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 real space decimation method has been successfully applied over the years to
understand the critical phenomena as well as the nature of single particle excitations in …

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 …

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 …

Present work reports an elegant method to address the emergence of two Dirac cones in a
non-hexagonal graphene allotrope S-graphene (SG). We have availed nearest neighbour …

An unprecedented graphyne allotrope with square symmetry and nodal line semimetallic
behavior has been proposed in the two-dimensional (2D) realm. The emergence of 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 …

Both theoretically and experimentally, we demonstrate that the photonic band gaps in Thue–
Morse aperiodic systems can be separated into two flavors, the fractal gaps and the …

We study aperiodic systems based on substitution rules by means of a transfer-matrix
approach. In addition to the well-known trace map, we investigate the so-called “antitrace” …

One-dimensional Fibonacci-class quasilattices are proposed and studied, which are
constructed by the substitution rules B→ B n− 1 A, A→ B n− 1 AB. We have proved that this …