{ "id": "cond-mat/9809024", "version": "v1", "published": "1998-09-01T22:05:37.000Z", "updated": "1998-09-01T22:05:37.000Z", "title": "Transition from quantum Hall to compressible states in the second Landau level: new light on the $ν$=5/2 enigma", "authors": [ "Rudolf H. Morf" ], "comment": "This paper has already appeared in PRL, but has not been on the web", "journal": "Phys. Rev. Lett. 80, 1505 (1998)", "doi": "10.1103/PhysRevLett.80.1505", "categories": [ "cond-mat.mes-hall" ], "abstract": "Quantum Hall states at filling fraction $\\nu$=5/2 are examined by numerical diagonalization. Spin-polarized and -unpolarized states of systems with $N\\le 18$ electrons are studied, neglecting effects of Landau level mixing. We find that the ground state is spin polarized. It is incompressible and has a large overlap with paired states like the Pfaffian. For a given sample, the energy gap is about 11 times smaller than at $\\nu$=1/3. Evidence is presented of phase transitions to compressible states, driven by the interaction strength at short distance. A reinterpretation of experiments is suggested.", "revisions": [ { "version": "v1", "updated": "1998-09-01T22:05:37.000Z" } ], "analyses": { "keywords": [ "second landau level", "compressible states", "quantum hall states", "short distance", "interaction strength" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }