Discovery of quasicrystals and other deterministic aperiodic structures initiated new fields of
research in solid-state photonics. In this review, we first make an overview of recently …

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 …

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 …

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 …

Electronic transport and wavefunction localization are two closely related phenomena, but
their behavior in truly macroscopic aperiodic lattices is a non-widely addressed issue. We …

We study the electronic and Fourier-spectral properties of one-dimensional generalized
Fibonacci lattices generated by the stacking rule S l+ 1= S ln S l− 1 m with positive integers n …

We determine the optimal thicknesses for which omnidirectional reflection from generalized
Fibonacci quasicrystals occurs. By capitalizing on the idea of wavelength-and angle …

Electronic states play a crucial role in many quantum systems of moire superlattices,
quasicrystals, and fractals. As recently reported in\textit {Sierpi\'{n} ski} lattices [Phys. Rev. B …

The spreading of an initially localized wave packet in one-dimensional linear and nonlinear
generalized Fibonacci (GF) lattices is studied numerically. The GF lattices can be classified …

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 …