{ "id": "1704.03026", "version": "v1", "published": "2017-04-10T19:17:00.000Z", "updated": "2017-04-10T19:17:00.000Z", "title": "Landau-level-mixing and the ground state of the 5/2 quantum Hall effect", "authors": [ "Edward H. Rezayi" ], "comment": "5 pages, 6 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "Inter-Landau-level transitions break particle hole symmetry and will choose either the Pfaffian or the anti-Pfaffian state as the absolute ground state at 5/2 filling of the fractional quantum Hall effect. An approach based on truncating the Hilbert space has favored the anti-Pfaffian. A second approach based on an effective Hamiltonian produced the Pfaffian. In this letter perturbation theory is applied to finite sizes without bias to any specific pseudo-potential component. This method also singles out the anti-Pfaffian. A critical piece of the effective Hamiltonian, which was absent in previous studies, reverts the ground state at 5/2 to the anti-Pfaffian.", "revisions": [ { "version": "v1", "updated": "2017-04-10T19:17:00.000Z" } ], "analyses": { "keywords": [ "ground state", "transitions break particle hole symmetry", "inter-landau-level transitions break particle hole", "anti-pfaffian", "fractional quantum hall effect" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }