Simultaneous diagonal and off-diagonal order in the Bose-Hubbard Hamiltonian

Journal Article · Sat Apr 01 00:00:00 EST 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.51.8467· OSTI ID:26144

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

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1. Physics Department, University of California, Davis, California 95616 (United States)
2. Groupe Matiere Condensee et Materiaux (URA 804), Universite de Rennes I, 35042 Rennes CEDEX (France)
3. Institut fuer Theoretische Physik, Universitaet zu Koeln, 50937 Koeln (Germany)

The Bose-Hubbard model exhibits a rich phase diagram consisting both of insulating regimes where diagonal long-range (solid) order dominates as well as conducting regimes where off-diagonal long-range order (superfluidity) is present. In this paper we describe the results of quantum Monte Carlo calculations of the phase diagram, both for the hard- and soft-core cases, with a particular focus on the possibility of simultaneous superfluid and solid order. We also discuss the appearance of phase separation in the model. The simulations are compared with analytic calculations of the phase diagram and spin-wave dispersion.

• OSTI ID: 26144
• Journal Information: Physical Review, B: Condensed Matter, Vol. 51, Issue 13; Other Information: PBD: 1 Apr 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HELIUM 4
SUPERFLUIDITY
ORDER PARAMETERS
SPIN WAVES
DISPERSION RELATIONS
HUBBARD MODEL
MONTE CARLO METHOD
QUANTUM MECHANICS
BOSE-EINSTEIN STATISTICS
HELIUM II