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 …

One of the Top Selling Physics Books according to YBP Library ServicesOrder can be found
in all the structures unfolding around us at different scales, including in the arrangements of …

The interest in the precise nature of critical states and their role in the physics of aperiodic
systems has witnessed a renewed interest in the last few years. In this work we present a …

This book provides an interdisciplinary guide to quasicrystals, the 2011 Nobel Prize in
Chemistry winning topic, by presenting an up-to-date and detailed introduction to the many …

A new type of correlated disorder is shown to be responsible for the appearance of extended
electronic states in one-dimensional aperiodic systems like the Thue-Morse lattice. Our …

An infinitely large Koch fractal is shown to be capable of sustaining only extended, Bloch-
like eigenstates if certain parameters of the Hamiltonian describing the lattice are …

We consider a class of synthetic DNA molecules based on a quasiperiodic arrangement of
their constituent nucleotides. Making use of a two-step renormalization scheme the double …

We have recently proposed a one-dimensional nonperiodic chain with lattice positions at 0 2
d, 1 2 d, 2 2 d,... with length da constant. The spectrum is singular-continuous, and for weak …

Electronic states play a crucial role in many quantum systems of moiré superlattices,
quasicrystals, and fractals. As recently reported for Sierpiński lattices [Yao, Phys. Rev. B 107 …

To investigate the optical properties in quasi-regular porous-silicon-based dielectric Period-
Doubling and Rudin-Shapiro multilayer systems, we study here the reflection of light from …