Theory of Small Para-Hydrogen Clusters: Magic Numbers and Superfluid Sizes

Details Theory of Small Para-Hydrogen Clusters: Magic Numbers and Superfluid Sizes Theory of Small Para-Hydrogen Clusters: Magic Numbers and Superfluid Sizes

2006-12-16

arxiv.org/abs/physics/0612161v1

Phys. Rev. Lett. 2007, 98, 183401

Physics

Computational Physics

4 pages 4 figures in color

Scientific paper

The interplay between magic number stabilities and superfluidity of small para-hydrogen clusters with sizes $N = 5$ to 40 and temperatures $0.5 K \leq T \leq 4.5 $K is explored with classical and quantum Path Integral Monte Carlo calculations. Clusters with $N < 26$ and T $\leq 1.5 K$ have large superfluid fractions even at the stable magic numbers 13, 19, and 23. In larger clusters, superfluidity is quenched especially at the magic numbers 23, 26, 29, 32, and 37 while below 1 K, superfluidity is recovered for the pairs $(27,28)$, $(30,31)$, and $(35,36)$. For all clusters superfluidity is localized at the surface and correlates with long exchange cycles involving loosely bound surface molecules.

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