Ripple Texturing of Suspended Graphene Atomic Membranes

Abstract

Graphene is the nature's thinnest elastic membrane, with exceptional mechanical and electrical properties. We report the direct observation and creation of one-dimensional (1D) and 2D periodic ripples in suspended graphene sheets, using spontaneously and thermally induced longitudinal strains on patterned substrates, with control over their orientations and wavelengths. We also provide the first measurement of graphene's thermal expansion coefficient, which is anomalously large and negative, ~ -7x10^-6 K^-1 at 300K. Our work enables novel strain-based engineering of graphene devices.

15 pages, 4 figures

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Cited by in corpus (257)

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• Tuning Magnetotransport in a Compensated Semimetal at the Atomic Scale
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• The deformation of wrinkled graphene
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• Anisotropic Ripple Deformation in Phosphorene
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• Electronic and optical properties of graphene nanoribbons in external fields
• Graphene as a Prototype Crystalline Membrane
• Auxetic Nanomaterials: Recent Progress and Future Development
• Comparative study of phonon spectrum and thermal expansion of graphene, silicene, germanene and blue phosphorene
• Approximate Modeling of Spherical Membrane
• Electron density distribution and screening in rippled graphene sheets
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• Transport properties of graphene across strain-induced nonuniform velocity profiles
• Strain Induced One-Dimensional Landau-Level Quantization in Corrugated Graphene
• Hierarchy of Graphene Wrinkles Induced by Thermal Strain Engineering
• Lithography-free Fabrication of High Quality Substrate-supported and Freestanding Graphene devices
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• Anomalous elasticity, fluctuations and disorder in elastic membranes
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• Directional Roll-up of Nanomembranes Mediated by Wrinkling
• Magnetoconductance Oscillations in High-Mobility Suspended Bilayer and Trilayer Graphene
• Formation of Hydrogenated Graphene Nanoripples by Strain Engineering and Directed Surface Self-assembly
• Strain Control of Magnetism in Transition-Metal-Atom Decorated Graphene
• Periodic ripples in suspended graphene
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• Dirac-Kronig-Penney model for strain-engineered graphene
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• Strains and pseudo-magnetic fields in circular graphene rings
• A scheme to realize the quantum spin-valley Hall effect in monolayer graphene
• Thermomechanical properties of graphene: valence force field model approach
• Effective Magnetic Fields in Graphene Superlattices
• Ripple modulated electronic structure of a 3D topological insulator
• Direct observation of layer-stacking and oriented wrinkles in multilayer hexagonal boron nitride
• Transport signatures of pseudo-magnetic Landau levels in strained graphene ribbons
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• Discontinuous Euler instability in nanoelectromechanical systems
• Strain-dependent damping in nanomechanical resonators from thin $\mathrm{Mo}{\mathrm{S}}_2$ crystals
• Elastic properties of graphene flakes: boundary effects and lattice vibrations
• Probing Charging and Localization in the Quantum Hall Regime by Graphene pnp Junctions
• Delineating the role of ripples on thermal expansion of honeycomb materials:graphene, 2D-h-BN and monolayer(ML)-MoS2
• Topological flat bands in strained graphene: substrate engineering and optical control
• Conductance across strain junctions in graphene nanoribbons
• Structural, chemical and dynamical trends in graphene grain boundaries
• Thermalized buckling of isotropically compressed thin sheets
• Efficient approach for simulating distorted materials
• Electronic ground state properties of strained graphene
• Coupling graphene nanomechanical motion to a single-electron transistor
• Ripplocations in Layered Materials: Sublinear Scaling and Basal Climb
• First-principles study of the thermoelectric properties of strained graphene nanoribbons
• Thermal properties of graphene from path-integral simulations
• Electron supercollimation in graphene and Dirac fermion materials using one-dimensional disorder potentials
• Strain-induced transitions to quantum chaos and effective time-reversal symmetry breaking in triangular graphene nanoflakes
• Probing the nanoscale origin of strain and doping in graphene-hBN heterostructures
• Effect of charged impurity correlation on transport in monolayer and bilayer graphene
• Correlation-induced valley topology in buckled graphene superlattices
• Strain dependence of the heat transport properties of graphene nanoribbons
• Electron dynamics in strained graphene
• Electronic and transport properties of kinked graphene
• Optical conductivity of curved graphene
• Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field
• Thermodynamic properties of graphene bilayers
• Manipulation of graphene's dynamic ripples by local harmonic out-of-plane excitation
• Irreversibility in response to forces acting on graphene sheets
• Critical radius and temperature for buckling in graphene
• Model of ripples in graphene
• Magnetic scattering of Dirac fermions in topological insulators and graphene
• Designing electronic properties of two-dimensional crystals through optimization of deformations
• Bending mode and thermal expansion of graphene
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• Thermal properties of graphene under tensile stress
• Effect of grain boundary on the buckling of graphene nanoribbons
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• Electric field-controlled rippling of graphene
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• Monitoring Electrostatically-Induced Deflection, Strain and Doping in Suspended Graphene using Raman Spectroscopy
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• Nanostructures in suspended mono- and bilayer epitaxial graphene
• Stretching graphene using polymeric micro-muscles
• Direct Imaging, Three-dimensional Interaction Spectroscopy, and Friction Anisotropy of Atomic-scale Ripples on MoS${}_2$
• Engineering the Quantum Anomalous Hall Effect in Graphene with Uniaxial Strains
• Disorder induced loss of magnetization in Lieb's graphene quantum dots
• Improved performance of graphene transistors by strain engineering
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• Optically Forged Diffraction-Unlimited Ripples in Graphene
• Raman Spectroscopy Study of Annealing-Induced Effects on Graphene Prepared by Micromechanical Exfoliation
• A Fast Uniaxial Compression of the Single-Layer MoS2
• Defects induce phase transition from dynamic to static rippling in graphene
• A bulge test based methodology for characterizing ultra-thin buckled membranes
• Elastocaloric Effect in Graphene Kirigami
• Gap engineering in strained fold-like armchair graphene nanoribbons
• Landau level splitting due to graphene superlattices
• Disorder-induced rippled phases and multicriticality in free-standing graphene
• X-rays writing/reading of Charge Density Waves in the CuO2 plane of a simple cuprate superconductor
• Inhomogeneous superconductivity in the presence of time-reversal symmetry
• Quantum effects in two-dimensional silicon carbide
• Valley-dependent Lorentz force and Aharonov-Bohm phase in strained graphene p-n junction
• Realizing One-dimensional Metallic States in Graphene via Periodically Coupled Zeroth Pseudo-Landau Levels
• Controlled ripple texturing of suspended graphene membrane due to coupling with ultracold atoms
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• Thermo-electromechanical effects in relaxed shape graphene and bandstructures of graphene quantum dots
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• Suspension and Measurement of Graphene and Bi2Se3 Atomic Membranes
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• The Effects of Free Edge Interaction-Induced Knotting on the Buckling of Monolayer Graphene
• Nanoscale Topographical Replication of Graphene Architecture by Artificial DNA nanostructures
• Critical behavior in graphene: spinodal instability at room temperature
• Determination of the STM tip-graphene repulsive forces by comparative STM and AFM measurements on suspended graphene
• Limits of Lateral Expansion in Two-Dimensional Materials with Line Defects
• Electrically-tunable graphene nanomechanical resonators
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• Strain-engineered wrinkles on graphene using polymeric actuators
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• Universal wrinkling of freestanding atomically thin films
• Low-energy quantum scattering induced by graphene ripples
• Charge carrier mobility degradation in graphene sheet under induced strain
• Apparent rippling with honeycomb symmetry and tunable periodicity observed by scanning tunneling microscopy on suspended graphene
• Extreme anharmonicity and thermal contraction of 1D wires
• Tuning Gap in Corrugated Graphene with Spin Dependence
• Optical Properties of Graphene in Magnetic and Electric fields
• Tunable Dirac points and zero-energy modes in periodic curved graphene superlattices
• Angle-dependent Weiss oscillations in a nanocorrugated two-dimensional electron gas
• Fast hydrogen atom diffraction through monocrystalline graphene
• Photothermal responsivity of van der Waals material-based nanomechanical resonators
• Directed Growth of Hydrogen Lines on Graphene: High Throughput Simulations Powered by Evolutionary Algorithm
• Spin-dependent transmission in curved graphene superlattice
• Corrugation induced stacking solitons with topologically confined states in gapped bilayer graphene
• Potential-driven eddy current in rippled graphene nanoribbons
• Study of Thermal Expansion Coefficients of 2D Materials via Raman Micro-spectroscopy: Revisited
• Uniaxial Compression of Suspended Single and Multilayer graphenes
• Perturbative renormalization and thermodynamics of quantum crystalline membranes
• Negative Thermal expansion of pure and doped Graphene
• Tunneling in rippled graphene superlattice with spin dependence and a mass term
• Diamond-shaped evolution of the superconducting interference pattern in NbTiN weak-link Josephson junctions
• Epitaxial two-dimensional membranes under intrinsic and extrinsic strains
• Elastic Constants and Bending Rigidities from Long-Wavelength Perturbation Expansions
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations
• Transport in Suspended Monolayer and Bilayer Graphene Under Strain: A New Platform for Material Studies
• Effect of Interlayer Shear to Graphene Resonators
• Feature-Rich Magnetic Quantization in Sliding Bilayer Graphenes