Bose-Hubbard model and superfluid staircases in He4 films

G. T. Zimanyi, P. A. Crowell, R. T. Scalettar, G. G. Batrouni

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


The recent experimental observation of steplike structure in the superfluid density of He4 films on graphite is interpreted in terms of passage close to Mott insulating lobes in the Bose-Hubbard model. Plateaus develop in the superfluid density near the completion of each layer because of the He-He repulsion. We modify the Bose-Hubbard Hamiltonian, using a density-dependent He-He interaction term to model the He-substrate potential. Quantum Monte Carlo simulations yield results that agree well with the experimental data.

Original languageEnglish (US)
Pages (from-to)6515-6518
Number of pages4
JournalPhysical Review B
Issue number9
StatePublished - 1994
Externally publishedYes

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