Interacting Submonolayer Quantum Films

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Abstract
A one-dimensional system of particles in an external periodic potential interacting via two-body hard-core repulsions is considered as a qualitatively valid model of a submonolayer film absorbed on a solid substrate. At particular values of the hard-core diameter, the free energy is found exactly for all coverages in both the classical and the quantum regimes. We conclude that the thermal implications of adsorbed particle localization (i.e., "mobility") proposed by Hill and developed by Dash and co-workers are qualitatively unchanged by including hard-core interactions for both classical films and quantum films obeying Fermi statistics. The effects of dimensionality on Bose systems appear to be too drastic to reach any firm conclusions on the basis of a one-dimensional model.
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