Abstract
The low-energy theory of metallic carbon nanotubes is derived by bosonization methods. For single-wall nanotubes, the electron-electron interaction destroys the Fermi liquid state and leads to Luttinger liquid behavior. For individual multi-wall nanotubes or a rope of single-wall nanotubes, correlations are also important and can imply Luttinger liquid behavior again. Characteristic Luttinger liquid power laws are found for the tunneling density of states and the linear conductance in the presence of a backscatterer, with exponents approaching their Fermi liquid value only very slowly as the number of conducting shells or tubes increases.
Preview
Unable to display preview. Download preview PDF.
Bibliography
S. Iijima, Nature 354, 56 (1991).
N. Hamada, S. Sawada, and A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992).
J.W.G. Wildöer, L.C. Venema, A.G. Rinzler, R.G. Smalley, and C. Dekker, Nature 391, 59 (1998); T.W. Odom, J. Huang, P. Kim, and C.M. Lieber, ibid Nature 391, 62, (1998).
S.J. Tans, M.H. Devoret, H. Dai, A. Thess, R.E. Smalley, L.J. Geerligs, and C. Dekker, Nature 386, 474 (1997).
S.J. Tans, M.H. Devoret, R.J.A. Groeneveld, and C. Dekker, Nature 394, 761 (1998).
For a recent perspective, see, A.O. Gogolin, A.A. Nersesyan, and A.M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, 1998).
C.L. Kane and M.P.A. Fisher, Phys. Rev. B 46, 15 233 (1992).
R. Egger and A.O. Gogolin, Phys. Rev. Lett. 79, 5082 (1997); Eur. Phys. J B 3, 281 (1998).
C.L. Kane, L. Balents, and M.P.A. Fisher, Phys. Rev. Lett. 79, 5086 (1997).
Z. Yao, H.W.Ch. Postma, L. Balents, and C. Dekker, Nature 402, 273 (1999).
A. Bachtold, C. Strunk, J.P. Salvetat, J.M. Bonard, L. Forró, T. Nussbaumer, and C. Schönenberger, Nature 397, 673 (1999); C. Schönenberger, A. Bachtold, C. Strunk, J.P. Salvetat, and L. Forró, Appl. Phys. A 69, 283 (1999).
A.Yu. Kasumov, H. Bouchiat, B. Reulet, O. Stephan, I.I. Khodos, Yu.B. Gorbatov, and C. Colliex, Europhys. Lett. 43, 89 (1998).
M. Bockrath, D.H. Cobden, J. Lu, A.G. Rinzler, R.E. Smalley, L. Balents, and P.L. McEuen, Nature 397, 598 (1999).
R. Egger, Phys. Rev. Lett. 83, 5547 (1999).
S. Frank, P. Poncharal, Z.L. Wang, and W.A. de Heer, Science 280, 1744 (1998).
T. Hertel, R.E. Walkup, and Ph. Avouris, Phys. Rev. B 58, 13870 (1998).
C.L. Kane and E.J. Mele, Phys. Rev. Lett. 78, 1932 (1997).
A.A. Maarouf, C.L. Kane, and E.J. Mele, preprint cond-mat/0001300.
K.A. Matveev and L.I. Glazman, Phys. Rev. Lett. 70, 990 (1993).
P. Delaney, H.J. Choi, J. Ihm, S.G. Louie, and M.L. Cohen, Nature 391, 466 (1998).
C.T. White and T.N. Todorov, Nature 393, 240 (1998).
J.C. Charlier and J.P. Michenaud, Phys. Rev. Lett. 70, 1858 (1993).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2000 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
About this paper
Cite this paper
Egger, R. (2000). Luttinger liquid behavior in carbon nanotubes. In: Kramer, B. (eds) Advances in Solid State Physics 40. Advances in Solid State Physics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108356
Download citation
DOI: https://doi.org/10.1007/BFb0108356
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41576-3
Online ISBN: 978-3-540-44560-9
eBook Packages: Springer Book Archive