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

Balazs Dora

MPI for the Physics of Complex Systems, Electronic Correlations, Dresden, Germany

Recent NMR experiments by 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 (~30 K), which crosses over smoothly to the Luttinger liquid behavior with increasing temperature.

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