Anisotropic straining of graphene using micropatterned SiN membranes
Source abstract
Abstract
We use micro-Raman spectroscopy to study strain in free-standing graphene monolayers anchored to SiN holes of non-circular geometry. We show that a uniform differential pressure load yields measurable deviations from hydrostatic strain, conventionally observed in radially symmetric microbubbles. A pressure load of 1 bar yields a top hydrostatic strain of ≈ 0.7% and a G± splitting of 10 cm−1 in graphene clamped to elliptical boundaries with axes 40 and 20 μm, in good agreement with the calculated anisotropy Δε ≈ 0.6% and consistently with recent reports on Grüneisen parameters. The implementation of arbitrary strain configurations by designing suitable boundary clamping conditions is discussed.
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Research context
OpenAlex topics: Graphene research and applications · Diamond and Carbon-based Materials Research · Carbon Nanotubes in Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Istituto Nanoscienze-CNR and Scuola Normale Superiore 1 NEST, , I-56126 Pisa, Italy
2Fondazione Bruno Kessler (FBK), Via Sommarive 18, 38123 Povo, Trento, Italy
Istituto Italiano di Tecnologia 3 Center for Nanotechnology Innovation @NEST, , Piazza San Silvestro 12, 56127 Pisa, Italy
Istituto Italiano di Tecnologia 4 Graphene Labs, , Via Morego 30, I-16163 Genova, Italy
Università di Pisa 5 Dipartimento di Fisica “E. Fermi”, , Largo Pontecorvo 3, I-56127 Pisa, Italy
University of Bologna 6 DICAM, , Via Terracini 28, I-40136 Bologna, Italy
Funding
European Research Council
References (36)
Show source-provided references
1. Two-dimensional atomic crystals10.1073/pnas.0502848102 ↗
2. The rise of graphene10.1038/nmat1849 ↗
3. The electronic properties of graphene10.1103/revmodphys.81.109 ↗
4. Measurement of the elastic properties and intrinsic strength of monolayer graphene10.1126/science.1157996 ↗
5. Strain engineering of graphene electronic structure10.1103/PhysRevLett.103.046801 ↗
6. Strain-induced pseudomagnetic field for novel graphene electronics10.1021/nl1018063 ↗
7. Strain engineering in graphene10.1016/j.ssc.2012.04.019 ↗
8. Resonant tunneling in graphene pseudomagnetic quantum dots10.1021/nl400872q ↗
9. Graphene: Status and prospects10.1126/science.1158877 ↗
10. Strain-induced pseudo–magnetic fields greater than 300 tesla in graphene nanobubbles10.1126/science.1191700 ↗
11. Artificial honeycomb lattices for electrons, atoms and photons10.1038/nnano.2013.161 ↗
12. Energy gaps and a zero-field quantum hall effect in graphene by strain engineering10.1038/nphys1420 ↗
13. Impermeable atomic membranes from graphene sheets10.1021/nl801457b ↗
14. How graphene slides: Measurement and theory of strain-dependent frictional forces between graphene and SiO210.1021/nl4007112 ↗
15. Ultrastrong adhesion of graphene membranes10.1038/nnano.2011.123 ↗
16. Raman spectroscopy of highly pressurized graphene membranes10.1063/1.4952972 ↗
17. Raman spectroscopy of graphene and bilayer under biaxial strain: Bubbles and balloons10.1021/nl203359n ↗
18. Estimation of youngs modulus of graphene by raman spectroscopy10.1021/nl301073q ↗
19. Pseudomagnetic fields in a locally strained graphene drumhead10.1103/PhysRevB.90.075426 ↗
20. Tip-enhanced raman mapping of local strain in graphene10.1088/0957-4484/26/17/175702 ↗
21. Effects of controllable biaxial strain on the raman spectra of monolayer graphene prepared by chemical vapor deposition10.1063/1.4809922 ↗
22. Raman spectroscopy of graphene at high pressure: Effects of the substrate and the pressure transmitting media10.1103/PhysRevB.88.045418 ↗
23. Biaxial strain in graphene adhered to shallow depressions10.1021/nl901625v ↗
24. Phonon softening and crystallographic orientation of strained graphene studied by raman spectroscopy10.1073/pnas.0811754106 ↗
25. Uniaxial strain in graphene by raman spectroscopy: G peak splitting, Grüneisen parameters, and sample orientation10.1103/PhysRevB.79.205433 ↗
26. Uniaxial strain on graphene: Raman spectroscopy study and band-gap opening10.1021/nn800459e ↗
27. Controlled, reversible, and nondestructive generation of uniaxial extreme strains (>10%) in graphene10.1021/nl5016848 ↗
28. Strain engineering of graphene: A review10.1039/C5NR07755A ↗
29. Rapid cvd growth of millimetre-sized single crystal graphene using a cold-wall reactor10.1088/2053-1583/2/1/014006 ↗
30. Repeated growth and bubbling transfer of graphene with millimetre-size single-crystal grains using platinum10.1038/ncomms1702 ↗
31. Grüneisen parameter of the G mode of strained monolayer graphene10.1103/PhysRevB.83.115449 ↗
32. Splitting of the raman 2 d band of graphene subjected to strain10.1103/PhysRevB.82.201409 ↗
33. Phonons and related crystal properties from density-functional perturbation theory10.1103/RevModPhys.73.515 ↗
34. Quantum espresso: A modular and open-source software project for quantum simulations of materials10.1088/0953-8984/21/39/395502 ↗
35. Efficient pseudopotentials for plane-wave calculations10.1103/PhysRevB.43.1993 ↗
36. Special points for brillouin-zone integrations10.1103/PhysRevB.13.5188 ↗