Electronic transport in aperiodic nanosheets, nanotubes and nanowires

Based on the Kubo-Greenwood formula, we study the electronic transport in cubically-structured quasiperiodic nanosheets, nanotubes and nanowires, where the nanotubes are made by connecting one of the boundaries of a square-lattice sheet and the nanowires have a cross section of 90$\times $90 atoms. Calculations of electrical conductivity were performed by using a tight-binding Hamiltonian and by combining the convolution theorem with the real-space renormalization method [1]. The \textit{dc} conductance shows quantized spectra, where nanotubes have steps with a double height in comparison with those of a nanosheet, both in contrast to an inhomogeneous step structure derived from nanowires. The \textit{ac} conductivity shows a Drude and an oscillating behavior, when the electric field is along a periodic or quasiperiodic direction, respectively. Finally, the theoretical results are compared with experimental data. \\[4pt] [1] V. Sanchez and C. Wang, \textit{Phys. Rev. B} \textbf{70}, 144207 (2004).