Abstract

Recent measurements of ${\mathrm{He}}^{3}$ and ${\mathrm{He}}^{4}$ monolayer heat capacities allow a comparison of the isotope shift of Debye temperature in two- and three-dimensional solid helium. The shift in films is greater than the ${m}^{\ensuremath{-}\frac{1}{2}}$ dependence of harmonic solids, increasing strongly with compression. In three dimensions the ratio is nearly harmonic and the density effect is much weaker. The differences are ascribed to steric hindrance of short-range dynamic correlations.

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