Mobility edges in a one-dimensional system with incommensurate potentials

We use the transfer-matrix technique to compute the resistivity of the Aubry model and its Soukoulis-Economou modification. The results confirm the structure of mobility edges found earlier with the diffusionless criterion. Near the mobility edge $E_c$ in the insulating side, the localization length ξ(E) diverges as ‖E-$E_c$ ${\Vert }^{\gamma }$, with γ≃1. .AE