Abstract
We investigate the scaling properties of GaAs/Al x Ga 1− x As quasiperiodic superwires (superdots) structures building up following the Fibonacci, Thue–Morse and double-period sequences of concentric cylindrical (spherical) shells. We perform a quantitative analysis on the electronic structure of their allowed bands in order to find how the scaling properties are related with the number of generations of the sequences. We show that the total allowed bandwidth (the Lebesgue measure of the energy spectrum) Δ scales as the power law Δ∼( F n ) − δ for the Fibonacci sequence, where F n is the Fibonacci number and δ is the diffusion constant of the spectra. For both the Thue–Morse and double-period sequences, the power law is given by Δ∼(2 n ) − δ , with n being the number of the generation of the sequence.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
