Characterization of topological states on a lattice with Chern number

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 3 figures, V2: changes in the presentation

Scientific paper

10.1209/0295-5075/81/10005

We study Chern numbers to characterize the ground state of strongly interacting systems on a lattice. This method allows us to perform a numerical characterization of bosonic fractional quantum Hall (FQH) states on a lattice where conventional overlap calculation with known continuum case such as Laughlin state, breaks down due to the lattice structure or dipole-dipole interaction. The non-vanishing Chern number indicates the existence of a topological order in the degenerate ground state manifold.

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