Properties of surface electrons on a helium film: Effects of the film thickness and substrate

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Abstract
We have investigated the influence of the film thickness and different substrates on the properties of two-dimensional electrons localized on the surface of liquid-helium films. These properties have been studied on the basis of a self-consistent-field approximation including the short-range correlations. The static structure factor and correlation energy are calculated for several values of the film thickness and different substrates. We have also determined the spectrum of the collective excitations of such a system. The results are compared with the calculations based on the random-phase approximation. We have determined the critical-range values of the film thickness above which the results turn out to be the same as for the bulk system.