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Graphene and other 2D materials give a platform for electromechanical sensingof biomolecules in aqueous, room temperature environments. The electroniccurrent changes in response to mechanical deflection, indicating the presenceof forces due to interactions with, e.g., molecular species. We developillustrative models of these sensors in order to give explicit, compactexpressions for the current and signal-to-noise ratio. Electromechanicalstructures have an electron transmission function that follows a generalizedVoigt profile, with thermal fluctuations giving a Gaussian smearing analogousto thermal Doppler broadening in solution/gas-phase spectroscopic applications.The Lorentzian component of the profile comes from the contact to theelectrodes. After providing an accurate approximate form of this profile, wecalculate the mechanical susceptibility for a representative two-level bridgeand the current fluctuations for electromechanical detection. These resultsgive the underlying mechanics of electromechanical sensing in more complexscenarios, such as graphene deflectometry.

Generalized Voigt broadening due to thermal fluctuations of electromechanical nanosensors and molecular electronic junctions