Hafezi, MohammadSørensen, AndersLukin, MikhailDemler, Eugene2012-01-202008Hafezi, M., A. S. Sørensen, M. D. Lukin, and E. Demler. 2008. Characterization of topological states on a lattice with Chern number. Europhysics Letters 81(1): 10005.1286-48540295-5075http://nrs.harvard.edu/urn-3:HUL.InstRepos:8000896We 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 the conventional overlap calculation with the known continuum case such as the 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.en-USmesoscale physicsnanoscale physicsquantum physicsJournal Article2012-01-2010.1209/0295-5075/81/10005