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We study how polariton condensation modifies charge transport in organicmaterials. In typical organic materials, charge transport proceeds viaincoherent hopping. We therefore provide an approach to determine how the rateand final state of this hopping process is affected by strong matter-lightcoupling and polariton condensation. We show how the hopping process may createexcitations when starting from a state with a finite excitation density. Thatis, how hopping can change the state of a lower polariton condensate bycreating upper polaritons, optically inactive excitonic dark states, or byexciting vibrational sidebands. While the matrix elements for these processescan be large, for typical materials at room temperature, such excitations aresuppressed by thermal factors, and ground state processes dominate. We thusstudy how the ground state hopping rate depends on condensate density,matter-light coupling, and cavity photon detuning. All these factors change thevibrational configuration associated with the optically active molecules, whichcan enhance or suppress hopping by increasing or decreasing the vibrationaloverlap with the state of a charged molecule. We show that hopping rates can beexponentially sensitive to detuning and condensate density, allowing anincrease or decrease of hopping rate by two orders of magnitude.

Incoherent charge transport in an organic polariton condensate