{ "id": "1605.07138", "version": "v1", "published": "2016-05-23T18:57:46.000Z", "updated": "2016-05-23T18:57:46.000Z", "title": "Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride", "authors": [ "Ashley M. DaSilva", "Jeil Jung", "Allan H. MacDonald" ], "categories": [ "cond-mat.mes-hall" ], "abstract": "In fractionally filled Landau levels there is only a small energy difference between broken translational symmetry electron-crystal states and exotic correlated quantum fluid states. We show that the spatially periodic substrate interaction associated with the long period moir\\'{e} patterns present in graphene on nearly aligned hexagonal boron nitride (hBN) tilts this close competition in favor of the former, explaining surprising recent experimental findings.", "revisions": [ { "version": "v1", "updated": "2016-05-23T18:57:46.000Z" } ], "analyses": { "keywords": [ "hexagonal boron nitride", "fractional hofstadter states", "correlated quantum fluid states", "periodic substrate interaction", "broken translational symmetry electron-crystal states" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }