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Using high magnetic fields up to 60 T, we report magneto-transport andphotoluminescence (PL) studies of a two-dimensional electron gas (2DEG) in aGaN/AlGaN heterojunction grown by molecular-beam epitaxy. Transportmeasurements demonstrate that the quantum limit can be exceeded (Landau levelfilling factor $\nu < 1$), and show evidence for the $\nu =2/3$ fractionalquantum Hall state. Simultaneous optical and transport measurements revealsynchronous quantum oscillations of both the PL intensity and longitudinalresistivity in the integer quantum Hall regime. PL spectra directly reveal thedispersion of occupied Landau levels in the 2DEG and therefore the electronmass. These results demonstrate the utility of high (pulsed) magnetic fieldsfor detailed measurements of quantum phenomena in high-density 2DEGs.

GaN/AlGaN 2DEGs in the quantum regime: Magneto-transport and photoluminescence to 60 tesla