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Charged Excitons in the Quantum Hall Regime: Optical Probe of Fractionally Charged Quasiholes

Schüller, Christian and Broocks, Kay-Birger and Schröter, Patrick and Heyn, Christian and Heitmann, Detlef and Bichler, Max and Wegscheider, Werner and Apalkov, Vladimir M. and Chakraborty, Tapash (2004) Charged Excitons in the Quantum Hall Regime: Optical Probe of Fractionally Charged Quasiholes. Advances in solid state physics 44, pp. 1209-1210.

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Abstract

We review recent optical experiments on dilute two-dimensional electron systems (2DES) at very low temperatures ( $$$$ T<0.1 $$$$ K) and high magnetic fields. In photoluminescence experiments on a 2DES subjected to a quantizing magnetic field around $$$\nu$ =1/3 $$$$ , we have observed an anomalous dispersion of the charged excitons. We have found that the anomaly exists only at a very low temperature $$$$ (0.1 $$$$ K) and an intermediate electron density $$$$ (0.9 $\times$ 10^ ${11}$$$ cm $$$$ ^ ${-2}$ ) $$$$ . It is explained to occur due to the perturbation of the incompressible liquid at $$$\nu$ =1/3 $$$$ . The perturbation is induced by the close proximity of a localized charged exciton which creates a fractionally-charged quasihole in the liquid. The intriguing experimentally observed puzzle that the anomaly (2 meV) can be destroyed by applying a small thermal energy of $\sim$ 0.2 $\,$ meV is thereby resolved, as this energy is enough to close the quasihole energy gap. This work presents a first ever probe of the quasihole gap in a quantum Hall system.