the effects of the quasiperiodic modulation are intermediate between those of …