Semi-classical dynamics of nano-electromechanical systems

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.

14 pages, 4 figures

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Cited by in corpus (11)

• Scattering theory of current-induced forces in mesoscopic systems
• Current-induced atomic dynamics, instabilities, and Raman signals: Quasi-classical Langevin equation approach
• Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments
• Effects of electron-phonon interaction on thermal and electrical transport through molecular nano-conductors
• Coherent properties of nano-electromechanical systems
• Electron-vibration effects on the thermoelectric efficiency of molecular junctions
• Scattering approach to backaction in coherent nanoelectromechanical systems
• Non-linear dynamics of a driven nanomechanical single electron transistor
• Vibration induced memory effects and switching in ac-driven molecular nanojunctions
• Transport through single-level systems: Spin dynamics in the nonadiabatic regime
• Transport and semiclassical dynamics of coupled quantum dots interacting with a local magnetic moment