Nonlinear Damping in Graphene Resonators

Abstract

Based on a continuum mechanical model for single-layer graphene we propose and analyze a microscopic mechanism for dissipation in nanoelectromechanical graphene resonators. We find that coupling between flexural modes and in-plane phonons leads to linear and nonlinear damping of out-of-plane vibrations. By tuning external parameters such as bias and ac voltages, one can cross over from a linear to a nonlinear-damping dominated regime. We discuss the behavior of the effective quality factor in this context.

extended and revised version: 10 pages, 6 figures

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Cited by in corpus (25)

• Mesoscopic physics of nanomechanical systems
• Young's modulus of 2D materials extracted from their nonlinear dynamic response
• A Review on Flexural Mode of Graphene: Lattice Dynamics, Thermal Conduction, Thermal Expansion, Elasticity, and Nanomechanical Resonance
• Dynamics of 2D Material Membranes
• Frequency tuning, nonlinearities and mode coupling in circular graphene resonators
• Graphene multi-mode parametric oscillators
• Symmetry breaking in a mechanical resonator made from a carbon nanotube
• FPU physics with nanomechanical graphene resonators: intrinsic relaxation and thermalization from flexural mode coupling
• Time-domain response of atomically thin $\mathrm{Mo}{\mathrm{S}}_2$ nanomechanical resonators
• Nonlinear damping and dephasing in nanomechanical systems
• Strain-dependent damping in nanomechanical resonators from thin $\mathrm{Mo}{\mathrm{S}}_2$ crystals
• Strong negative nonlinear friction from induced two-phonon processes in vibrational systems
• Coupling graphene nanomechanical motion to a single-electron transistor
• Temperature Dependent Non-linear Damping in Palladium Nano-mechanical Resonators
• Suppressing Frequency Fluctuations of Self-Sustained Vibrations in Underdamped Nonlinear Resonators
• Multi-phonon relaxation and generation of quantum states in a nonlinear mechanical oscillator
• Tuning of temperature dependence of resonance frequency shift of atomically thin mechanical resonators with van der Waals heterojunction
• Nonlinear-dissipation-induced Entanglement of Coupled Nonlinear Oscillators
• Nonresonant high frequency excitation of mechanical vibrations in graphene based nanoresonator
• Diffusion-induced dissipation and mode coupling in nanomechanical resonators
• Electrically-tunable graphene nanomechanical resonators
• Entanglement Dynamics of Quantum Oscillators Nonlinearly Coupled to Thermal Environments
• Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach
• The effects of nonlinear damping on degenerate parametric amplification
• Tunable parametric amplification of a graphene nanomechanical resonator in the nonlinear regime