Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: A quantum dynamical study.

We study quantum dynamics of a wave packet on a class of one dimensional decorated aperiodic lattices, described within a tight binding formalism. We look for the possibility of finding extended single particle states even in the absence of any translational periodicity. The chosen lattices are stubbed with one or more atoms, tunnel coupled to the backbone, thereby introducing a minimal quasi-one dimensionality. It is seen that, for a group of such lattices a certain correlation between the numerical values of the hopping amplitudes leads to a complete delocalization of single particle states. In some other cases, a special value of a magnetic flux trapped in the loops present in the geometries delocalize the states, leading to a flux driven insulator to metal transition. The mean square displacement, temporal autocorrelation function, the time dependence of the inverse participation ratio, or the information entropy – the so-called hallmarks of studying localization based on dynamics – all of them indicate such a complete turnover in the nature of the single particle states and the character of the energy spectrum under suitable conditions. The results shown in this work using quasiperiodic lattices of the Fibonacci family are much more general and hold good even for a randomly disordered arrangement of the building blocks of the systems considered, and indicate a subtle universality class under which these lattices can be grouped. • We examine the quantum dynamics of a wave packet on a family of one-dimensional aperiodic lattices. • It is observed that a specific connection between the hopping amplitudes for a set of such lattices results in a total delocalization of single particle states. • In other instances, the states are delocalized due to a unique value of a magnetic flux that is trapped in the loops found in the geometries. • We analyze the mean square displacement, temporal autocorrelation function, time dependence of the inverse participation ratio, and information entropy. • The findings presented here with quasiperiodic lattices from the Fibonacci family are far more broadly applicable. [ABSTRACT FROM AUTHOR]