Bounds for the Superfluid Fraction from Exact Quantum Monte Carlo Local Densities
Abstract
For solid 4He and solid p-H2, using the flow-energy-minimizing one-body phase function and exact T=0 K Monte Carlo calculations of the local density, we have calculated the phase function, the velocity profile and upper bounds for the superfluid fraction fs. At the melting pressure for solid 4He we find that fs < 0.20-0.21, about ten times what is observed. This strongly indicates that the theory for the calculation of these upper bounds needs substantial improvements.
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