The effect of impurities on spin polarized Zeeman bound states in dilute magnetic semiconductor-superconductor hybrids

TL;DR

This study explores how impurities affect spin-polarized Zeeman bound states in dilute magnetic semiconductor-superconductor hybrids, showing these states are robust against impurities and have significant experimental implications.

Contribution

It provides a detailed analysis of impurity effects on Zeeman-bound states, demonstrating their robustness in hybrid systems with potential applications in spintronics.

Findings

Zeeman bound states survive impurity presence across realistic strengths.

Bound states remain stable with multiple impurities and ensemble averaging.

Results suggest strong experimental resilience of spin textures in hybrid systems.

Abstract

We investigate the effect of single and multiple impurities on the Zeeman-localized, spin polarized bound states in dilute magnetic semiconductor hybrid system. Such bound states appear whenever a dilute magnetic semiconductor showing giant Zeeman effect is exposed to an external magnetic field showing nanoscale inhomogeneity. We consider the specific example of a superconductor-dilute magnetic semiconductor hybrid, calculate the energy spectrum and the wave functions of the bound states in the presence of a single impurity, and monitor the evolution of the bound state as a function of the impurity strength and impurity location with respect to the center of the Zeeman trapping potential. Our results have important experimental implications as they predict robust spin textures even for than than ideal samples. We find that for all realistic impurity strengths the Zeeman bound state survives the presence of the impurity. We also investigate the effect of a large number of impurities and perform ensemble averages with respect to the impurity locations. We find that the spin polarized Zeeman bound states are very robust, and they remain bound to the external field inhomogeneity throughout the experimentally relevant region of impurity concentration and scattering strength.