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 aim of this work is to present a comprehensive and up-to-date review of the main
physical properties (such as energy profiles, localization, scale laws, multifractal analysis …

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

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 …

We have measured the optical transmission of quasiperiodic dielectric multilayer stacks of
SiO 2 (A) and TiO 2 (b) thin films which are ordered according to a Fibonacci sequence S j+ …

In this work we consider the role of aperiodic order in different domains of science and
technology from an interdisciplinary approach. To start with, we introduce some general …

The development of the concept of quasicrystals has challenged many widely held
assumptions of crystallography and solid state physics. It had been generally assumed that …

Physics Spectral Properties of One Dimensional Quasi-Crystals Page 1 Communications in
Commun. Math. Phys. 125, 527-543 (1989) MathβlTiatlCal Physics © Springer-Verlag 1989 …

We review the results of the scaling and multifractal analyses for the spectra and wave-
functions of the finite-difference Schrödinger equation: Here V is a function of period 1 and ω …

This is a joint publication with the paper by Huang and Liu [Phys. Rev. Lett. 121, 126401
(2018) 10.1103/PhysRevLett. 121.126401]. In this work, we propose the spin Bott index to …