Abstract

The relative stability of the hcp and fcc crystalline structures of ${}^{4}\mathrm{He}$ is investigated using the Monte Carlo method. The calculations are made for a recent ab initio two-body interatomic potential and a given solid helium model. The results favor the experimentally observed hcp structure. Based on the reweighting technique, the correlated sampling methodology introduced is described. It is quite general and can be applied to other interatomic potentials, models of the solid phase, and quantum many-body systems.

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