Linear and ultrafast optical spectroscopy in the regime of the quantum Hall effect

Abstract

We review our optical experiments on two‐dimensional electron systems (2DES) of different mobilities, realized in modulation‐doped GaAs–AlGaAs single quantum wells, in quantizing magnetic fields. The carrier densities of the 2DESs could be tuned in a quite broad range between about 1 × 1010 cm–2 and 2 × 1011 cm–2 via gate electrodes. In photoluminescence (PL) and absorption experiments on 2DES with moderate mobility, at very low electron densities, we have observed the formation of negatively charged excitons. In these experiments, we could identify a dark triplet exciton, which is observable at temperatures below 1 K and for electron filling factors v < 1/3 i.e., in the fractional quantum Hall regime, only. In experiments where we have increased the density of the 2DES so that a uniform 2DES starts to form, we have found a strong energetic anomaly of the charged excitons in the vicinity of filling factor 1/3. The anomaly could be explained by a model, assuming that at very low temperatures localized charged excitons and a uniform Laughlin liquid coexist. Furthermore, we report on ultrafast optical experiments at the v = 1 quantum Hall state of a high‐mobility 2DES in a GaAs–AlGaAs single quantum well. By spectrally‐resolved four‐wave‐mixing experiments, we have investigated the coherent dynamics of photo‐excited electron–hole pairs and found extraordinarily long decoherence times for electrons, excited into the upper spin level, around v = 1 We attribute the observed faster decay of the dephasing time for v < 1 as compared to v > 1 presumably to the coherent coupling of the spin levels via spin waves. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Quantum control of a Landau-quantized two-dimensional electron gas in a GaAs quantum well using coherent terahertz pulses

“…The dephasing of interband photoexcited carriers (for which Kohn's theorem does not apply) is strongly dependent on the filling factor, presumably due to the electron-electron interactions within a Landau level. 28,29 In contrast, in the present intraband excitation experiments, no obvious filling-factor dependence was observed, which implies that dephasing due to electron-electron interactions is also prohibited by Kohn's theorem.…”

Terahertz Coherent Control of a Landau-Quantized Two-Dimensional Electron Gas

“…Defects might ultimately limit the decoherence time as in DC transport (momentum relaxation time ∼ 143 ps in our sample). The dephasing of interband photoexcited carriers (for which Kohn's theorem does not apply) is strongly dependent on the filling factor [24,25]. In contrast, in the present intraband excitation experiments, no obvious filling-factor dependence was observed, which implies that dephasing due to electron-electron interactions is also prohibited by Kohn's theorem.…”

Trionic optical potential for electrons in semiconductors

“…Wave Mixing experiments that have been carried out in 2DEG systems (for a review see 26 ). The only difference is that we are proposing to explore a different regime of carrier density and excitation energy.…”