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Bose-Hubbard model and superfluid staircases in He4 films

G. T. Zimanyi, P. A. Crowell, R. T. Scalettar, and G. G. Batrouni
Phys. Rev. B 50, 6515(R) – Published 1 September 1994
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Abstract

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.

    DOI:https://doi.org/10.1103/PhysRevB.50.6515

    ©1994 American Physical Society

    Authors & Affiliations

    G. T. Zimanyi

    • Department of Physics, University of California, Davis, California 95616

    P. A. Crowell

    • Laboratory of Atomic and Solid State Physics and the Materials Science Center, Cornell University, Ithaca, New York 14853-2501

    R. T. Scalettar

    • Department of Physics, University of California, Davis, California 95616

    G. G. Batrouni

    • Thinking Machines Corporation, 245 First Street, Cambridge, Massachusetts 02142

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    Vol. 50, Iss. 9 — 1 September 1994

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