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Currents in the compressible and incompressible regions of the two-dimensional electron gas

Currents in the compressible and incompressible regions of the two-dimensional electron gas

We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length l. The analysis is based on a self-consistent one-electron description, such as the Hartree …