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Journal of Low Temperature Physics

Binding of Two Helium Atoms in Confined Geometries. II. Dimerization on Flat Attractive Substrates

Srećko Kilić, E. Krotscheck, Leandra Vranješ Markić

Published Jun 1, 2000• 14 citations
Publisher
DOI
10.1023/a:1004641914916

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Low dimensional quantum fluids, where one can probe the effects of enhanced thermal and quantum fluctuations on macroscopic quantum wavefunctions, can be experimentally realized through transverse physical confinement of superfluid helium on scales smaller than the coherence length. Reaching this scale is difficult, requiring confinement in single or multiple pores with nanometer radii. Porous silicates such as MCM-41 have a pore radius larger than the coherence length of 4He, and in this work we systematically explore the possibility of pre-plating pores with different elements to reduce the pore size without localizing the confined superfluid. Through a direct solution of the few-body Schrodinger equation combined with quantum Monte Carlo simulations, we explore the behavior of helium confined inside cylindrical nanopores for a range of pre-plating elements, including rare gases and alkali metals. For rare gases, we find that helium remains strongly attracted to the pore walls and any atoms in the core form an incompressible liquid. For alkali metals such as Cs, weak interactions between helium and the pre-plating material prevent localization near the walls and enable delocalization in the pore center. Our results extend previous results for helium wetting on flat two dimensional coated substrates to the curved geometry inside nanopores, and demonstrate that alkali pre-plated nanopores may enable a tunable one-dimensional confined quantum liquid of helium.
In variational calculation, we have obtained the binding energy of helium 3 dimer in two dimensions.The existence of one bound state, with the binding energy -0.014 mK, has been definitively found.Also, the existence of a binding state of helium 3 trimer having spin -1/2 with the energy below -0.0057 mK is indicated.This reopens the question of the existence of the gas phase of many helium 3 atoms on the surface of superfluid helium 4. Key words: helium dimer, helium trimer, binding energy of helium 3 dimer. # Dedicated to Academician Krunoslav Ljolje on the occasion of his 70th birthday.