Dimer decimation and intricately nested localized-ballistic phases of a kicked Harper model - art. no. 066601

A new decimation scheme is introduced to study localization transitions in tight binding models with long range interaction. Within this scheme, the l attice models are mapped to a vectorized dimer where an asymptotic dissocia tion of the dimer is shown to correspond to the vanishing of the transmissi on coefficient through the system. When applied to the kicked Harper model, the method unveils an intricately nested extended and localized phases in two-dimensional parameter space. In addition to computing transport charact eristics with extremely high precision, the renormalization tools also prov ide a new method to compute quasienergy spectrum.