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Full-Text Articles in Condensed Matter Physics
Two-Dimensional Bose–Hubbard Model For Helium On Graphene, Jiangyong Yu
Two-Dimensional Bose–Hubbard Model For Helium On Graphene, Jiangyong Yu
Graduate College Dissertations and Theses
An exciting development in the field of correlated systems is the possibilityof realizing two-dimensional (2D) phases of quantum matter. For a systems of bosons, an example of strong correlations manifesting themselves in a 2D environment is provided by helium adsorbed on graphene. We construct the effective Bose-Hubbard model for this system which involves hard-core bosons (U ≈ ∞) and repulsive nearest-neighbor (V > 0) interactions. In this work, we focus on the calculations of single particle properties of the model such as the hopping parameter t. This is accomplished via Wannier Theory and Band structure calculations, which proves to be reliable …