Power law nature in electron solid interaction

TL;DR

This paper demonstrates that the spread area of impinging electrons and the change in critical energies in a solid follow power law distributions, revealing insights into the solid's self-organization and potential device monitoring applications.

Contribution

It introduces a novel power law analysis of electron-solid interactions using Monte Carlo simulations, linking electron behavior to material self-organization.

Findings

Electron spread area follows a power law with energy.

Critical energies vary with lateral distance following a power law.

Power law behavior indicates the degree of self-organization in solids.

Abstract

Monte carlo simulation of paths of a large number of impinging electrons in a multi-layered solid allows to define area of spreading electrons (A) to capture overall behavior of the solid. This parameter 'A' follows power law with electron energy. Further, change in critical energies, which are minimum energies lost corresponding to various electrons, as a function of variation in lateral distance also follows power law nature. This power law behavior could be an indicator of how strong self-organization a solid has which may be used in monitoring efficiency of device fabrication.