Short-time particle motion in one and two-dimensional lattices with site disorder

Bingyu Cui*, Maxim Sukharev, Abraham Nitzan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


As in the case of a free particle, the initial growth of a broad (relative to lattice spacing) wavepacket placed on an ordered lattice is slow (its time derivative has zero initial slope), and the spread (root mean square displacement) becomes linear in t at a long time. On a disordered lattice, the growth is inhibited for a long time (Anderson localization). We consider site disorder with nearest-neighbor hopping on one- and two-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 scales that may be relevant to the exciton motion in disordered systems.

Original languageEnglish
Article number164112
Number of pages6
JournalJournal of Chemical Physics
Issue number16
StatePublished - 28 Apr 2023


FundersFunder number
National Science FoundationCHE1953701
Air Force Office of Scientific ResearchFA9550-22-1-0175


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