Self-pulsing of electron transmission by a transversal magnetic field

TL;DR

This paper investigates how a transversal magnetic field induces a self-pulsing pattern in electron transmission delay times within a waveguide, revealing complex singularities linked to magnetic focusing effects.

Contribution

It introduces the concept of self-pulsing in electron transmission delay times and analyzes the underlying singularities and their relation to magnetic focusing.

Findings

Distribution shows maxima (logarithmic singularities) under magnetic field.

Location of singularities follows a simple commensurability condition.

Self-pulsing is a time-dependent analog of transverse magnetic focusing.

Abstract

The distribution of scattering delay times is analyzed for classical electrons which are transmitted through a finite waveguide. For non-zero magnetic field the distribution shows a regular pattern of maxima (logarithmic singularities). Although their location follows from a simple commensurability condition, there is no straightforward geometric explanation of this self-pulsing effect. Rather it can be understood as a time-dependent analog of transverse magnetic focusing, in terms of the stationary points of the delay time. We also discuss the possibility of singularities in the delay-time distribution for generic 2D scattering systems.