Charge transport in organic transistors accounting for a wide distribution of carrier energies, Part I : Theory

An extended theory of carrier hopping transport in organic transistors is proposed. According to many experimental studies, the density of localized states in organic thin-film transistors can be described by a double-exponential function. In this work, using a percolation model of hopping, the analytical expressions of conductivity and mobility as functions of temperature and charge concentration are obtained. The conductivity depends only on the tail states, while the mobility is determined by the total charge carriers in the semiconductor