Abstract
Edge magnetoplasma modes are studied in the two-dimensional electron gas confined at the $\mathrm{Ga}\mathrm{N}∕{\mathrm{Al}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{N}$ interface using standard microwave resonance spectroscopy. The position and shape of the resonance line are described by the theory for the dimension-dependent plasmon-cyclotron coupling and the Drude model of momentum relaxation. The analysis of the resonance line shape provides a contactless method for the determination of the sheet electron concentration and the mobility of the two-dimensional electron gas. In addition, we observe Shubnikov--de Haas oscillations using the same microwave resonance spectrometry. We compare values for the cyclotron and quantum mobilities obtained from the plasmon-cyclotron linewidth and the magnetic field dependence of the Shubnikov--de Haas signal, respectively.
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