Electronic instabilities in 3D arrays of small-diameter
(3, 3) carbon nanotubes |
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Authors: | J González E Perfetto |
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Institution: | (1) Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain;(2) Istituto Nazionale di Fisica Nucleare - Laboratori Nazionali di Frascati, via E. Fermi 40, 00044 Frascati, Italy |
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Abstract: | We investigate the electronic instabilities of the small-diameter
(3, 3) carbon nanotubes by studying the low-energy perturbations of the
normal Luttinger liquid regime. The bosonization approach is adopted
to deal exactly with the interactions in the forward-scattering
channels, while renormalization group methods are used to analyze
the low-energy instabilities. In this respect, we take into account
the competition between the effective e–e interaction mediated by
phonons and the Coulomb interaction in backscattering and Umklapp
channels. Moreover, we apply our analysis to relevant experimental
conditions where the nanotubes are assembled into large
three-dimensional arrays, which leads to an efficient screening of
the Coulomb potential at small momentum-transfer. We find that the
destabilization of the normal metallic behavior takes place through
the onset of critical behavior in some of the two charge stiffnesses
that characterize the Luttinger liquid state. From a physical point
of view, this results in either a divergent compressibility or a
vanishing renormalized velocity for current excitations at the point
of the transition. We observe anyhow that this kind of critical
behavior occurs without the development of any appreciable sign
of superconducting correlations. |
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Keywords: | 71 10 Pm Fermions in reduced dimensions 73 22 -f Electronic structure of nanoscale materials: clusters nanoparticles nanotubes and nanocrystals 73 63 Fg Nanotubes |
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