| Issue |
EPL
Volume 119, Number 3, August 2017
|
|
|---|---|---|
| Article Number | 37003 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/119/37003 | |
| Published online | 25 October 2017 | |
Transport in quasiperiodic interacting systems: From superdiffusion to subdiffusion
1 Department of Chemistry, Columbia University - 3000 Broadway, New York, NY 10027, USA
2 Department of Physics, Columbia University - 3000 Broadway, New York, NY 10027, USA
3 Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin 14195 Berlin, Germany
(a) yevgeny.barlev@columbia.edu
Received: 13 June 2017
Accepted: 25 September 2017
Using a combination of numerically exact and renormalization-group techniques we study the nonequilibrium transport of electrons in a 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 finite region 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.
PACS: 72.15.Rn – Localization effects (Anderson or weak localization)
© EPLA, 2017
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