Abstract
We have measured the transfer efficiency of electrons from one Quantum Point Contact (QPC) to another QPC as a function of magnetic field. We obtained a double-peak profile for the point contact quantized to two wave modes. We suggested that this profile reflects the angular distribution of electrons emitted from the QPC using Fraunhofer diffraction approximation through the QPC by an electron propagating according to Green's function. However we used classical Lorentz force for analysis to account for the effect of the magnetic field. The analysis seems to be an unnatural mixture of quantum mechanics and classical mechanics. This paper describes quantum mechanical Fraunhofer diffraction analysis including the magnetic field to resolve this unnaturalness. This analytic result agreed with the above analytic and experimental results, confirming that we have measured angular distribution of electron wave injected through a QPC. It should be noted that our double-peak profile is explained by Fraunhofer diffraction of electron wave. This paper also discusses the interference between the 1st and 2nd mode elctron waves.
