An investigation of the gate dependence in an electronic Aharonov–Bohm interferometer

In this study we have obtained the dependence of the electronic distribution on the gate shape and the applied gate voltage in a quantum Hall effect based Aharonov–Bohm interferometer using a method presented in our previous studies. We have discussed the relation between the distribution of incompressible strips and observation of Aharonov–Bohm oscillations. We have obtained the distributions of the incompressible strips for various gate voltages and have shown that a gate potential sweep and a magnetic field sweep would be equivalent. Our calculations also predict that for wider gate separations it is possible observe a silent region while sweeping the magnetic field or the gate voltage.

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► Distribution of the incompressible strips in an AB interferometer is obtained.
► Gate voltage dependence of the incompressible strip distribution is studied.
► Incompressible strips can be used to replace electron beams in an AB interferometer.
► An alternative iterative method is used for the solution of TFP equation.