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NMR Signature of One-Dimensional Behaviour of 3He in Nanopores
Yager, B., Nyéki, J., Casey, A., Cowan, B. P., Lusher, C. P. and Saunders, J. ,We have performed thermodynamic and NMR relaxation time measurements of He-3 adsorbed in the pores of the mesoporous molecular sieve MCM-41 at temperatures down to 1.7 K and at a range of frequencies up to 240 kHz. The MCM-41 substrate comprises a uniform array of quasi-1D straight pores with a diameter of 2.3 nm. We preplated the pores with a monolayer of He-4 to achieve an effective diameter of 1.6 nm at low temperatures. We made NMR measurements as a function of line density and frequency to investigate the spin dynamics and the effect of dimensionality. We observed T-1 proportional to omega(1/2), which is characteristic of one-dimensional diffusion. At these temperatures this arises from a classical size effect in the narrow pores. Our results demonstrate the possibility to study the spin dynamics of a 1D Tomonaga-Luttinger liquid at lower temperatures, where the He-3 liquid will constitute a quantum 1D system.
Phys. Rev. Lett. 111, 215303 (2013)
doi: 10.1103/PhysRevLett.111.215303