NMR Studies of the Dynamics of 1D $$^3\hbox {He}$$ in $$^4\hbox {He}$$ Plated MCM-41

Dynamics of He3 in one dimension in the Luttinger liquid limit

“…5) is for T 1 = 25 T 2T F or γ 2k F = 0.54 ± 0.07. This value of γ is smaller than that obtained for the experiments on adsorbed 3 He without Ag powder [19], and the difference is attributed to a better evaluation of the effect of the transverse excitations in the new sample for T > T F . It should be noted that if the characteristic correlation time τ > ω −1 L (the inverse of the Larmor frequency) the temperature dependence of T 1 is typically different to that of the spin-spin relaxation time, T 2 .…”

“…The latter is expected from the chemical potential in the non-degenerate regime µ = k b T 2 ln 16T F πT . Earlier NMR studies [19,25] were carried out close to T F and while consistent with the predictions of Polini and Vignale [21] those studies did not explore temperatures significantly below the T F due to inadequate thermalization. For the present experiments a new experimental cell with greatly improved thermalization was constructed.…”

“…Previous studies of 3 He on MCM-41 focused on temperatures T > T F [15][16][17] successfully demonstrated the classical behavior expected for quasi-1D spin-1/2 systems such as the t 1 2 power law for the temporal dependence of the spin diffusion in the 1D hydrodynamic limit [15], but have not explored the system when highly degenerate. Here we report a significant improvement over earlier NMR studies of 3 He on MCM-41 [18,19] by mixing fine Ag powder to better thermalize the system at low temperatures, enabling studies of the dynamics well below the Fermi temperature. Matsushita et al [20] have recently reported 1D behavior for NMR studies of 3 He adsorbed on a different material, FSM-16, for a wide range of line densities for temperatures T ≥ 60 mK, both above and below T F .…”

Dimensional Reduction of Helium-4 Inside Argon Plated MCM-41 Nanopores

“…41) 21 and FSM-16 (Folded Sheet Material) 22 that consist of regular networks of hexagonal or cylindrical pores. When filled with helium, they are amenable to bulk probes at low temperature and have provided a large body of evidence on the effects of enhanced thermal and quantum fluctuations on the superfluid state [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] . How-ever, the radii of the pores in these materials is ultimately set by the specific reaction route and is not continuously tunable, with the smallest possible diameter being on the order of 2 nm.…”