Semi-classical dynamics of nano-electromechanical systems

Details Semi-classical dynamics of nano-electromechanical systems Semi-classical dynamics of nano-electromechanical systems

2010-06-10

arxiv.org/abs/1006.2076v1

Phys. Rev. B 82, 165406 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 4 figures

Scientific paper

10.1103/PhysRevB.82.165406

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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