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The spatial distribution of the incompressible edge states (IES) is obtainedfor a geometry which is topologically equivalent to an electronic Mach-Zehnderinterferometer, taking into account the electron-electron interactions within aHartree type self-consistent model. The magnetic field dependence of these IESis investigated and it is found that an interference pattern may be observed iftwo IES merge or come very close, near the quantum point contacts. Ourcalculations demonstrate that, being in a quantized Hall plateau does notguarantee observing the interference behavior.

The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)