Abstract
We perform a systematic investigation of the structure, elementary, and phonon excitations of quantum fluid ${}^{4}\mathrm{He}$ adsorbed in the interior of carbon nanotubes. We show that the helium fluid inside the cylinder behaves exactly as in planar films on a graphite substrate, presenting the same kind of layering transition. This tendency is confirmed by the behavior of a single ${}^{3}\mathrm{He}$ impurity diluted into adsorbed ${}^{4}\mathrm{He}.$ We also present a simple description of the lowest excitation modes of the adsorbed fluid and compute the low-temperature contribution of the phonon spectrum to the specific heat, which displays the dimensionality characteristics reported in previous works.
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