A simple formalism within the framework of the time-dependent Green’s function theory is developed to calculate the time-varying response of molecular devices under small-signal conditions. Results are obtained for a model molecular wire consisting of benzene-1,4-dithiol sandwiched between two Au electrodes. From the analysis of the results, it is shown that, within the conceivable frequency range that would be used in a molecular electronic system, none of the existing molecular electronic device architectures is capable of exhibiting a measurable dynamic response. An energy condition is established that must be met for a molecule to exhibit a measurable dynamic response.

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