Conductance fluctuations in one-dimensional quasicrystals

We calculate the electronic resistance of a finite one-dimensional Fibonacci-sequence quasicrystal. We find that as a function of the electron energy (or, equivalently, the applied voltage) the electrical resistance of such quasicrystals shows strong fluctuations as resonant tunneling occurs through allowed energy states of the system. Evidence for power-law localization and self-similarity can be seen in the calculated transport properties and should be observable in artificially structured Fibonacci-sequence semiconductor superlattices.