Spin gap and Luttinger liquid description of the NMR relaxation in carbon nanotubes

Abstract

Recent NMR experiments by Singer et al. [Singer et al. Phys. Rev. Lett. 95, 236403 (2005).] showed a deviation from Fermi-liquid behavior in carbon nanotubes with an energy gap evident at low temperatures. Here, a comprehensive theory for the magnetic field and temperature dependent NMR 13C spin-lattice relaxation is given in the framework of the Tomonaga-Luttinger liquid. The low temperature properties are governed by a gapped relaxation due to a spin gap (~ 30K), which crosses over smoothly to the Luttinger liquid behaviour with increasing temperature.

arXiv comment5 pages, 1 figure, 1 table

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• Fundamental Optical Processes in Armchair Carbon Nanotubes
• Electron spin resonance signal of Luttinger liquids and single-wall carbon nanotubes
• Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
• Temperature dependence of the NMR spin-lattice relaxation rate for spin-1/2 chains
• Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation
• Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
• Dynamical correlations in the spin-half two-channel Kondo model
• Enhanced NMR relaxation of Tomonaga-Luttinger liquids and the magnitude of the carbon hyperfine coupling in single-wall carbon nanotubes
• Superconductivity in the regime of attractive interactions in the Tomonaga-Luttinger liquid
• Spin-orbit coupling and proximity effects in metallic carbon nanotubes
• NMR parameters in gapped graphene systems
• Theory of the conductance of interacting quantum wires with good contacts and applications to carbon nanotubes
• Controlled isotope arrangement in 13C enriched carbon nanotubes
• Spin Pumping into Carbon Nanotubes
• Strong correlation effects in single-wall carbon nanotubes
• Intertube effects on one-dimensional correlated state of metallic single-wall carbon nanotubes probed by 13C NMR
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene