title: Temperature scaling of effective polaron mobility in energetically disordered media.
abstract: We study effective mobility in 2 dimensional (2D) and 3 dimensional (3D) systems, where hopping transitions of carriers are described by the Marcus equation under a Gaussian density of states in the dilute limit. Using an effective medium approximation (EMA), we determined the coefficient Cd for the effective mobility expressed by μeff∝exp-λ/4kBT-Cdσ(2)/kBT(2)/λ(kBT)(3/2), where λ is the reorganization energy, σ is the standard deviation of the Gaussian density of states, and kBT takes its usual meaning. We found Cd = 1/2 for both 2D and 3D. While various estimates of the coefficient Cd for 3D systems are available in the literature, we provide for the first time the expected Cd value for a 2D system. By means of kinetic Monte-Carlo simulations, we show that the effective mobility is well described by the equation shown above under certain conditions on λ. We also give examples of analysis of experimental data for 2D and 3D systems based on our theoretical results.
authors.affiliation: Nanomaterials Research Institute (NMRI), National Institute of Advanced Industrial Science and Technology (AIST), AIST Tsukuba Central 5, Higashi 1-1-1, Tsukuba, Ibaraki 305-8565, Japan.
authors.forename: Kazuhiko
authors.initials: K
authors.lastname: Seki
authors.affiliation: Institute of Applied Radiation Chemistry, Lodz University of Technology, Wroblewskiego 15, 93-590 Lodz, Poland.
authors.forename: Mariusz
authors.initials: M
authors.lastname: Wojcik