Abstract
The adsorption of $^{4}\mathrm{He}$ on neon-plated graphite is examined for both the single-particle case and the zero-Kelvin liquid state. The effects of the oscillations of the neon atoms are included. The band structure for the single $^{4}\mathrm{He}$ atom is calculated for the lowest six bands. The results show $^{4}\mathrm{He}$ to be almost free-particle-like in behavior. For the liquid state, the energy per particle and the local density variations are calculated for areal densities less than 0.07 ${\mathrm{\AA{}}}^{\ensuremath{-}2}$. The effect of the substrate is to slightly increase both the binding energy of the liquid and the zero-pressure density. The stability of the liquid state relative to two low-density registered phases is estimated.
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