What Currently Limits Charge Carrier Mobility in Crystals of Molecular Semiconductors?

Charge carrier mobility is a central property that characterizes the performances of organic semiconductors and is mostly measured in field‐effect transistors. High mobility values are sought by many research teams. This article, that provides an overview of best performing molecular semiconductors is constructed on the question: What currently limits charge carrier mobility in crystals of molecular semiconductors? With this in mind, we confront, in a critical way, the current theoretical understanding to the most salient experimental results with the hope to reach a deeper understanding based on first principles and order of magnitudes of the main physical parameters.