Influence of dimensionality on superconductivity in carbon nanotubes

Abstract

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 $\sim 0.4nm$) 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.

arXiv comment5 pages, 3 figures, PACS: 71.10.Pm,74.50.+r,71.20.Tx, to appear in J. Phys. Cond. Mat

References in corpus (23)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Superconductivity in Ropes of Single-Walled Carbon Nanotubes
• The Electrochemical Carbon Nanotube Field-Effect Transistor
• Correlated transport and non-Fermi liquid behavior in single-wall carbon nanotubes
• High-Tc superconductivity in entirely end-bonded multi-walled carbon nanotubes
• Suppression of tunneling into multi-wall carbon nanotubes
• Low Energy Properties of the (n,n) Carbon Nanotubes
• Quantum transport through carbon nanotubes: proximity induced and intrinsic superconductivity
• On the Coulomb interaction in chiral-invariant one-dimensional electron systems
• Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
• Suppression of electron-electron repulsion and superconductivity in Ultra Small Carbon Nanotubes
• Crossover from Luttinger liquid to Coulomb blockade regime in carbon nanotubes
• Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes
• A theory of superconductivity in multi-walled carbon nanotubes
• Single Wall Nanotubes: Atomic Like Behaviour and Microscopic Approach
• Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes
• Doping- and size-dependent suppression of tunneling in carbon nanotubes
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
• Electronic screening and correlated superconductivity in carbon nanotubes
• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• Magnetic field effects and renormalization of the long-range Coulomb interaction in Carbon Nanotubes