Microscopic calculation of the phonon-roton branch in superfluid $^4$He

Physics – Condensed Matter

Scientific paper

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12 pages, RevTex, 3 ps figures included

Scientific paper

10.1209/epl/i1997-00240-x

Diffusion Monte Carlo results for the phonon-roton excitation branch in bulk liquid $^4$He at zero temperature are presented. The sign problem associated to the excited wave function has been dealt both with the fixed-node approximation and the released-node technique. The upper bounds provided by the fixed-node approximation are shown to become exact when using the released-node method. An excellent agreement with experimental data is achieved both at the equilibrium and near the freezing densities.

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