Quo Vadis Quasicrystals?

Abstract

This Special Issue aims at gaining a deeper understanding on the relationship between the underlying structural order and the resulting physical properties in aperiodic systems, including quasicrystalline and related complex metallic alloys, photonic quasicrystals, and other structures exhibiting long-range aperiodic order. This Special Issue contains 12 papers which highlight recent developments in quasiperiodic crystal structure, photonic quasicrystals and related optical devices, the intrinsic electrical, thermal, and mechanical properties of icosahedral and decagonal metallic alloys, and the nature of chemical bonding in intermetallic compounds, from a multidisciplinary perspective. In light of the results presented in the contributions collected in this Special Issue, we can confidently expect that new insights into the interdisciplinary science of quasicrystals will be gained in the years to come, providing a sharper picture of their structures and related physical properties, and spurring further progress in practical issues related to both materials engineering science and nanotechnology.

Spectral Classification of One‐Dimensional Binary Aperiodic Crystals: An Algebraic Approach

“…[66] The knowledge gained from these extensions could be of interest for the design of optimized phononic and photonic QCs. [67][68][69] In this regard, the presence of states with an intermediate degree of localization, as those described in the previous section, may o¤er a higher degree of control and tuning ‡exibility, leading to the possible existence of either relatively localized or signi…cantly extended electromagnetic intensity patterns by design. In fact, the possible occurrence of these tunable optical modes in defect-free photonic QCs would be of interest for the fabrication of high quality factor resonators as well as coupled-resonator waveguides.…”