A new loss mechanism in graphene nanoresonators due to the synthetic electric fields caused by inherent out-of-plane membrane corrugations

Journal of Physics D: Applied Physics

Volumn 45, Issue 43, 2012, Pages

  Firsova, N E ^a   Firsov, Yu A ^b  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

^b IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMECHANICAL SYSTEMS; GAUGE FIELDS; LOSS MECHANISMS; NANORESONATORS; NONSTATIONARY PROCESS; OUT-OF-PLANE; OUT-OF-PLANE DISTORTIONS; QUALITY FACTORS; QUANTUM MECHANICAL; STRAIN ENGINEERING; TIME-DEPENDENT;

ELECTRIC FIELDS; ELECTROMOTIVE FORCE; MONOLAYERS; QUANTUM THEORY; STRAIN;

GRAPHENE;

EID: 84867319945     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/45/43/435102     Document Type: Article

References (46)

1. 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 (Pubitemid 39440910)
2. Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsenelson M I, Grigorieva I V, Dubonos S V and Firsov A A 2005 Two-dimensional gas of massless Dirac fermions in graphene Nature 438 197 (Pubitemid 41599867)
3. Zhang Y et al 2005 Experimental observation of quantum Hall effect and Berry's phase in graphene Nature 438 201 (Pubitemid 41599868)
4. Peierls R E 1934 Bemerkungen uber Umwandlungstemperaturen Helv. Phys. Acta 7 81-3
5. Peierls R E 1935 Quelques proprietes typiques des corpes solides Ann. I. H. Poincare 5 177-222
6. Landau L D 1937 Zur Theorie der Phasenumwandlungen II Phys. Z. Sowjetunion 11 26-35
7. Landau L D and Lifshitz E M 1980 Statistical Physics part I (Oxford: Pergamon)
8. Mermin N D and Wagner H 1966 Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models Phys. Rev. Lett. 17 1133-6
9. Mermin N D 1968 Crystalline order in two dimensions Phys. Rev. 176 250-4
10. Meyer Jannic C, Geim A K, Katsnelson M I, Novoselov K S, Booth T J and Roth S 2007 The structure of suspended graphene sheets Nature 446 60-3 (arXiv:cond-mat/0701379) (Pubitemid 46348040)
11. Fasolino A, Los J H and Katsnelson M I 2007 Intrinsic ripples in graphene Nature Mater. 6 858-61 (Pubitemid 350050580)
12. Vozmediano M A H, Katsnelson M I and Guinea F 2011 Gauge fields in graphene Phys. Rep. 496 109
13. von Oppen F, Francisko G and Eros M 2009 Synthetic electric fields and phonon damping in carbon nanotubes and graphene Phys. Rev. B 80 075420
14. Lin Y-J, Compton R L, Jimenez-Garcia K, Phillips W D and Spielman I B 2010 A synthetic electric force acting on neutral atoms, arXiv:1008.4864v1 [cond-mat-quant-gas]
15. Cleland Andrew N 2003 Foundation of Nanomechanics (Berlin: Springer)
16. Ekinci K L and Roukes M L 2005 Nanoelectromechanical systems Rev. Sci. Instrum. 76 061101 (Pubitemid 40838577)
17. Gaidarzhy A 2007 High quality gigahertz frequencies in nanomechanical diamond resonators, arXiv:0710.2613 [cond-mat]
18. Eom K, Park H S, Sung E D and Kwon T 2011 Nanomechanical resonators and their applications in biological/chemical detection: nanomechanics principles Phys. Rep. 503 115
19. Atalaya J, Kinaret J M and Isacsson A 2010 Nanomechanical mass measurement using nonlinear response of a graphene membrane Europhys. Lett. 91 48001 (arXiv:0911.0953.v2 [cond-mat])
20. Bunch J et al 2007 Electromechanical resonators from graphene sheets Science 315 490-3 (Pubitemid 46178391)
21. Chen C et al 2009 Performance of monolayer graphene nanomechanical resonators with electrical readout Nature Nanotechnol. 4 861
22. Eichler A et al 2011 Nonlinear damping in mechanical resonators based on graphene and carbon nanotubes Nature Nanotechnol. 6 339
23. Sazonova V et al 2004 A tunable carbon nanotube electromechanical oscillator Nature 431 284 (Pubitemid 39265658)
24. Seoanez C, Guinea F and Castro Neto A N 2007 Dissipation in graphene and nanotube resonators Phys. Rev. B 76 125427
25. Lassagne B, Tarakanov Y, Kinaret J, Sanchez D-G and Bachtold A 2009 Coupling mechanics to charge transport in carbon nanotube mechanical resonators Science 325 1107
26. Kim S Y and Park Harold S 2009 The importance of edge effects on the intrinsic loss mechanisms of graphene nanoresonators Nano. Lett. 9 969
27. Jiang J W and Wang J S 2012 Why edge effects are important on the intrinsic loss mechanisms of graphene nanoresonators J. Appl. Phys. 111 054314
28. Pereira V P and Castro Neto A N 2009 All-graphene integrated circuits via strain engineering Phys. Rev. Lett. 103 046801
29. Low T and Guinea F 2010 Strain-induced pseudo-magnetic field for novel graphene electronics Nano. Lett. 10 3551
30. Guinea F, Katsnelson M I and Geim A K 2010 Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering Nature Phys. 6 30-3 (arXiv:0909.1787 [cond-mat])
31. Kim E-A and Castro Neto A N 2008 Graphene as an electronic membrane Europhys. Lett. 84 57007
32. Castro Neto Antonio H 2009 Les Houches Notes on Graphene Les Houchs School on Modern Theory of Correlated Electron Systems (arXiv:1004.3682)
33. Morozov S V, Novoselov K S, Katsnelson M I, Schedin F, Jiang D and Geim A K 2006 Strong suppression of weak localization in graphene Phys. Rev. Lett. 97 016801 (Pubitemid 44015290)
34. Katsnelson M I and Novoselov K S 2007 Graphene: new bridge between condensed matter physics and quantum electrodynamics Solid State Commun. 143 3 (Pubitemid 46874504)
35. Moser J et al 2011 Dissipative and conservative nonlinearity in carbon nanotube and graphene mechanical resonators, to appear in Fluctuating Nonlinear Oscillators arXiv:1110.1234v1 [cond-mat. Mes-nan]
36. Morpurgo A F and Guinea F 2006 Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene Phys. Rev. Lett. 97 196804 (Pubitemid 44730441)
37. Bolotin Kirill I et al 2008 Temperature dependent transport in suspended graphene Phys. Rev. Lett. 101 096802
38. Cho S and Fuhrer Michael S 2008 Charge transport and inhomogeneity near the charge neutrality point in graphene Phys. Rev. B 77 081402
39. Bolotin Kirill I et al 2008 Ultrahigh electron mobility in suspended graphene Solid State Commun. 146 351
40. Cleland A N and Roukes M L 1999 External control of dissipation in a nanometer-scale radiofrequency mechanical resonator Sensors Actuators 72 256-61
41. Feng X L et al 2007 Dissipation in single-crystal 3C-SIC ultra-high frequency nanomechanical resonators Nano Lett. 7 1953 (Pubitemid 47197573)
42. Singh V et al 2012 Coupling between quantum Hall state and electromechanics in suspended graphene resonator Appl. Phys. Lett. 100 233103 (arXiv:1202.0669v1)
43. Landau L D and Lifshitz E M 1986 Theory of Elasticity vol 7 3rd edn (Oxford: Butterworth-Heinemann)
44. Qi Z and Park Harold S 2012 Intrinsic energy dissipation in CVD-grown graphene nanoresonators Nanoscale 4 3460-5
45. Firsova Natalie E and Firsov Yuriy A 2011 Losses in monolayer graphene nanoresonators due to Joule dissipation caused by synthetic electric fields and the ways of Joule losses minimizations, arXiv:1110.5742v1
46. Bode N, Kusminskiy S V, Egger R and von Oppen F 2012 Current-induced forces in mesoscopic systems: a scattering matrix approach Belstein J. Nanotechnol. 3 144-62