(Un)avoidable energy loss during carrier extraction in polymer:fullerene solar cells
a Linköping University, Sweden, SE-581 83, Linköping, Sweden
b Research Group for Organic Optoelectronics, Max Planck Institute for Polymer Research, Mainz, Ackermannweg, 10, Mainz, Germany
c Delft University of Technology, The Netherlands, Julianalaan, 136, Delft, Netherlands
International Conference on Hybrid and Organic Photovoltaics
Proceedings of International Conference on Hybrid and Organic Photovoltaics 2015 (HOPV15)
Proceedings of International Conference on Hybrid and Organic Photovoltaics 2015 (HOPV15)
Roma, Italy, 2015 May 11th - 13th
Organizer: Filippo De Angelis
Oral, Martijn Kemerink, presentation 030
Publication date: 5th February 2015
Publication date: 5th February 2015
Compared to other photovoltaic systems, organic bulk-heterojunction solar cells (OSC) suffer from large voltage losses. Although various rules of thumb exist to estimate the magnitude of this loss, its origin is still debated. Here we investigate the energy loss due to relaxation of photogenerated charge carriers in the disordered density of states (DOS). Combining experimental and numerical techniques we find that this loss channel can amount to 0.1-0.3 eV for both the electrons and the holes, i.e. 0.2-0.6 eV in total, with large variation between materials.
More specifically, by a combination of time-resolved optical/electro-optical experiments and kinetic Monte Carlo simulations we show that as photo-generated charge carriers are transported to the extracting electrode they gradually lose energy to continuous thermalization in the DOS. In fact, the charge carriers are extracted before even reaching equilibrium. The free charge carrier thermalization mechanism is fundamentally different from that in inorganic photovoltaic devices. We identify it as a two-step process:
1) Following charge transfer a fast (1-100 ns) thermalization loss of the order of 1-2σ occurs (σ≈0.05-0.1 eV the DOS width), during which an average charge carrier makes multiple hops but does effectively not move any closer to the extracting electrode. The excess energy is wasted to undirected (diffusive) motion, which dominates over directed (drift) motion at early time scales. This fraction of the loss is unavoidable.
2) Gradually charge carrier drift overcomes diffusion. The charge carrier is transported to the extracting electrode, its remaining excess energy is continuously lost by further thermalization in the DOS; an additional loss of the order of 0.5-1σ occurs. This loss is reduced in thinner devices.
Since thermalization occurs downhill in energy it boosts charge carrier motion, leading to a strongly time-dependent mobility, which we independently confirm by direct experiments. We identify the time and distance scales which are relevant for charge extraction in OPV devices and show that experimental techniques which probe the mobility of (almost) relaxed charge-carriers are not meaningful to OPV device operation. Therefore to correctly describe the device physics of operating OPV devices non-equilibrium effects related to the gradual thermalization of the charge carrier populations must be taken into account.
Schematic description of charge carrier thermalization in OPV. First, most of the excess energy is lost by diffusion, as indicated by the red arrow going mostly downward. At later time scales the drift component of motion gradually overcomes diffusion and extraction begins. During transport to the electrode (yellow, mostly horizontal arrow) the remainder of the excess energy is continuously lost by further thermalization. Charges are extracted from the photovoltaic device before reaching equilibrium.
Schematic description of charge carrier thermalization in OPV. First, most of the excess energy is lost by diffusion, as indicated by the red arrow going mostly downward. At later time scales the drift component of motion gradually overcomes diffusion and extraction begins. During transport to the electrode (yellow, mostly horizontal arrow) the remainder of the excess energy is continuously lost by further thermalization. Charges are extracted from the photovoltaic device before reaching equilibrium.
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