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