{ "id": "0803.1016", "version": "v3", "published": "2008-03-07T02:47:15.000Z", "updated": "2008-05-03T03:18:46.000Z", "title": "Topological properties of Abelian and non-Abelian quantum Hall states from the pattern of zeros", "authors": [ "Xiao-Gang Wen", "Zhenghan Wang" ], "comment": "26 pages. RevTeX4", "journal": "Phys. Rev. B 78, 155109 (2008)", "doi": "10.1103/PhysRevB.78.155109", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el", "math-ph", "math.MP" ], "abstract": "It has been shown that different Abelian and non-Abelian fraction quantum Hall states can be characterized by patterns of zeros described by sequences of integers {S_a}. In this paper, we will show how to use the data {S_a} to calculate various topological properties of the corresponding fraction quantum Hall state, such as the number of possible quasiparticle types and their quantum numbers, as well as the actions of the quasiparticle tunneling and modular transformations on the degenerate ground states on torus.", "revisions": [ { "version": "v3", "updated": "2008-05-03T03:18:46.000Z" } ], "analyses": { "subjects": [ "73.43.-f" ], "keywords": [ "non-abelian quantum hall states", "topological properties", "non-abelian fraction quantum hall states", "corresponding fraction quantum hall state" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "Oct", "volume": 78, "number": 15, "pages": 155109 }, "note": { "typesetting": "RevTeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..78o5109W" } } }