Energy spectra and photoluminescence of fractional quantum Hall systems containing a valence-band hole

The energy spectrum of a two-dimensional electron gas (2DEG) interacting wi th a valence-band hole is studied in the high magnetic field limit as a fun ction of the filling factor v and the separation d between the electron and hole layers. For d smaller than the magnetic length lambda, the hole binds one or more electrons to form neutral (X) or charged (X-) excitons. The lo w-lying states can be understood in terms of Laughlin-like correlations amo ng the constituent charged fermions (electrons and X-). For d comparable to lambda, the electron-hole interaction is not strong enough to bind a full electron, and fractionally charged excitons hQE(n) (bound states of a hole and one or more Laughlin quasi-electrons, QEs) are formed. The effect of th ese excitonic complexes on the photoluminescence spectrum is studied numeri cally for a wide range of values of v and d.