Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: a quantum dynamical study
S Biswas, A Chakrabarti - Physica E: Low-dimensional Systems and …, 2024 - Elsevier
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 …
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 …