Spin-spin interaction in the bulk of topological insulators

Abstract

We apply mean-field theory and Hirsch-Fye quantum Monte Carlo method to study the spin-spin interaction in the bulk of three-dimensional topological insulators. We find that the spin-spin interaction has three different components: the longitudinal, the transverse and the transverse Dzyaloshinskii-Moriya-like terms. When the Fermi energy is located in the bulk gap of topological insulators, the spin-spin interaction decays exponentially due to Bloembergen-Rowland interaction. The longitudinal correlation is antiferromagnetic and the transverse correlations are ferromagnetic. When the chemical potential is in the conduction or valence band, the spin-spin interaction follows power law decay, and isotropic ferromagnetic interaction dominates in short separation limit.

9 pages, 10 figures

References in corpus (16)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Field Theory of Time-Reversal Invariant Insulators
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Localized Magnetic States in Graphene
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Tunable Casimir repulsion with three dimensional topological insulators
• Tailoring Magnetic Doping in the Topological Insulator Bi2Se3
• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
• Magnetic Impurities in Graphene
• Topological phase transitions driven by magnetic phase transitions in FexBi2Te3 (0 < x < 0.1) single crystals
• Long-range ferromagnetic correlations between Anderson impurities in a semiconductor host
• Generalized quantization condition in topological insulator
• Quantum impurity in the bulk of topological insulator
• The two-impurity Kondo model with spin-orbit interactions

Cited by in corpus (6)

• The Kondo Temperature of a Two-dimensional Electron Gas with Rashba Spin-orbit Coupling
• Tunable correlation effects of magnetic impurities by the cubic Rashba spin-orbit couplings
• Antiferromagnetism and spin density waves in 3D Dirac semimetals
• RKKY interaction in helical higher-order topological insulators
• Highly tunable magnetic coupling in ultrathin topological insulator films due to impurity resonances
• Thermodynamics of Two-impurity Anderson Model with Dzyaloshinskii-Moriya Interaction