{ "id": "cond-mat/0007216", "version": "v1", "published": "2000-07-12T21:40:21.000Z", "updated": "2000-07-12T21:40:21.000Z", "title": "Photoluminescence from fractional quantum Hall systems: Role of separation between electron and hole layers", "authors": [ "Arkadiusz Wojs", "John J. Quinn" ], "comment": "12 pages, 5 figures, submitted to PRB", "journal": "Phys. Rev. B 63, 045304 (2001)", "doi": "10.1103/PhysRevB.63.045304", "categories": [ "cond-mat.mes-hall" ], "abstract": "The photoluminescence (PL) spectrum of a two-dimensional electron gas (2DEG) in the fractional quantum Hall regime is studied as a function of the separation $d$ between the electron and valence hole layers. The abrupt change in the response of the 2DEG to the optically injected hole at $d$ of the order of the magnetic length $\\lambda$ results in a complete reconstruction of the PL spectrum. At $d<\\lambda$, the hole binds one or two electrons to form neutral ($X$) or charged ($X^-$) excitons, and the PL spectrum probes the lifetimes and binding energies of these states rather than the original correlations of the 2DEG. At $d>2\\lambda$, depending on the filling factor $\\nu$, the hole either decouples from the 2DEG to form an ``uncorrelated'' state $h$ or binds one or two Laughlin quasielectrons (QE) to form fractionally charged excitons $h$QE or $h$QE$_2$. The strict optical selection rules for bound states are formulated, and the only optically active ones turn out to be $h$, $h$QE* (an excited state of the dark $h$QE), and $h$QE$_2$. The ``anyon exciton'' $h$QE$_3$ suggested in earlier studies is neither stable nor radiative at any value of $d$. The critical dependence of the stability of different states on the presence of QE's in the 2DEG explains the observed anomalies in the PL spectrum at $\\nu={1\\over3}$ and ${2\\over3}$.", "revisions": [ { "version": "v1", "updated": "2000-07-12T21:40:21.000Z" } ], "analyses": { "keywords": [ "fractional quantum hall systems", "hole layers", "pl spectrum", "separation", "photoluminescence" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }