Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
arXiv:cond-mat/0510586 · doi:10.1140/epjb/e2006-00252-4
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.
arXiv comment10 pages, 12 figures
References in corpus (22)
- Luttinger Liquid Behavior in Carbon Nanotubes
- One-Dimensional Fermi liquids
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Effective low-energy theory for correlated carbon nanotubes
- Superconductivity in Ropes of Single-Walled Carbon Nanotubes
- Correlation Effects in Carbon Nanotubes
- Room temperature Peierls distortion in small radius nanotubes
- Low Energy Properties of the (n,n) Carbon Nanotubes
- Quantum transport through carbon nanotubes: proximity induced and intrinsic superconductivity
- Electron-phonon interaction in ultrasmall-radius carbon nanotubes
- Electronic Properties of Armchair Carbon Nanotubes : Bosonization Approach
- Lattice dynamics and electron-phonon interaction in (3,3) carbon nanotubes
- Acoustic phonon exchange, attractive interactions, and the Wentzel-Bardeen singularity in single-wall nanotubes
- Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension
- Microscopic model of superconductivity in carbon nanotubes
- On superconductivity in armchair carbon nanotubes
- The Coulomb Luttinger liquid
- Consistency of superconducting correlations with one-dimensional electron interactions in carbon nanotubes
- Coulomb Blockade Regime of a Single-Wall Nanotube
- Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
- Insulating, superconducting and large-compressibility phases in nanotube ropes
- Current instability and diamagnetism in small-diameter carbon nanotubes