Elastic and nonlinear response of nanomechanical graphene devices

Journal of Micromechanics and Microengineering

Volumn 22, Issue 10, 2012, Pages

  Annamalai, M ^a   Mathew, S ^a   Jamali, M ^a   Zhan, D ^a,b   Palaniapan, M ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

AFM NANOINDENTATION; EXPERIMENTAL APPROACHES; GRAPHENE DEVICES; HIGH STIFFNESS; LAYER NUMBER; LOW MASS; NON-LINEAR RESPONSE; NONLINEAR SPRINGS; SENSING APPLICATIONS; YOUNG'S MODULUS;

ATOMIC FORCE MICROSCOPY; CONTINUUM MECHANICS; ELASTIC MODULI; MONOLAYERS; RAMAN SPECTROSCOPY;

GRAPHENE;

EID: 84866139461     PISSN: 09601317     EISSN: 13616439     Source Type: Journal    
DOI: 10.1088/0960-1317/22/10/105024     Document Type: Article

References (63)

1. Geim A K and Novoselov K S 2007 The rise of graphene Nature Mater. 6 183-91 (Pubitemid 46353764)
2. Geim A K 2009 Graphene: status and prospects Science 324 1530-4
3. Geim A K and Kim P 2008 Carbon wonderland Sci. Am. 298 90-7 (Pubitemid 351665254)
4. Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Electric field effect in atomically thin carbon films Science 306 666-9 (Pubitemid 39440910)
5. Novoselov K S, Jiang D, Schedin F, Booth T J, Khotkevich V V, Morozov S V and Geim A K 2005 Two-dimensional atomic crystals Proc. Natl Acad. Sci. USA 102 10451-3 (Pubitemid 41061574)
6. Bargatin I, Myers E B, Aldridge J S, Marcoux C, Brianceau P, Duraffourg L, Colinet E, Hentz S, Andreucci P and Roukes M L 2012 Large-scale integration of nanoelectromechanical systems for gas sensing applications Nano Lett. 12 1269-74
7. Li M, Tang H X and Roukes M L 2007 Ultra-sensitive NEMS-based cantilevers for sensing, scanned probe and very high-frequency applications Nature Nanotechnol. 2 114-20 (Pubitemid 46226371)
8. Roukes M L 2000 Nanoelectromechanical systems Technical Digest of the Solid-State Sensor and Actuator Workshop 367-76
9. Chaste J, Eichler A, Moser J, Ceballos G, Rurali R and Bachtold A 2012 A naomechanical mass sensor with yoctogram resolution Nature Nanotechnol. 7 301-4
10. Plummer J D and Griffin B 2001 Material and process limits in silicon VLSI technology Proc. IEEE 89 240-58 (Pubitemid 33766575)
11. Zhao H, Min K and Aluru N R 2009 Size and chirality dependent elastic properties of graphene nanoribbons under uniaxial tension Nano Lett. 9 3012-5
12. Lee C, Wei X, Kysar J W and Hone J 2008 Measurement of the elastic properties and intrinsic strength of monolayer graphene Science 321 385-8 (Pubitemid 352029970)
13. Schedin F, Geim A K, Morozov S V, Hill E W, Blake P, Katsnelson M I and Novoselov K S 2007 Detection of individual gas molecules adsorbed on graphene Nature Mater. 6 652-5 (Pubitemid 47359547)
14. Lemme M C, Echtermeyer T J, Baus M and Kurz H 2007 A graphene field-effect device IEEE Elec. Dev. Lett. 28 282-4
15. Williams J R, DiCarlo L and Marcus C M 2007 Quantum hall effect in a gate-controlled p-n junction of graphene Science 317 638-41 (Pubitemid 47240916)
16. Barone V, Hod O and Scuseria G E 2006 Electronic structure and stability of semiconducting graphene nanoribbons Nano Lett. 6 2748-54 (Pubitemid 46129565)
17. Han M Y, Özyilmaz B, Zhang Y and Kim P 2007 Energy band-gap engineering of graphene nanoribbons Phys. Rev. Lett. 98 206805 (Pubitemid 47139572)
18. Wang Z F, Shi Q W, Li Q, Wang X, Hou J G and Zheng H 2007 Z-shaped graphene nanoribbon quantum dot device Appl. Phys. Lett. 91 053109 (Pubitemid 47210843)
19. Özyilmaz B, Jarillo H P, Efetov D and Kim P 2007 Electronic transport in locally gated graphene nanoconstrictions Appl. Phys. Lett. 91 192107 (Pubitemid 350097886)
20. Liu M, Yin X, Ulin-Avila E, Geng B, Zentgraf T, Ju L, Wang F and Zhang X 2011 A graphene-based broadband optical modulator Nature 474 64-7
21. Wu J, Agrawal M, Becerril H A, Bao Z, Liu Z, Chen Y and Peumans P 2010 Organic light-emitting diodes on solution-processed graphene transparent electrodes ACS Nano 4 43-8
22. Matyba P, Yamaguchi H, Eda G, Chhowalla M, Edman L and Robinson N D 2010 Graphene and mobile ions: The key to all-plastic, solution-processed light-emitting devices ACS Nano 4 637-42
23. Hill E W, Geim A K, Novoselov K, Schedin F and Blake P 2007 Graphene spin valve devices IEEE Trans. Magn. 42 2694-96
24. Bunch J S, van der Zande A M, Verbridge S S, Frank I W, Tanenbaum D M, Parpia J M, Craighead H G and McEuen P L 2007 Electromechanical resonators from graphene sheets Science 315 490-3 (Pubitemid 46178391)
25. Garcia-Sanchez D, van der Zande A M, San Paulo A, Lassagne B, McEuen P L and Bachtold A 2008 A Imaging mechanical vibrations in suspended graphene sheets Nano Lett. 8 139-1403
26. Chen C, Rosenblatt S, Bolotin K L, Kalb W, Kim P, Kymissis I, Stormer H L, Heinz T F and Hone J 2009 Performance of monolayer graphene nanomechanical resonators with electrical readout Nature Nanotechnol. 4 861-7
27. Robinson J T, Zalalutdinov M, Baldwin J W, Snow E S, Wei Z, Sheehan P and Houston B H 2008 Wafer-scale reduced graphene oxide films for nanomechanical devices Nano Lett. 8 3441-5
28. van der Zande A M, Barton R A, Alden J S, Ruiz-Vargas C S, Whitney W S, Pham P H Q, Parks J S, Parpia J M, Craighead H G and McEuen P L 2010 Large-scale arrays of single-layer graphene resonators Nano Lett. 10 4869-73
29. Wong C-L, Annamalai M, Wang Z -Q and Palaniapan M 2010 Characterization of nanomechanical graphene drum structures J. Micromech. Microeng. 20 115029
30. Frank I W, Tanenbauma D M, van der Zande A M and McEuen P L 2007 Mechanical properties of suspended graphene sheets J. Vac. Sci. Technol. B 25 2558-61 (Pubitemid 350255935)
31. Poot M and van der Zant H S J 2008 Nanomechanical properties of few-layer graphene membranes Appl. Phys. Lett. 92 063111 (Pubitemid 351263853)
32. Zan R et al 2012 Scanning tunneling microscopy of suspended graphene Nanoscale 4 3065-8
33. Xu P et al 2012 Atomic control of strain in freestanding graphene Phys. Rev. B 85 121406
34. Neek-Amal M and Peeters F M 2010 Linear reduction of stiffness and vibration frequencies in defected circular monolayer graphene Phys. Rev. B 81 235437
35. Hemmasizadeh A, Mahzoon M, Hadi E and Khandan R 2008 A method for developing the equivalent continuum model of a single layer graphene sheet Thin Solid Films 516 7636-40
36. Lu Q and Huang R 2009 Nonlinear mechanics of single-atomic-layer graphene sheets Int. J. Appl. Mech. 1 443-67
37. Sadeghi M and Naghdabadi R 2010 Nonlinear vibrational analysis of single-layer graphene sheets Nanotechnology 21 105705
38. Scarpa F, Adhikari S, Gil A J and Remillat C 2010 The bending of single layer graphene sheets: the lattice versus continuum approach Nanotechnology 21 125702
39. Franklin R E 1951 The structure of graphitic carbons Acta Crystallogr. 4 253-61
40. 2 Nano Lett. 7 2707-10 (Pubitemid 47522425)
41. Ni Z H, Wang H M, Kasim J, Fan H M, Yu T, Wu Y H, Feng Y P and Shen Z X 2007 Graphene thickness determination using reflection and contrast spectroscopy Nano Lett. 7 2758-63 (Pubitemid 47522434)
42. Nemes-Incze P, Osvath Z, Kamaras K and Biro L P 2008 Anomalies in thickness measurements of graphene and few layer graphite crystals by tapping mode atomic force microscopy Carbon 46 1435-42
43. Ferrari A C et al 2006 Raman spectrum of graphene and graphene layers Phys. Rev. Lett. 97 187401 (Pubitemid 44658281)
44. Chen J H, Cullen W G, Jang C, Fuhrer M S and Williams E D 2008 Defect scattering in graphene Phys. Rev. Lett. 102 236805
45. Caņado L G, Jorio A, Martins Ferreira E H, Stavale F, Achete C A, Capaz R B, Moutinho M V O, Lombardo A, Kulmala T S and Ferrari A C 2011 Quantifying defects in graphene via raman spectroscopy at different excitation energies Nano Lett. 11 3190-6
46. Krauss B, Lohmann T, Chae D-H, Haluska M, von Klitzing K and Smet J H 2009 Laser-induced disassembly of a graphene single crystal into a nanocrystalline network Phys. Rev. B 79 165428
47. Ni Z H, Wang H M, Kasim J, Fan H M, Yu T, Wu Y H, Feng Y P and Shen Z X 2007 Graphene thickness determination using reflection and contrast spectroscopy Nano Lett. 9 2758-63 (Pubitemid 47522434)
48. Graf D, Molitor F, Ensslin K, Stampfer C, Jungen A, Hierold C and Wirtz L 2007 Spatially resolved Raman spectroscopy of single- and few-layer graphene Nano Lett. 7 238-42 (Pubitemid 46383577)
49. Salerno M and Bykov I 2006 Mapping adhesion forces and calculating elasticity in contact-mode AFM Microsc. Anal. 20 S5-S8
50. Timoshenko S P and Woinkowsky-Krieger S 1959 Theory of Plates and Shells (New York: McGraw-Hill)
51. Landau L D, Pitaevskii L P, Lifshitz E M and Kosevich A M 1959 Theory of Elasticity (London: Butterworth-Heinemann)
52. Blakslee O L, Proctor D G, Seldin E J, Spence G B and Weng T 1970 Elastic constants of compression-annealed pyrolytic graphite J. Appl. Phys. 41 3373-83
53. Gupta S S and Batra R C 2010 Elastic properties and frequencies of free vibrations of single-layer graphene sheets J. Comput. Theor. Nanoscience 7 2151-64
54. Annamalai M, Mathew S, Viswanathan V, Fang C, Pickard D S and Palaniapan M 2011 Design, fabrication and helium ion microscope patterning of suspended nanomechanical graphene structures for NEMS applications Transducers 2011: Solid-State Sensors, Actuators and Microsystems Conf. pp 2578-81
55. Koenig S P, Boddeti N G, Dunn M L and Bunch J S 2011 Ultrastrong adhesion of graphene membranes Nature Nanotechnol. 6 543-6
56. Duan W H and Wang C M 2009 Nonlinear bending and stretching of a circular graphene sheet under a central point load Nanotechnology 20 075702
57. Konstantinova E, Dantas S O and Barone P M V B 2006 Electronic and elastic properties of two-dimensional carbon planes Phys. Rev. B 74 035417 (Pubitemid 44061127)
58. Hernandex E, Goze C, Bernier P and Rubio A 1998 Elastic properties of single wall carbon nanotubes Phys. Rev. Lett. 80 4502-5
59. Lee J U, Yoon D and Cheong H 2012 Estimation of Young's modulus by Raman 31st Int. Conf. on Physics of Semiconductors (arXiv:1208.2309v1)
60. Bao W X, Zhu C C and Cui W Z 2004 Simulation of young's modulus of single-walled carbon nanotubes by molecular dynamics Physica B 352 156-63
61. Zhao H, Min K and Aluru N R 2009 Size and chirality dependent elastic properties of graphene nanoribbons under uniaxial tension Nano Lett. 9 3012-5
62. Gere J M and Timoshenko S P 1997 Mechanics of materials (Boston, MA: PWS)
63. Mathew S, Chan T K, Zhan D, Gopinadhan K, Barman A-R, Breese M B H, Dhar S, Shen Z X, Venkatesan T and John Thong T L 2011 The effect of layer number and substrate on the stability of graphene under MeV proton beam irradiation Carbon 49 1720-6