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 …

We report on a new class of critical states in the energy spectrum of general Fibonacci
systems. By introducing a transfer matrix renormalization technique, we prove that the …

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 …

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 …

Structural defects are inherent in solids at a finite temperature, because they diminish free
energies by growing entropy. The arrangement of these defects may display long-range …

We consider a general Fibonacci quasicrystal (FQC) in which both the masses and the
elastic constants are aperiodically arranged. Making use of a suitable decimation scheme …

We derive a discrete Hamiltonian describing a Fibonacci superlattice in which the electronic
potential is taken to be an array of equally spaced δ potentials, whose strengths modulate …

In this work, we show that the fundamental structure of the electronic energy spectrum of
binary Fibonacci quasicrystals can be decomposed in terms of two main contributions …

To understand the role of electron correlation and disorder on persistent currents in isolated
1D rings threaded by magnetic flux ϕ, we study the behavior of persistent currents in …