Scaling laws for charge transfer in multiply bridged donor/acceptor molecules in a dissipative environment

The ability of multiple spatial pathways to sum coherently and facilitate charge transfer is examined theoretically. The role of multiple spatial pathways in mediating charge transfer has been invoked several times in the recent literature while discussing charge transfer in proteins, while multiple spatial pathways are known to contribute to charge transport in metal-molecule-metal junctions. We look at scaling laws for charge transfer in donor-bridge-acceptor (D-B-A) molecules and show that these scaling laws change significantly when environment-induced dephasing is included. In some cases, D-B-A systems are expected to show no enhancement in the rate of charge transfer with the addition of multiple degenerate pathways. The origins of these different scaling laws are investigated by looking at which Liouville space pathways are active in different dephasing regimes.