Wave Functions around the Injector of the Two-Dimensional Electron System

Abstract

We calculate the wave functions of the stationary states for the geometry of the semi-infinite two-dimensional region with a narrow channel as a first step in the investigation of the behaviour of the electron waves around the injector. In the presence of a magnetic field, we obtain a periodic peak structure in the modulus squared of the wave function along the boundary in the semi-infinite two-dimensional region, the period of which is nearly equal to the classical cyclotron diameter. Moreover, it is shown that small peaks exist between the periodic main peaks, which is considered to be one of the characteristic aspects of the quantum interference effects.