Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes

Details Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes

2001-03-27

arxiv.org/abs/cond-mat/0103558v1

Phys. Rev. B 64, 201106(R) (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 postscript figures

Scientific paper

10.1103/PhysRevB.64.201106

We study graphene-based electron systems with long-range Coulomb interaction by performing an analytic continuation in the number of dimensions. We characterize in this way the crossover between the marginal Fermi liquid behavior of a graphite layer and the Luttinger liquid behavior at $D = 1$. The former persists for any dimension above $D = 1$. However, the proximity to the $D = 1$ fixed-point strongly influences the phenomenology of quasi-onedimensional systems, giving rise to an effective power-law behavior of observables like the density of states. This applies to nanotubes of large radius, for which we predict a lower bound of the corresponding exponent that turns out to be very close to the value measured in multi-walled nanotubes.

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