Flexural mode of graphene on a substrate

Abstract

Out of plane vibrations are suppressed in graphene layers placed on a substrate. These modes, in suspended samples, are relevant for the understanding of properties such as the resistivity, the thermal expansion coefficient, and other. We present a general framework for the study of the properties of out of plane modes in graphene on different substrates. We use the model to estimate the substrate induced changes in the thermal expansion coefficient, or in the temperature dependence of the resistivity.

8 pages, 5 figures

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Dynamical polarization of graphene at finite doping
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Finite temperature lattice properties of graphene beyond the quasiharmonic approximation
• Limits on electron quality in suspended graphene due to flexural phonons
• Symmetry-based approach to electron-phonon interactions in graphene
• Molecular dynamics simulations of thermal conductivity and spectral phonon relaxation time in suspended and supported graphene
• Bending modes, anharmonic effects and thermal expansion coefficient in single layer and multilayer graphene
• Temperature dependent resistivity in bilayer graphene due to flexural phonons
• Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene

Cited by in corpus (31)

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• Out-of-plane heat transfer in van der Waals stacks: electron-hyperbolic phonon coupling
• A Review on Flexural Mode of Graphene: Lattice Dynamics, Thermal Conduction, Thermal Expansion, Elasticity, and Nanomechanical Resonance
• Coupling light into graphene plasmons through surface acoustic waves
• Direct and converse flexoelectricity in two-dimensional materials
• Theory of substrate-directed heat dissipation for single-layer graphene and other two-dimensional crystals
• Thermodynamics of quantum crystalline membranes
• Flexural phonon scattering induced by electrostatic gating in graphene
• Spin memory and spin-lattice relaxation in two-dimensional hexagonal crystals
• Thickness-dependent Kapitza resistance in multilayered graphene and other two-dimensional crystals
• Theory of low power ultra-broadband terahertz sideband generation in bi-layer graphene
• Acoustically-driven surface and hyperbolic plasmon-phonon polaritons in graphene/h-BN heterostructures on piezoelectric substrates
• Quantum Thermal Machines Fuelled by Vacuum Forces
• The Electron-Phonon Coupling Constant for Single-Layer Graphene on Metal Substrates Determined from He Atom Scattering
• Spin relaxation in corrugated graphene
• Graphene as a Mechanically Active, Deformable Two-Dimensional Surfactant
• Spectroscopic investigations of phonons in epitaxial graphene
• Interplay between in-plane and flexural phonons in electronic transport of two-dimensional semiconductors
• Geometric Induction in Chiral Superfluids
• Substrate-induced reduction of graphene thermal conductivity
• Impact of nuclear vibrations on van der Waals and Casimir interactions at zero and finite temperature
• Role of acoustic phonons in frequency dependent thermal conductivity of graphene
• Elastic properties and mechanical stability of bilayer graphene: Molecular dynamics simulations
• Phonon-polaritons in Bose-Einstein condensates induced by Casimir-Polder interaction with graphene
• Phonon-induced linewidths of graphene electronic states
• Observation of increasing bending rigidity of graphene with temperature
• Cooling and entanglement of multimode graphene resonators via vacuum fluctuations
• Elastic properties of moiré lattices in epitaxial two-dimensional materials
• Anomalous circular phonon dichroism in transition metal dichalcogenides
• Epitaxial two-dimensional membranes under intrinsic and extrinsic strains
• Study of Thermal Expansion Coefficients of 2D Materials via Raman Micro-spectroscopy: Revisited