Conductance of Conjugated Molecular Wires: Length Dependence, Anchoring Groups, and Band Alignment

Abstract

The conductance of π-conjugated molecular wires bonded to gold electrodes at zero bias is studied using density functional theory combined with nonequilibrium Green’s function method. For all systems considered, we find that the conductance length dependence follows the simple exponential law characteristic of tunneling through a barrier, G = Gc exp(−βL). For thiophene, pyrrole, and phenyl wires with thiol end-groups, we calculate decay constants (β) of 0.211, 0.257, and 0.264 A−1, respectively, and contact conductances (Gc) of 1.25, 2.90, and 1.22G0, where G0 = 2e2/h is the conductance quantum. In comparison, the corresponding values for amine-terminated thiophene are calculated to be β = 0.160 A−1 and Gc = 0.038G0. These results show that (1) the contact resistance is mainly determined by the anchoring group and (2) the decay constant, which determines the conductance in the long wire limit, is not solely determined by the intrinsic band gap of the molecular wire but also depends on the anchoring group....