Renormalization approach to the Kubo formula in Fibonacci systems -: art. no. 174205

A renormalization method is developed for the Kubo-Greenwood formula, in order to analyze the electronic transport in large quasiperiodic lattices at zero temperature, within a tight-binding model. The results show a scaling invariance of the conduction spectrum around the transparent state, where a periodic oscillating pattern is found. However, the dc conductivity averaged over the transmission window of the leads presents a significant reduction, when the system size becomes macroscopic. A detailed study of the boundary-condition effects on the ac conductivity reveals the robustness of the transparent states, contrary to that observed in other high dc-conduction states.