Doped organic semiconductors
are critical to emerging device applications,
including thermoelectrics, bioelectronics, and neuromorphic computing
devices. It is commonly assumed that low conductivities in these materials
result primarily from charge trapping by the Coulomb potentials of
the dopant counterions. Here, we present a combined experimental and
theoretical study rebutting this belief. Using a newly developed doping
technique based on ion exchange, we prepare highly doped films with
several counterions of varying size and shape and characterize their
carrier density, electrical conductivity, and paracrystalline disorder.
In this uniquely large data set composed of several classes of high-mobility
conjugated polymers, each doped with at least five different ions,
we find electrical conductivity to be strongly correlated with paracrystalline
disorder but poorly correlated with ionic size, suggesting that Coulomb
traps do not limit transport. A general model for interacting electrons
in highly doped polymers is proposed and carefully parametrized against
atomistic calculations, enabling the calculation of electrical conductivity
within the framework of transient localization theory. Theoretical
calculations are in excellent agreement with experimental data, providing
insights into the disorder-limited nature of charge transport and
suggesting new strategies to further improve conductivities.