Quantum‐mechanical analysis of scattering of an electron beam in magnetic fields by a finite height potential by means of BEM

Abstract

SUMMARYThis paper analyzes quantum-mechanically the scattering of electron beams due to a finite and constant scattering potential in a magnetic field by using the boundary element method. The system is divided into parts with and without the scattering potential. In each region, the boundary integral equation is established. Then, the wave function and its normal derivative at the potential boundary common to both regions are included. Although both are unknown, they can be obtained as direct solutions by solving the two integral equations simultaneously. The present method is applied to a magnetic electron focusing structure with a finitely high square potential between the emitter and collector and the probability distribution of the electrons is computed. The results are interpreted physically and the effectiveness and problems of the present method are discussed.

A novel numerical method for the analysis of electron transport in the presence of pointlike magnetic scatterers

“…In the present paper, we attempt to treat theoretically electron transport in a 2D electron gas with a lot of magnetic scatterers [15]. In particular, we focus on the spin flip-flop of a conducting electron.…”