In this report we model and study the propagation of electrons in one-dimensional (1D)
Fibonacci quasicrystals. The quasicrystals are modeled with delta function potentials and
created by either arranging their strengths or their spacings as a 2 letter Fibonacci word.
The transmission and reflection amplitudes are calculated using an iterative method.
A comparison is made against an ordinary crystal and a semi-random setup. The
transmission of electrons are investigated and related to the electrical conduction in the
different types of materials. We also investigate how sensitive the quasicrystals are to
perturbations, compared to crystals. Finally, a quasicrystal modeled with a 3 letter
Fibonacci word is discussed.
We find that the Fibonacci structure increases the resistance by a relatively large
factor, which makes the quasicrystals act like semiconductors. We also find tendencies
that the quasicrystals are more sensitive to perturbations compared to ordinary crystals.
The results are in good agreement with similar, earlier studies, both theoretical and experimental.
2013. , 31 p.