Searching for metal-insulator transition in Fibonacci quasicrystals by distribution analysis of electronic wavefunction participation ratios

Abstract

Abstract Preliminary computational data are presented related to shape changes in the distribution of participation ratios of electronic wavefunctions from 1D and 2D Fibonacci quasicrystals. They suggest a likely connection between a distorsion-induced metal-insulator transition and the golden number spanning the word sequence underlying the quasiperiodicity of these systems.