In Eq. 10 N ef f is an effective number of particles with that the carrier can interact in a given correlation time. Note that the correlations giving a large N ef f have a significant impact 20 on the attempt frequency, assuming Arrhenius kinetics. However, these correlations do not influence the energy barriers involved in the process. This highlights the improvement of the conductivity with the factors governing the attempt frequency 40 rather than the energy barriers in the given system.