Kubo conductivity in two-dimensional Fibonacci lattices

The electronic transport at zero degrees in quasiperiodic systems is investigated by using the Kubo–Greenwood formula and a novel renormalization method, which allows an evaluation in an exact way of the products of the Green’s function in macroscopic Fibonacci chains. The analysis of transport properties in two-dimensional Fibonacci superlattices and in double quasiperiodic lattices is carried out by means of the convolution technique. The spectrally averaged conductance shows a linear dependence with the width of the system and a power-law decay as its length increases along the applied electric field.