Characterization of Topological States on a Lattice with Chern Number
نویسندگان
چکیده
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. We calculate the Chern number by manipulating the twist angles of boundary conditions and counting vortices of a complex field related to the ground state manifold. The non-vanishing Chern number provides an unambiguous characterization for topological degenerate states which is an indication of FQH.
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