Exact Solution for Hopping Dissociation of Geminate Electron-Hole Pairs in a Disordered Chain

A universal theoretical description of the dissociation problem for electron-hole pair on a one-dimensional chain in the hopping regime is proposed. Widely used results of Frenkel and Onsager theories are obtained as particular cases of the general solution. The application of the analytical theory to disordered chains shows that disorder enhances dissociation of geminate electron-hole pairs at low electric fields and suppresses at high fields.