Hall magnetocapacitance in two-dimensional electron systems

The magnetocapacitance of a two-dimensional electron system (2DES) is investigated experimentally, both under and away from Quantum Hall (QH) conditions, at frequencies between 1 kHz and 100 MHz. The nature of the capacitive signal in a bounded 2DES is determined by a resistive cut-off frequency 1/$\tau \propto {\sigma }_{xx}$, the longitudinal magnetoconductivity. A new response mechanism is reported for angular frequencies $\omega >1\mathrm{/}\tau$, which is controlled by the $\text{em}transverse$ or Hall conductivity ${\sigma }_{xy}$ and the boundaries of the sample, even at frequencies far below those of the Edge Magnetoplasma resonances and away from the QH-conditions.