Nuclear Magnetism and Electronic Order in 13C Nanotubes

Abstract

Single wall carbon nanotubes grown entirely from 13-C form an ideal system to study the effect of electron interaction on nuclear magnetism in one dimension. If the electrons are in the metallic, Luttinger liquid regime, we show that even a very weak hyperfine coupling to the 13-C nuclear spins has a striking effect: The system is driven into an ordered phase, which combines electron and nuclear degrees of freedom, and which persists up into the millikelvin range. In this phase the conductance is reduced by a universal factor of 2, allowing for detection by standard transport experiments.

7 pages, 3 figures; final version

References in corpus (18)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Landauer Conductance of Luttinger Liquids with Leads
• Effective low-energy theory for correlated carbon nanotubes
• Transport in an inhomogeneous interacting one--dimensional system
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Theory of Diluted Magnetic Semiconductor Ferromagnetism
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Absence of spontaneous magnetic order at non-zero temperature in one- and two-dimensional Heisenberg and XY systems with long-range interactions
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Non-analytic corrections to the Fermi-liquid behavior
• Exact Results for 1D Kondo Lattice from Bosonization
• Singular perturbation theory for interacting fermions in two dimensions
• Magnetic Ordering of Nuclear Spins in an Interacting 2D Electron Gas
• Nuclear spin ferromagnetic phase transition in an interacting 2D electron gas
• RKKY interaction and Kondo screening cloud for correlated electrons
• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems

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• Magnetic Order in Kondo-Lattice Systems due to Electron-Electron Interactions
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