Dynamics of 3He in one dimension in the Luttinger liquid limit

NMR techniques have been used to investigate the dynamics of highly degenerate 3He confined to the interior of 4He plated nanotubes of MCM-41 (Mobil Composition Matter No. 41). The 3He line density was 0.93 +/- 0.10 nm-1, corresponding to a Fermi degeneracy temperature of TF approximate to 0.1 K. Experiments conducted down to 10 mK reveal a linear temperature dependence of the nuclear spin-lattice relaxation for T < TF, following a peak at 2TF, which are hallmarks of Luttinger liquid physics.