Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-12-17
Phys. Rev. B 67, 235418 (2003)
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 2 figures, final version to be published in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.67.235418
We derive the effective low-energy theory for interacting electrons in metallic single-wall carbon nanotubes taking into account acoustic phonon exchange within a continuum elastic description. In many cases, the nanotube can be described as a standard Luttinger liquid with possibly attractive interactions. We predict surprisingly strong attractive interactions for thin nanotubes. Once the tube radius reaches a critical value $R_0 \approx 3.6\pm 1.4$ \AA, the Wentzel-Bardeen singularity is approached, accompanied by strong superconducting fluctuations. The surprisingly large $R_0$ indicates that this singularity could be reached experimentally. We also discuss the conditions for a Peierls transition due to acoustic phonons.
Egger Reinhold
Martino Alessandro de
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