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Helium Molecules Within Carbon Nanotubes

The ground state properties of ^3He and ^4He dimers and trimers in infinite carbon nanotubes are studied. The ground state eigen-functions of one helium atom in tubes of different radii are obtained numerically and then fitted by analytic expressions. Total wave function is assumed to be a product of Jastrow-Feenberg pair correlation and one particle functions. After extensive Monte Carlo calculation in two successive stages, VMC (simple variational Monte Carlo) and DMC (diffusion Monte Carlo) it is found that binding depends on the radius and has maximum for a certain tube width. We expect to show that the physical difference between fermions and bosons will disappear inside narrow enough tubes.

helium; dimer; trimer; binding; carbon nanotubes

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