Temperature-Dependent ac Conductivity of the Fibonacci Lattice

A new practical equation is derived from the Miller-Abrahams theory for different site-energies, and the temperature-dependent conductivity of Fibonacci lattice is calculated by a real-space renormalization-group approach. It is shown that there exist two types of temperature-dependent conductivity at low- and high-frequencies. Furthermore, it is found that the low-frequency conductivity oscillates dramatically with temperature.