Conclusions
To conclude we have presented a fully quantum scattering technique which yields the S matrix of inhomogeneous multi-wall nanotubes. We have shown that the inter-tube interaction drastically modifies transport, not only by opening pseudo-gaps close to the Fermi energy, but also by redistributing the amplitude of the transverse component of the wave-function across the multi-wall structure. These effects, when combined together, form a convincing explanation of puzzling experiments in which non-integer values of conductance have been found in multi-wall nanotubes13. To arrive at this quantitative description of the experiments, we have explored several possibilities regarding on the nature of the nanotube/metal interfaces. Only those calculations in which the outermost tube is in direct contact with the gold electrode showed good agreement with the experiments.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Iijima, Nature 354, 56 (1991).
For a general review, see M.S. Dresselhaus, G. Dresselhaus, and P.C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic Press Inc., 1996 San Diego), and references therein.
S. Iijima and T. Ichihashi, Nature 363, 603 (1993).
D.S. Bethune, C.H. Kiang, M.S. de Vries, G. Gorman, R. Savoy, J. Vazquez, R. Beyers, Nature 363, 605 (1993).
J.W. Mintmire, B.I. Dunlap, and C.T. White, Phys. Rev. Lett. 68, 631 (1992).
R. Saito, M. Fujita, G. Dresselhaus, and M.S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992).
N. Hamada, S. Sawada, and A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992).
L. Chico, L.X. Benedict, S.G. Louie and M.L. Cohen, Phys. Rev. B 54, 2600 (1996), W. Tian and S. Datta, ibid. 49, 5097 (1994), M.F. Lin and K.W.-K. Shung, ibid. 51, 7592 (1995).
R. Landauer, Phil. Mag. 21, 863 (1970).
S.J. Tans, M.H. Devoret, H. Dai, A. Thess, R.E. Smalley, L.J. Geerligs, C. Dekker, Nature 386, 474 (1998).
M. Bockrath, D. H. Cobden, P. L. McEuen, N. G. Chopra, A. Zettl, A. Thess, R. E. Smalley Science 275, 1922 (1997).
C. Dekker, Physics Today May 1999, 22 (1999).
S. Frank, P. Poncharal, Z.L. Wang, and Walt A. de Heer, Science 280, 1744 (1998).
T. Ando, T. Nakanishi, J. Phys. Soc. Jpn. 67, 1704 (1998).
C.T. White, T.N. Todorov, Nature 393, 240 (1998).
Riichiro Saito, G. Dresselhaus, and M.S. Dresselhaus, J. Appl. Phys. 73, 494 (1993).
Ph. Lambin, L. Philippe, J.C. Charlier, and J.P. Michenaud, Comput. Mater. Sci. 2, 350 (1994).
Young-Kyun Kwon and David Tománek, Phys. Rev. B 58, R16001 (1998).
P. Delaney, H.J. Choi, J. Ihm, S.G. Louie, and M.L. Cohen, Nature 391, 466 (1998).
Young-Kyun Kwon, Susumu Saito, and David Tománek, Phys. Rev. B 58, R13314 (1998).
D. Tománek and Michael A. Schluter, Phys. Rev. Lett. 67, 2331 (1991).
S. Sanvito, C.J. Lambert, J.H. Jefferson, A.M. Bratkovsky, Phys. Rev. B 59, 11936 (1999).
S. Sanvito, C.J. Lambert, J.H. Jefferson, A.M. Bratkovsky, J. Phys. C: Condens. Matter. 10, L691 (1998).
M. Schluter, M. Lannoo, M. Needels, G.A. Baraff, and D. Tománek, Phys. Rev. Lett. 68, 526 (1992).
J.-C. Charlier, X. Gonze, and J.-P. Michenaud, Europhys. Lett. 28, 403 (1994); M.C. Schabel and J.L. Martins, Phys. Rev. B 46, 7185 (1992).
F. Taddei, S. Sanvito, C.J. Lambert, J.H. Jefferson, Phys. Rev. Lett. 82, 4938 (1999).
M. Büttiker, Y. Imry, R. Landauer, S. Pinhas, Phys. Rev. B 31, 6207 (1985).
S. Sanvito, C.J. Lambert, J.H. Jefferson, to appear in Phys. Rev. B, and also cond-mat/9903381
C.J. Lambert, V.C. Hui, S.J. Robinson, J. Phys. C: Condens. Matter. 5, 4187 (1993).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Sanvito, S., Kwon, YK., Tománek, D., Lambert, C. (2002). Quantum Transport in Inhomogeneous Multi-Wall Nanotubes. In: Thorpe, M.F., Tománek, D., Enbody, R.J. (eds) Science and Application of Nanotubes. Fundamental Materials Research. Springer, Boston, MA. https://doi.org/10.1007/0-306-47098-5_24
Download citation
DOI: https://doi.org/10.1007/0-306-47098-5_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46372-3
Online ISBN: 978-0-306-47098-1
eBook Packages: Springer Book Archive