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arXiv · 1006.2076

Semi-classical dynamics of nano-electromechanical systems

R. Hussein·A. Metelmann·P. Zedler·T. Brandes
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Abstract

We investigate the dynamics of a single phonon (oscillator) mode linearly coupled to an electronic few-level system in contact with external particle reservoirs (leads). A stationary electronic current through the system generates non-trivial dynamical behaviour of the oscillator. Using Feynman-Vernon influence functional theory, we derive a Langevin equation for the oscillator trajectory that is non-perturbative in the system-leads coupling and from which we extract effective oscillator potentials and friction coefficients. For the two simplest cases of a single and two coupled electronic levels, we discuss various regimes of the oscillator dynamics.

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R. Hussein, A. Metelmann, P. Zedler, T. Brandes. 2010-06-10. Semi-classical dynamics of nano-electromechanical systems. https://doi.org/10.1103/physrevb.82.165406

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