Dimer Decimation and Intricately Nested Localized-Ballistic Phases of Kicked Harper
Abstract
Dimer decimation scheme is introduced in order to study the kicked quantum systems exhibiting localization transition. The tight-binding representation of the model is mapped to a vectorized dimer where an asymptotic dissociation of the dimer is shown to correspond to the vanishing of the transmission coefficient thru the system. The method unveils an intricate nesting of extended and localized phases in two-dimensional parameter space. In addition to computing transport characteristics with extremely high precision, the renormalization tools also provide a new method to compute quasienergy spectrum.
Cite
@article{arxiv.nlin/0102011,
title = {Dimer Decimation and Intricately Nested Localized-Ballistic Phases of Kicked Harper},
author = {Tomaž Prosen and Indubala I Satija and Nausheen R. Shah},
journal= {arXiv preprint arXiv:nlin/0102011},
year = {2008}
}
Comments
There are five postscript figures. Only half of the figure (3) is shown to reduce file size. However, missing part is the mirror image of the part shown