Superfluidity versus localization in bulk 4He at zero temperature

Abstract

We present a zero-temperature quantum Monte Carlo calculation of liquid ${}^4$He immersed in an array of confining potentials. These external potentials are centered in the lattice sites of a fcc solid geometry and, by modifying their well depth and range, the system evolves from a liquid phase towards a progressively localized system which mimics a solid phase. The superfluid density decreases with increasing order, reaching a value ${\rho }_{\mathrm{s}}/\rho =0.079(16)$ when the Lindemann's ratio of the model equals the experimental value for solid ${}^4$He.

5 pages,5 figures

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• Global and local condensate and superfluid fraction of a few hard core bosons in a cubic optical lattice plus external harmonic confinement
• Saga of Superfluid Solids