The RKKY coupling in diluted magnetic semiconductors

TL;DR

This paper modifies the RKKY model to incorporate finite band splitting, enabling analysis of magnetic resonance in diluted magnetic semiconductors and revealing anisotropic exchange interactions.

Contribution

It introduces a phenomenological modification to the RKKY model by including band splitting, resulting in anisotropic exchange interactions in magnetic semiconductors.

Findings

RKKY exchange becomes anisotropic due to band splitting

Finite band splitting affects magnetic resonance analysis

Modified model aligns with experimental observations

Abstract

This paper is an attempt to modify the classic Ruderman-Kittel-Kasuya-Yosida (RKKY) model to allow the analysis of the magnetic resonance measurements. In our calculations, we follow the treatment of the original authors of the RKKY model but include the finite band splitting, {\Delta}, as a phenomenological parameter. The RKKY exchange is not anymore of Heisenberg type and an anisotropy induced by the direction of carrier magnetization occurs.