| Issue |
EPL
Volume 117, Number 3, February 2017
|
|
|---|---|---|
| Article Number | 30003 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/117/30003 | |
| Published online | 31 March 2017 | |
Spread of wave packets in disordered hierarchical lattices
Department of Physics, University of Isfahan (UI) - Hezar Jerib, 81746-73441, Isfahan, Iran
Received: 13 November 2016
Accepted: 11 March 2017
We consider the spreading of a wave packet in the generalized Rosenzweig-Porter random matrix ensemble in the region of the non-ergodic extended states 
. We show that although non-trivial fractal dimensions 
characterize wave function statistics in this region, the wave packet spreading 
is governed by the “diffusion” exponent 
outside the ballistic regime 
and 
in the ballistic regime for 
. This demonstrates that the multifractality appears only in local quantities like the wave packet survival probability but not in the large-distance spreading of the wave packet.
PACS: 05.60.Gg – Quantum transport / 64.60.al – Fractal and multifractal systems / 72.15.Rn – Localization effects (Anderson or weak localization)
© EPLA, 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.