Abstract

We have studied transport of a two-dimensional electron gas in a shallow heterostructure prepared by metal–organic chemical vapour deposition. Using atomic force microscopy we have locally oxidized the surface of a two-terminal device. The oxidation depletes the area with the two-dimensional electron gas below the oxide line, and divides the device into two regions isolated by an energy barrier. We have found that the logarithm of the transport current between these two regions depends linearly on the root of the applied voltage, which shows that the current is controlled by the Poole–Frenkel effect. The experimental results are supported by computer simulations of current–voltage characteristics using an ensemble Monte Carlo method with molecular dynamics included to account for the electron–electron and electron–donor interactions.

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