Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-01-25
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Scientific paper
10.1063/1.2908872
We consider theoretically the possibility of observing unusual quantum fluid behavior in liquid $^{3}$He and solutions of $^{3}$He in $^{4}$He systems confined to nano-channels. In the case of pure ballistic flow at very low temperature conductance will be quantized in units of $2m^{2}/h$. We show that these steps should be sensitive to increases in temperature. We also use of 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.
Gervais G.
Lambert Gaultier
Mullin William J.
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