{ "id": "0706.0769", "version": "v2", "published": "2007-06-06T05:59:52.000Z", "updated": "2007-12-04T22:43:24.000Z", "title": "Characterization of topological states on a lattice with Chern number", "authors": [ "Mohammad Hafezi", "Anders S. Sorensen", "Mikhail D. Lukin", "Eugene Demler" ], "comment": "5 pages, 3 figures, V2: changes in the presentation", "journal": "EPL 81 No 1 (January 2008) 10005", "doi": "10.1209/0295-5075/81/10005", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "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.", "revisions": [ { "version": "v2", "updated": "2007-12-04T22:43:24.000Z" } ], "analyses": { "keywords": [ "chern number", "topological states", "characterization", "degenerate ground state manifold", "bosonic fractional quantum hall" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2008, "month": "Jan", "volume": 81, "number": 1, "pages": 10005 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008EL.....8110005H" } } }