Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
Abstract
Using a combination of numerically exact and renormalization-group techniques we study the nonequilibrium transport of electrons in an one-dimensional interacting system subject to a quasiperiodic potential. For this purpose we calculate the growth of the mean-square displacement as well as the melting of domain walls. While the system is nonintegrable for all studied parameters, there is no on finite region default of parameters for which we observe diffusive transport. In particular, our model shows a rich dynamical behavior crossing over from superdiffusion to subdiffusion. We discuss the implications of our results for the general problem of many-body localization, with a particular emphasis on the rare region Griffiths picture of subdiffusion.
Cite
@article{arxiv.1702.04349,
title = {Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion},
author = {Yevgeny Bar Lev and Dante M. Kennes and Christian Klöckner and David R. Reichman and Christoph Karrasch},
journal= {arXiv preprint arXiv:1702.04349},
year = {2017}
}
Comments
6 pages, 5 figures. A more detailed analysis of the dynamical exponents extraction and discussion of the relevant times. Adds a log-derivative for the FRG section