Position-dependent mass models and their nonlinear characterization

TL;DR

This paper explores position-dependent mass models, specifically Zhu-Kroemer and BenDaniel-Duke, linking them to soliton solutions of the KdV equation within a supersymmetric context.

Contribution

It establishes novel correspondences between specific mass models and soliton solutions using a supersymmetric framework.

Findings

Identifies links between mass models and soliton solutions.

Highlights supersymmetric structures in position-dependent mass systems.

Provides new insights into nonlinear characterization of these models.

Abstract

We consider the specific models of Zhu-Kroemer and BenDaniel-Duke in a sech$^{2}$-mass background and point out interesting correspondences with the stationary 1-soliton and 2-soliton solutions of the KdV equation in a supersymmetric framework.