Low Temperature Physics: 34, 249 (2008); https://doi.org/10.1063/1.2908872 (5 pages)
Quantum-limited mass flow of liquid 3He
G. Lambert1, G. Gervais1, and W.J. Mullin2
1Department of Physics, McGill University, 3600 rue Université, Montréal, Qc, Canada
2Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
Received October 29, 2007
We consider theoretically the possibility of observing unusual quantum fluid behavior in liquid 3He and solutions of 3He in 4He systems confined to nano-channels. In the case of pure ballistic flow at very low temperature conductance will be quantized in units of 2m2/h. We show that these steps should be sensitive to increases in temperature. We also use a random scattering matrix simulation to study flow with diffusive wall scattering. Universal conductance fluctuations analogous to those seen in electron systems should then be observable. Finally we consider the possibility of the cross-over to a one-dimensional system at sufficiently low temperature where the system could form a Luttinger liquid.
PACS: 67.30.ej Films and restricted geometries;
Key words: liquid 3He, solutions of 3He in liquid 4He, nanotubes, quantized conductance, universal conductance fluctuations, Luttinger liquid.