Surface dissipation in nanoelectromechanical systems: Unified description with the standard tunneling model and effects of metallic electrodes

Abstract

By modifying and extending recent ideas [C. Seoanez et al., Europhys. Lett. 78, 60002 (2007)], a theoretical framework to describe dissipation processes in the surfaces of vibrating micro- and nanoelectromechanical devices, thought to be the main source of friction at low temperatures, is presented. Quality factors as well as frequency shifts of flexural and torsional modes in doubly clamped beams and cantilevers are given, showing the scaling with dimensions, temperature, and other relevant parameters of these systems. Full agreement with experimental observations is not obtained, leading to a discussion of limitations and possible modifications of the scheme to reach a quantitative fitting to experiments. For nanoelectromechanical systems covered with metallic electrodes, the friction due to electrostatic interaction between the flowing electrons and static charges in the device and substrate is also studied.

17 pages, 7 figures

References in corpus (18)

• Thermoelastic Damping in Micro- and Nano-Mechanical Systems
• Ultrasensitive nanoelectromechanical mass detection
• Cooling a nanomechanical resonator with quantum back-action
• On the spin--boson model with a sub--Ohmic bath
• Classical to Quantum Transition of a Driven Nonlinear Nanomechanical Resonator
• Probing tiny motions of nanomechanical resonators: classical or quantum mechanical?
• Evidence for Quantized Displacement in Macroscopic Nanomechanical Oscillators
• A Quantum Non-demolition measurement of Fock states of mesoscopic mechanical oscillators
• Dynamical Response of Nanomechanical Oscillators in Immiscible Viscous Fluid for in vitro Biomolecular Recognition
• Quantum Friction in Nanomechanical Oscillators at Millikelvin Temperatures
• Continous Measurement of the Energy Eigenstates of a Nanomechanical Resonator without a Non-Demolition Probe
• Dissipation due to two-level systems in nano-mechanical devices
• Quantum Friction of Micromechanical Resonators at Low Temperatures
• Measurement of energy eigenstates by a slow detector
• Electronic lifetimes in ballistic quantum dots electrostatically coupled to metallic environments
• Electromechanical noise in a diffusive conductor
• Electronic dephasing in wires due to metallic gates
• Acoustic Properties of Amorphous Solids at Very Low Temperatures: The Quest for Interacting Tunneling States

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