Abstract
Early theoretical work on single-walled carbon nanotubes1,2,3 predicted that a special achiral subset of these structures known as armchair nanotubes3 should be metallic. Tans et al.4 have recently confirmed these predictions experimentally and also showed directly that coherent electron transport can be maintained through these nanowires up to distances of at least 140ânm. But single-walled armchair nanotubes are one-dimensional conductors with only two open conduction channels (energy subbands in a laterally confined system that cross the Fermi level)1,2,3. Hence, with increasing length, their conduction electrons ultimately become localized5 owing to residual disorder in the tube which is inevitably produced by interactions between the tube and its environment. We present here calculations which show, however, that unlike normal metallic wires, conduction electrons in armchair nanotubes experience an effective disorder averaged over the tube's circumference, leading to electron mean free paths that increase with nanotube diameter. This increase should result in exceptional ballistic transport properties and localization lengths of 10âµm or more for tubes with the diameters that are typically produced experimentally6.
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References
Mintmire, J. W., Dunlap, B. I. & White, C. T. Are fullerene tubules metallic? Phys. Rev. Lett. 68, 631â634 (1992).
Hamada, N., Sawada, A. & Oshiyama, A. New one-dimensional conductors: graphitic micro-tubules. Phys. Rev. Lett. 68, 1579â1581 (1992).
Saito, R., Fujita, M., Dresselhaus, G. & Dresselhaus, M. S. Electronic structure of chiral graphene tubules. Appl. Phys. Lett. 60, 2204â2206 (1992).
Tans, S. J. et al. Individual single-wall carbon nanotubes as quantum wires. Nature 386, 474â477 (1997).
Mott, N. F. & Twose, W. D. The theory of impurity conduction. Adv. Phys. 10, 107â163 (1961).
Tess, A.et al. Crystalline ropes of metallic carbon nanotubes. Science 273, 483â487 (1996).
Thouless, D. J. Maximum metallic resistance in this wires. Phys. Rev. Lett. 39, 1167â1169 (1977).
Anderson, P. W., Thouless, D. J., Abrahams, E. & Fisher, D. S. New method for a scaling theory of localization. Phys. Rev. B 22, 3519â3526 (1980).
Thouless, D. J. Localization distance and mean free path in one-dimensional disordered systems. J. Phys. C 6, L46âL51 (1973).
Todorov, T. N. Calculation of the residual resistivity of three-dimensional quantum wires. Phys. Rev. B 54, 5801â5813 (1996).
White, C. T., Robertson, D. H. & Mintmire, J. W. Helical and rotational symmetries of nanoscale graphitic tubules. Phys. Rev. B 47, 5485â5488 (1993).
Harrison, W. A. Electronic Structure and Properties of Solids 550 (Freeman, San Francisco, (1980)).
Ruoff, R. S. et al. Radial deformation of carbon nanotubes by van der Waals forces. Nature 364, 514â516 (1993).
Kane, C. L. & Mele, E. J. Size, shape, and low energy electronic structure of carbon nanotubes. Phys. Rev. Lett. 78, 1932â1935 (1997).
Acknowledgements
C.T.W. thanks D. G. Pettifor for hospitality during his sabbatical stay at Oxford and N. J. Long and D. H. Robertson for technical assistance. T.N.T. thanks EPSRC and St John's College, Oxford for support. Support from the US Office of Naval Research and Hewlett Packard is also acknowledged.
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White, C., Todorov, T. Carbon nanotubes as long ballistic conductors. Nature 393, 240â242 (1998). https://doi.org/10.1038/30420
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DOI: https://doi.org/10.1038/30420
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