2018/01/31 by Mahroo Shiranzaei, Jonas Fransson, Hosein Cheraghchi +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Antiferromagnetism #Condensed matter physics #Coupling (piping) #Heisenberg model #Impurity #Ising model #Isotropy #Mathematics #Nonlinear system #Physics #Quantum many-body systems #Quantum mechanics #Scattering #Sign (mathematics) #Spin (aerodynamics) #Topological Materials and Phenomena #Topological insulator #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.97.180402
published as Phys. Rev. B 97, 180402 (2018)
arxiv created 2018/05/07 · openalex publication_date 2018/05/07 · arxiv updated 2018/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We revise the theory of the indirect exchange interaction between magnetic impurities beyond the linear response theory to establish the effect of impurity resonances in the surface states of a three-dimensional topological insulator. The interaction is composed of isotropic Heisenberg, anisotropic Ising, and Dzyaloshinskii-Moriya types of couplings. We find that all three contributions are finite at the Dirac point, which is in stark contrast to the linear response theory which predicts a vanishing Dzyaloshinskii-Moriya-type contribution. We show that the spin-independent component of the impurity scattering can generate large values of the Dzyaloshinskii-Moriya-type coupling in comparison with the Heisenberg and Ising types of couplings, while these latter contributions drastically reduce in magnitude and undergo sign changes. As a result, both collinear and noncollinear configurations are allowed magnetic configurations of the impurities.