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Helium Molecules in Two and Quasi-Two Dimensions

The ground state properties of helium molecules in infinite and restricted 2- and quasi 2-dimensional (2D) space are studied. Using Monte Carlo calculation in two successive stages, VMC (simple variational Monte Carlo) and DMC (diffusion Monte Carlo) we find that all studied molecules (except ^3He_3 with spin-3/2) are bound in 2D. It is discovered that in infinite 2D space ^3He trimer prefers the structure of one dimer and one separate particle while a composition of two separate dimers is preferable for ^3He tetramer. In holding potentials with well adjusted parameters there is a drastic increase of binding for trimer and tetramer in both sorts of helium atoms.

helium; molecules; two dimensions; binding

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