Comment on "HADOKEN: An open-source software package for predicting electron confinement effects in various nanowire geometries and configurations"

TL;DR

This paper critiques a recent MATLAB software for solving the Schrödinger-Poisson problem in nanowires, identifying errors that invalidate its results and suggesting corrections.

Contribution

It provides a detailed analysis of the errors in the existing software and proposes methods to correct the solutions for accurate electron confinement predictions.

Findings

Identified a critical error in the Schrödinger equation solution

Highlighted the impact of the error on the results validity

Suggested fixes to improve the software accuracy

Abstract

In a recent work [C. Chevalier, B. M. Wong, Comput. Phys. Commun. ${\bf 274}$, 108299 (2022); arXiv: 2203.05233 [cond-mat.mes-hall]] the interesting and popular problem was considered. Authors attempted to solve the self-consistent Schr\"{o}dinger-Poisson problem for an effective mass electron in a core-shell semiconductor nanowire. The corresponding MATLAB-based software package was presented. However, an incorrect solution of the Schr\"{o}dinger equation invalidates the whole result. Here we point out the corresponding error and possible ways to fix it.