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

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages, 1 figure, 1 table

Scientific paper

10.1103/PhysRevLett.99.166402

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.

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