Screening effects between field-enhancing patterned carbon nanotubes: A numerical study

IEEE Transactions on Electron Devices

Volumn 55, Issue 6, 2008, Pages 1298-1305

  Dionne, Martin ^a   Coulombe, Sylvian ^a   Meunier, Jean Luc ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Carbon nanotubes (CNTs); Electric field enhancement; Field emission

Indexed keywords

ANISOTROPY; ELECTRIC CURRENTS; ELECTRIC FIELDS; FIELD EMISSION; JOULE HEATING; NUMERICAL METHODS;

ELECTRIC-FIELD ENHANCEMENT; VERTICALLY ALIGNED CARBON NANOTUBES (VACNTS);

CARBON NANOTUBES;

EID: 44949154610     PISSN: 00189383     EISSN: None     Source Type: Journal    
DOI: 10.1109/TED.2008.920995     Document Type: Article

References (30)

1. S. Iijima, "Helical microtubules of graphitic carbon," Nature (London), vol. 354, no. 6348, pp. 56-58, Nov. 1991.
2. D. S. Chung, W. B. Choi, J. H. Kang, H. Y. Kim, I. T. Han, Y. S. Park, Y. H. Lee, N. S. Lee, J. E. Jung, and J. M. Kim, "Field emission from 4.5-inch single walled and multi walled carbon nanotube films," J. Vac. Sci. Technol. B, Microelectron. Process. Phenom., vol. 18, no. 2, pp. 1054-1058, Mar./Apr. 2000.
3. Y. Saito and S. Uemura, "Field emission from carbon nanotubes and its application to electron sources," Carbon, vol. 38, no. 2, pp. 169-182, 2000.
4. H. Sugie, M. Tanemure, V. Filip, K. Iwata, K. Takahashi, and F. Okuyama, "Carbon nanotubes as electron source in an X-ray tube," Appl. Phys. Lett., vol. 78, no. 17, pp. 2578-2580, Apr. 2001.
5. Z. F. Ren, Z. P. Huang, J. W. Xu, J. H. Wang, P. Bush, M. P. Siegal, and P. N. Provencio, "Synthesis of large arrays of well-aligned carbon nanotubes on glass," Science, vol. 282, no. 5391, pp. 1105-1107, Nov. 1998.
6. C. Bower, W. Zhu, J. Sungho, and O. Zhou, "Plasma induced alignment of carbon nanotubes," Appl. Phys. Lett., vol. 77, no. 6, pp. 830-832, Aug. 2000.
7. L. Delzeit, I. McAninch, B. A. Cruden, D. Hash, B. Chen, J. Han, and M. Meyyappan, "Growth of multi-wall nanotubes in an inductively coupled plasma reactor," J. Appl. Phys., vol. 91, no. 9, pp. 6027-6033, May 2002.
8. J. Y. Huang, K. Kempa, S. H. Jo, S. Chen, and Z. F. Ren, "Giant field enhancement at carbon nanotube tips induced by multistage effect," Appl. Phys. Lett., vol. 87, no. 5, p. 053 110, 2005.
9. K. B. K. Teo, S.-B. Lee, M. Chhowalla, V. Semet, V. T. Binh, O. Groening, M. Castignolles, A. Loiseau, G. Pirio, P. Legagneux, D. Pribat, D. G. Hasko, H. Ahmed, G. A. J. Amaratunga, and W. I. Milne, "Plasma enhanced chemical vapour deposition carbon nanotubes/nanofibres - How uniform do they grow?" Nanotechnol., vol. 14, no. 2, pp. 204-211, Feb. 2003.
10. O. Gröning, O. M. Küttel, C. Emmenegger, P. Gröning, and L. Schlapbach, "Field emission properties of carbon nanotubes," J. Vac. Sci. Technol. B, Microelectron. Process. Phenom., vol. 18, no. 2, pp. 665-678, Mar./Apr. 2000.
11. L. Nilsson, O. Gröning, C. Emmenengger, O. Kuettel, E. Schaller, and L. Schlapbach, "Scanning field emission from patterned carbon nanotube films," Appl. Phys. Lett., vol. 76, no. 15, pp. 2071-2073, Apr. 10, 2000.
12. R. H. Fowler and L. W. Nordheim, "Electron emission in intense electric fields," Proc. R. Soc. Lond., A Contain. Pap. Math. Phys. Character vol. 119, no. 781, pp. 173-181, May 1928.
13. R. L. Boxman, D. Sanders, and P. J. Martin, Handbook of Vacuum Arc Science and Technology. Norwich, NY: William Andrew Publishing/Noyes, 1995. [Online]. Available: http://www.knovel.com/knovel2/ Toc.jsp?BookID=138
14. A. Buldum and J. P. Lu, "Electron field emission properties of closed carbon nanotubes," Phys. Rev. Lett., vol. 91, no. 23, p. 236 801, Dec. 2003.
15. X. Zheng, G. Chen, Z. Li, S. Deng, and N. Xu, "Quantum-mechanical investigation of field-emission mechanism of a micrometer-long single-walled carbon nanotube," Phys. Rev. Lett., vol. 92, no. 10, p. 106 803, Mar. 2004.
16. R. C. Smith, D. C. Cox, and S. R. P. Silva, "Electron field emission from a single carbon nanotube: Effects of anode location," Appl. Phys. Lett., vol. 87, no. 10, p. 103 112, Sep. 2005.
17. G. A. Estevez and L. B. Bhuyian, "Power series expansion solution to a classical problem in electrostatics," Amer. J. Phys., vol. 53, no. 2, pp. 133-134, Feb. 1985.
18. H. G. Kosmahl, "Analytic evaluation of field emission enhancement factors for ellipsoidal cones and elliptic cross-section wedges," IEEE Trans. Electron Devices, vol. 38, no. 6, pp. 1534-1537, Jun. 1991.
19. D. Kim, J. E. Bourée, and S. Y. Kim, "Numerical study on the field emission properties of aligned carbon nanotubes using the hybrid field enhancement scheme," Appl. Phys. A, Solids Surf., vol. 83, no. 1, pp. 111-114, Apr. 2006.
20. L. Nilsson, O. Groening, P. Groening, and L. Schlapbach, "Collective emission degradation behavior of carbon nanotube thin-film electron emitters," Appl. Phys. Lett., vol. 79, no. 7, pp. 1036-1038, Aug. 13, 2001.
21. R. G. Forbes, C. J. Edgcombe, and U. Valdrè, "Some comments on models for field enhancement," Ultramicroscopy, vol. 95, pp. 57-65, May 2003.
22. C. J. Edgcombe and U. Valdrè, "Microscopy and computational modelling to elucidate the enhancement factor for field electron emitters," J. Microsc., vol. 203, no. 2, pp. 188-194, Aug. 2001.
23. J. M. Bonard, N. Weiss, H. Kind, T. Stoeckli, L. Forro, K. Kern, and A. Chatelain, "Tuning the field emission properties of patterned carbon nanotube films," Adv. Mater., vol. 13, no. 3, pp. 184-188, 2001.
24. M. Dionne, S. Coulombe, and J.-L. Meunier, "Towards a new family of arc electrodes: Electric field enhancement from vertically aligned carbon nanotubes," in Proc. ISPC-18 Conf., Kyoto, Japan, 2007.
25. W. Wei, Y. Liu, Y. Wei, K. Jiang, L.-M. Peng, and S. Fan, "Tip cooling effect and failure mechanism of field-emitting carbon nanotubes," Nano Lett., vol. 7, no. 1, pp. 64-68, 2007.
26. K. A. Dean, T. P. Burgin, and B. R. Chalamala, "Evaporation of carbon nanotubes during electron field emission," Appl. Phys. Lett., vol. 79, no. 12, pp. 1873-1875, Sep. 2001.
27. D. Ugarte, W. A. de Heer, and A. Châtelain, "Nanocapillarity and chemistry in carbon nanotubes," Science, vol. 274, no. 5294, pp. 1897-1899, Dec. 1996.
28. P. Vincent, S. T. Purcell, C. Journet, and V. T. Binh, "Modelization of resistive heating of carbon nanotubes during field emission," Phys. Rev., vol. 66, no. 7, p. 075 406, Aug. 2002.
29. N. Y. Huang, J. C. She, J. Chen, S. Z. Deng, N. S. Xu, H. Bishop, S. E. Huq, L. Wang, D. Y. Zhong, E. G. Wang, and D. M. Chen, "Mechanism responsible for initiating carbon nanotube vacuum breakdown," Phys. Rev. Lett., vol. 87, no. 7, p. 075 501, Aug. 2004.
30. C. Masarapu, L. L. Henry, and B. Wei, "Specific heat of aligned multi-walled carbon nanotubes," Nanotechnol., vol. 16, no. 9, pp. 1490-1494, Sep. 2005.