Indirect exchange interaction between magnetic impurities in the two-dimensional topological insulator based on CdTe/HgTe/CdTe quantum wells

Abstract

We study indirect exchange interaction between magnetic impurities in the (001) CdTe/HgTe/CdTe symmetric quantum well. We consider low temperatures and the case of the chemical potential placed in the energy gap of the 2D quasiparticle spectrum. We find that the indirect exchange interaction is suppressed exponentially with the distance between magnetic impurities. The presence of inversion asymmetry results in oscillations of the indirect exchange interaction with the distance and generates additional terms which are non-invariant under rotations in the (001) plane. The indirect exchange interaction matrix has complicated structure with some terms proportional to the sign of the energy gap.

13 pages, 6 figures

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• Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
• Topological insulator ring with magnetic impurities
• Hall effect driven by non-collinear magnetic polarons in diluted magnetic semiconductors
• The effects of KSEA interaction on the ground-state properties of spin chains in a transverse field
• Formation of bound states from the edge states of 2D topological insulator by macroscopic magnetic barriers
• Synthesizing and Controlling Helical Indirect Exchange Interactions at Nonequilibrium
• Impurities in 3D quadratic band-touching Luttinger semimetals : Friedel and RKKY oscillations