2000/06/30 by Arkadiusz Wojs, Arkadiusz Wójs, John J. Quinn · 1 citation
Physics and Astronomy · #Atomic physics #Binding energy #Condensed matter physics #Electron #Electron hole #Exciton #Fermion #Lambda #Landau quantization #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Spectral line #Valence (chemistry) #Wave function #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.63.045303
published as Phys. Rev. B 63, 045303 (2001) · 16 pages, 14 figures, submitted to PRB
arxiv created 2000/06/30 · openalex publication_date 2000/12/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The energy spectrum of a two-dimensional electron gas (2DEG) in the fractional quantum Hall regime interacting with an optically injected valence band hole is studied as a function of the filling factor \ensuremathν and the separation d between the electron and hole layers. The response of the 2DEG to the hole changes abruptly at d of the order of the magnetic length \ensuremathλ. At d<\ensuremathλ, the hole binds electrons to form neutral (X) or charged (X^\ensuremath-) excitons, and the photoluminescence (PL) spectrum probes the lifetimes and binding energies of these states rather than the original correlations of the 2DEG. The ``dressed exciton'' picture (in which the interaction between an exciton and the 2DEG was proposed to merely enhance the exciton mass) is questioned. Instead, the low energy states are explained in terms of Laughlin correlations between the constituent fermions (electrons and X^\ensuremath-'s) and the formation of two-component incompressible fluid states in the electron-hole plasma. At d>2\ensuremathλ, the hole binds up to two Laughlin quasielectrons (QE) of the 2DEG to form fractionally charged excitons hQEn. The previously found ``anyon exciton'' hQE3 is shown to be unstable at any value of d. The critical dependence of the stability of different hQEn complexes on the presence of QE's in the 2DEG leads to the observed discontinuity of the PL spectrum at \ensuremathν=(1)/(3) or (2)/(3).