Bose-Hubbard model and superfluid staircases in [sup 4]He films

Journal Article · Thu Sep 01 04:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.6515· OSTI ID:7196757

Zimanyi, G T ^[1]; Crowell, P A ^[2]; Scalettar, R T ^[1]; Batrouni, G G ^[3]

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1. Department of Physics, University of California, Davis, California 95616 (United States)
2. Laboratory of Atomic and Solid State Physics and the Materials Science Center, Cornell University, Ithaca, New York 14853-2501 (United States)
3. Thinking Machines Corporation, 245 First Street, Cambridge, Massachusetts 02142 (United States)

The recent experimental observation of steplike structure in the superfluid density of [sup 4]He 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.

• OSTI ID: 7196757
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:9; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
COMPUTERIZED SIMULATION
CRYSTAL MODELS
EVEN-EVEN NUCLEI
FILMS
HELIUM 4
HELIUM ISOTOPES
HUBBARD MODEL
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
MONTE CARLO METHOD
NUCLEI
SIMULATION
STABLE ISOTOPES
SUPERFLUIDITY