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Correlation gap in armchair carbon nanotubes
T. A. Gloor and F. MilaInstitut de Physique Théorique, Université de Lausanne CH-1015 Lausanne, Switzerland Thomas.Gloor@ipt.unil.ch
(Received 1 October 2002; accepted in final form 9 December 2002)
Abstract
We revisit the problem of the correlation gap in
(n,n) 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/img1.gif){kind=small}
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.
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