| Issue |
Europhys. Lett.
Volume 61, Number 4, February 2003
|
|
|---|---|---|
| Page(s) | 513 - 519 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2003-00159-8 | |
| Published online | 01 February 2003 | |
Correlation gap in armchair carbon nanotubes
Institut de Physique Théorique, Université de Lausanne CH-1015 Lausanne, Switzerland
Corresponding author: Thomas.Gloor@ipt.unil.ch
Received:
1
October
2002
Accepted:
9
December
2002
We revisit the problem of the correlation gap in 
armchair
carbon nanotubes, that would be metallic in the absence of
electron-electron correlations. We attack the problem in the
context of a Hubbard model with on-site repulsion U only, and
we show that the scaling of the gap as ![$\exp[-nt/U]$](/articles/epl/abs/2003/04/7500/7500_tex_eq2.png)
predicted by
Balents and Fisher (Phys. Rev. B, 55 (1997) R11973) can
only be valid if U is not too large, even for very large values
of n. Using Hartree-Fock calculations and renormalisation group
arguments we derive the scaling of the gap as a function of n
for a given value of U. Possible applications for the magnitude
of the correlation gap in armchair carbon nanotubes will be
discussed.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 71.20.Tx – Fullerenes and related materials; intercalation compounds / 72.80.Rj – Fullerenes and related materials
© EDP Sciences, 2003
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