Electronic transmission and switch effect in kappa-component Fibonacci nanowires

We present the electronic transport in the k-component Fibonacci (KCF) nanowires, in which kappa different incommensurate intervals are arranged according to a substitution rule. For the KCF nanowires with an identical kappa, by increasing the length of the nanowire, the minima in transmission extend gradually into the band gap over which the transmission is blocked. Meanwhile more transmission peaks appear. For finite KCF nanowire, by increasing the number of different incommensurate intervals kappa, the width of electronic band gap is enlarged. Moreover, when the value of kappa is sufficiently large, the transmission is shut off, except at a few resonant energies. These properties make it possible to use the KCF nanowires as switching devices. Furthermore, a dimensional spectrum of singularities associated with the transmission spectrum demonstrates that the electronic propagation in the KCF nanowire shows multifractality. These investigations open a unique way to control quantum transport in nanodevices.