{ "id": "1007.2030", "version": "v3", "published": "2010-07-13T04:08:14.000Z", "updated": "2010-11-30T20:57:07.000Z", "title": "Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States", "authors": [ "Maissam Barkeshli", "Xiao-Gang Wen" ], "comment": "4 pages + refs", "journal": "Phys.Rev.Lett.105:216804,2010", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We find a series of possible continuous quantum phase transitions between fractional quantum Hall (FQH) states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p,p,p-3) Abelian two-component state while the other side is the non-Abelian Z4 parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z2 gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at \\nu = 2/3 and single-component systems at \\nu = 8/3.", "revisions": [ { "version": "v3", "updated": "2010-11-30T20:57:07.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "11.15.-q", "11.25.Hf" ], "keywords": [ "non-abelian fractional quantum hall states", "continuous topological phase transitions", "anyon condensation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "doi": "10.1103/PhysRevLett.105.216804", "year": 2010, "month": "Nov", "volume": 105, "number": 21, "pages": 216804 }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 861315, "adsabs": "2010PhRvL.105u6804B" } } }