We examined the influence of microwave radiation on both the amplitude of Shubnikov-de Haas (SdH) oscillations and the null field longitudinal magnetoresistance at liquid helium temperatures, in GaAs/AlGaAs Hall bar devices. Microwave radiation over the frequency range 25 ≤ f ≤ 50 GHz with source power 0 ≤ P ≤ 4 mW served to photo-excite the high mobility (10 7 cm 2 /V s) 2D electron system (2DES) as magnetoresistance traces were obtained as a function of the microwave power P and temperature T. Lineshape study of SdH oscillations has been carried out over the span 2.3 < ωc/ω ≤ 5.2, where ωc = eB/m * , ω = 2πf , B is the magnetic field, m * is the effective mass and f is the microwave frequency. Here, fits of the SdH lineshape served to determine the electron temperature (Te) as a function of P and T. Theory has proposed that, in the ωc/ω ≥ 1 regime, both the electron temperature and radiation energy absorption rate (Sp) exhibit relatively small response, while in the ωc/ω ≤ 1 regime, both Te and Sp are enhanced and exhibit oscillatory behavior. We compare the experimental results with these theoretical predictions, and comment upon relative role of electron heating in the microwave photo-excited high mobility 2DES.

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The photoionization branching ratios of spin–orbit doublets are studied both experimentally and theoretically at energies several keV above threshold. The results show significant relativistic effects for Ar 2p in the autoionizing region below the 1s threshold, and large many-body effects for Xe 3d and 4d in the vicinity of the L-shell thresholds. The branching ratios in Xe are also found to vary significantly over very broad multi-keV energy regions both above and below the inner-shell thresholds. In addition, the Ar 2p study confirms experimentally the decades-old theoretical prediction that the nonresonant branching ratio does not approach the statistical (nonrelativistic) value, and, in fact, progressively diverges from statistical with increasing photon energy.

The magnetotransport properties of the high mobility GaAs/AlGaAs two-dimensional electron gas systems have been examined to determine the influence of the ac current bias on the carrier temperature. The changes in the line shape of Shubnikov-de Haas oscillations in the longitudinal magnetoresistance ([Formula: see text]) were followed as a function of the ac current bias in the temperature range of [Formula: see text] in order to determine the carrier heating effect due to the ac bias. The lineshape analysis of these oscillations indicates that the carrier temperature of the two-dimensional electron system is linearly proportional to the ac bias current.

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