Elasticity theory of topological defects in carbon nanotubes and graphene

Philosophical Magazine Letters

Volumn 88, Issue 2, 2008, Pages 159-167

  Ertekin, E ^a   Daw, M S ^b   Chrzan, D C ^a  

^a Lawrence Berkeley National Laboratory   (United States)

^b CLEMSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; NANOSTRUCTURES; QUANTUM THEORY; TOPOLOGY;

DEFECT FORMATION ENERGIES; ELASTICITY THEORY; TOPOLOGICAL DEFECTS;

CARBON NANOTUBES;

EID: 38949168777     PISSN: 09500839     EISSN: 13623036     Source Type: Journal    
DOI: 10.1080/09500830701822104     Document Type: Article

References (44)

1. H.-Y. Chiu, V.V. Deshpande, H.W.Ch. Postma, et al., Phys. Rev. Lett 95 226101 (2005).
2. N. Mingo and D.A. Broido, Phys. Rev. Lett. 95 096105 (2005).
3. J.-C. Charlier, Acc. Chem. Res. 35 1063 (2002).
4. J. Cao, Q. Wang and H. Dai. Phys. Rev. Lett. 90 157601 (2003).
5. P.O. Lehtinen, A.S. Foster. Y. Ma, et al., Phys. Rev. Lett. 93 187202 (2004).
6. C. Berger, Z. Song, T. Li, et al., cond-mat/0410240 1 (2004).
7. N.M.R. Peres, F. Guinea and A.H. Castro Neto, cond-mat/0506709 1 (2005).
8. Ge.G. Samsonidze, G.G. Samsonidze and B.I. Yakobson, Phys. Rev. Lett. 88 065501 (2002).
9. M. Arroyo and T. Belytschko, Phys. Rev. Lett. 91 215505 (2003).
10. A.N. Kolmogorov and V.H. Crespi, Phys. Rev. Lett. 85 4727 (2000).
11. E.J. Duplock, M. Scheffler and P.J.D. Lindan, Phys. Rev. Lett. 92 225502 (2004).
12. M.S. Fuhrer, J. Nygard, L. Shih, et al., Science 288 497 (2000).
13. P.A. Williams, S.J. Papadakis, A.M. Patel, et al., Phys. Rev. Lett. 89 255502 (2002).
14. A.M. Fennimore, T.D. Yuzvinsky, W.-Q. Han, et al., Nature 424 408 (2003).
15. N. De Jonge and J.-M. Bonard, Phil. Trans. R. Soc. Lond. A 362 2239 (2004).
16. S.J. Papadakis, A.R. Hall, P.A. Williams, et al., Phys. Rev. Lett. 93 146101 (2004).
17. J.Y. Huang, S. Chen, Z.Q. Wang, et al., Nature 439 281 (2006).
18. K.S. Novoselov, A.K. Geim, S.V. Morozov, et al., Nature 197 197 (2005).
19. Y. Zhang, Y.-W. Tan, H.L. Stormer and P. Kim, Nature 438 201 (2005).
20. Z. Li, P. Charap, P. Sharma, et al., J. Appl. Phys. 97 074303 (2005).
21. H. Jiang, X.-Q. Feng, Y. Huang, et al., Comp. Meth. Appl. Mech. Engng 193 3419 (2004).
22. M.Yu. Gutkin and E.C. Aifantis, Phys. Stat. Sol. B 214 245 (1999).
23. E.C. Aifantis, Mech. Mater. 35 259 (2003).
24. J. Kioseoglou, G.P. Dimitrakopulos, P. Komninou, et al., Phys. Stat. Sol. A 203 2161 (2006).
25. R. Maranganti and P. Sharma, J. Mech. Phys. Solids 55 1823 (2007).
26. G. Kresse and J. Fürthmuller, Phys. Rev. B 54 11169 (1996).
27. G. Kresse and J. Fürthmuller, Comp. Mater. Sci. 6 15 (1996).
28. D. Vanderbilt, Phys. Rev. B 32 8412 (1985).
29. N. Lehto and S. Oberg, Phys. Rev. Lett. 80 5568 (1998).
30. X. Blase, K. Lin, A. Canning, et al., Phys. Rev. Lett 84 5780 (2000).
31. K. Lin and D.C. Chrzan, Comp. Model. Engng Sci, 2 201 (2002).
32. W. Cai, V.V. Bulatob, J. Chang, et al., Phil. Mag. 83 539 (2003).
33. M.S. Daw, Comp. Mater. Sci. 38 293 (2006).
34. T. Dumitrica and B.I. Yakobson, Appl. Phys. Lett. 84 2775 (2004).
35. L.G. Zhou and S.-Q. Shi, Appl. Phys. Lett. 83 1222 (2003).
36. Ge.G. Samsonidze, G.G. Samsonidze and B.I. Yakobson, Comp. Mat. Sci. 23 62 (2002).
37. Q. Zhao, M.B. Nardelli and J. Bernholc, Phys. Rev. B 65 144105 (2002).
38. P. Jensen, J. Gale and X. Blase, Phys. Rev. B 66 193403 (2002).
39. M.B. Nardelli, B.I. Yakobson and J. Bernholc, Phys. Rev. B 57 R4277 (1998).
40. P. Zhang, P.E. Lammert and V.H. Crespi, Phys. Rev. Lett. 81 5346 (1998).
41. J.P. Hirth and J. Lothe, Theory of Dislocations, 2nd Edition (Krieger Publishing Company, Malabar, Florida, 1982).
42. T. Mura, Proc. Roy. Soc. A280 528 (1964).
43. W. Helfrich, Z. Naturforsch 28C 693 (1973).
44. E. Ertekin, M. S. Daw and D. C. Chrzan (Unpublished research).