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- W2037896477 abstract "We show how the conformal mapping method can be used to map out the equipotential and current stream lines for an arbitrary Hall plate with van der Pauw geometry by reformulating the Schwarz–Christoffel equation in a form most convenient for computation. Our numerical technique is then used to determine the potential and current distributions in a AlxGa1−x As/GaAs heterostructure with parallel conduction. Our results for a single layer agree with experimental observations at low magnetic field and for regions between the plateaus of the quantum Hall effect. Equipotential and current stream lines are obtained for two previously proposed models for the heterostructures with parallel conduction: the two-band model and the isolated layer model. In the case of a large Hall angle (near the plateau of the quantum Hall effect) singularities of electric fields occur around the source-drain contacts as in a standard Hall bar. For the isolated layer model, additional singularities are formed around the side contacts due to the circulating Hall current through the side contacts which connect the two-dimensional electron gas layer and the supply layer." @default.
- W2037896477 created "2016-06-24" @default.
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- W2037896477 date "1989-07-15" @default.
- W2037896477 modified "2023-10-16" @default.
- W2037896477 title "Conformal mapping and the current distributions in Al<i>x</i>Ga1−<i>x</i>As/GaAs heterostructures" @default.
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- W2037896477 doi "https://doi.org/10.1063/1.343537" @default.
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