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Dimer Decimation and Intricately Nested Localized-Ballistic Phases of a Kicked Harper Model

Dimer Decimation and Intricately Nested Localized-Ballistic Phases of a Kicked Harper Model

A new decimation scheme is introduced to study localization transitions in tight binding models with long range interaction. Within this scheme, the lattice models are mapped to a vectorized dimer where an asymptotic dissociation of the dimer is shown to correspond to the vanishing of the transmission coefficient through the …