A probabilistic model of the electron transport in films of nanocrystals arranged in a cubic lattice

• Colloidal nanocrystal (NC) film conductivity is a topic of major importance.
• We present a probabilistic model to predict the electron conductivity in NC films.
• The model is based on the hopping probability between NCs.
• We found a good agreement between the model and data reported in literature.

The fabrication of nanocrystal (NC) films, starting from colloidal dispersion, is a very attractive topic in condensed matter physics community. NC films can be employed for transistors, light emitting diodes, lasers, and solar cells. For this reason the understanding of the film conductivity is of major importance. In this paper we describe a probabilistic model that allows the prediction of the conductivity of NC films, in this case of a cubic lattice of Lead Selenide or Cadmium Selenide NCs. The model is based on the hopping probability between NCs. The results are compared to experimental data reported in literature.