Short-time particle motion in one and two-dimensional lattices with site disorder
Chemical Physics
2023-05-10 v1
Abstract
Like a free particle, the initial growth of a broad (relative to lattice spacing) wavepacket placed on an ordered lattice is slow (zero initial slope) and becomes linear in at long time. On a disordered lattice, the growth is inhibited at long time (Anderson localization). We consider site disorder with nearest-neighbor hopping on 1- and 2-dimensional systems, and show via numerical simulations supported by the analytical study that the short time growth of the particle distribution is faster on the disordered lattice than on the ordered one. Such faster spread takes place on time and length scale that may be relevant to the exciton motion in disordered systems.
Keywords
Cite
@article{arxiv.2303.02026,
title = {Short-time particle motion in one and two-dimensional lattices with site disorder},
author = {Bingyu Cui and Maxim Sukharev and Abraham Nitzan},
journal= {arXiv preprint arXiv:2303.02026},
year = {2023}
}