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

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 $t$ 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.

References in corpus (1)

• Excitons in Molecular Aggregates with Lévy Disorder: Anomalous Localization and Exchange Broadening of Optical Spectra

Cited by in corpus (3)

• Coherent transient exciton transport in disordered polaritonic wires
• Disentangling enhanced diffusion and ballistic motion of excitons coupled to Bloch surface waves with molecular dynamics simulations
• Elucidating the Synergetic Interplay between Average Intermolecular Coupling and Coupling Disorder in Short-Time Exciton Transfer