Influence of dimensionality on superconductivity in carbon nanotubes

Details Influence of dimensionality on superconductivity in carbon nanotubes Influence of dimensionality on superconductivity in carbon nanotubes

2007-03-06

arxiv.org/abs/cond-mat/0703142v1

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures, PACS: 71.10.Pm,74.50.+r,71.20.Tx, to appear in J. Phys. Cond. Mat

Scientific paper

10.1088/0953-8984/19/39/395016

We investigate the electronic instabilities in carbon nanotubes (CNs), looking for the break-down of the one dimensional Luttinger liquid regime due to the strong screening of the long-range part of the Coulomb repulsion. We show that such a breakdown is realized both in ultra-small single wall CNs and multi wall CNs, while a purely electronic mechanism could explain the superconductivity (SC) observed recently in ultra-small (diameter $ \sim 0.4 nm$) single wall CNs ($T_c\sim 15 ^{o}K$) and entirely end-bonded multi-walled ones ($T_c\sim 12 ^{o}K$). We show that both the doping and the screening of long-range part of the electron-electron repulsion, needed to allow the SC phase, are related to the intrinsically 3D nature of the environment where the CNs operate.

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