Abstract
Understanding the intricacies of magnetism mechanisms on the surface of topological materials, and focusing on the Ruderman-Kittel-Kasuya-Yosida interaction and its modulation, proves to be intriguing for spintronic applications. In this study, we explore switching possibilities between ferromagnetic (FM) and antiferromagnetic (AFM) couplings on the surface of topological crystalline insulator SnTe through electron-phonon coupling (EPC) and magnetic proximity effect (MPE). Our calculations, based on retarded Green's functions in real space, provide insights into the impact of EPC and MPE on FM/AFM couplings at intermediate impurity separations, where significant responses occur. Importantly, both factors induce the switch between FM and AFM in the XYZ-Heisenberg Jx/y/z and in-plane symmetric Jxy components.
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