Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes
Abstract
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 . The former persists for any dimension above . However, the proximity to the 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.
Keywords
Cite
@article{arxiv.cond-mat/0103558,
title = {Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes},
author = {S. Bellucci and J. Gonzalez},
journal= {arXiv preprint arXiv:cond-mat/0103558},
year = {2009}
}
Comments
4 pages, 4 postscript figures