Indirect exchange interaction between magnetic impurities near the helical edge
arXiv:1612.08417 · doi:10.1103/PhysRevB.95.115430
Abstract
The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the helical states at the edge of the topological insulator demonstrates behaviour which is typical for the Ruderman-Kittel-Kasuya-Yosida interaction in a one-dimensional metal. We have shown that interference between the bulk and edge states in the two-dimensional topological insulator results in existence of the unusual contribution to the indirect exchange interaction which, on the one hand, decays exponentially with a distance at the length scale controlled by the Fermi energy of the edge states and, on the other hand, oscillates with distance along the helical edge with the period determined by the Fermi wave length. We found that this interference contribution to the indirect exchange interaction becomes dominant for such configurations of two magnetic impurities when one of them is situated close to the helical edge whereas the other one is located far away in the bulk.
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Cited by in corpus (23)
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- Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
- Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
- Topological insulator ring with magnetic impurities
- Finite frequency backscattering current noise at a helical edge
- Spontaneous breaking of time-reversal symmetry at the edges of 1T' monolayer transition metal dichalcogenides
- Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
- Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
- Chiral numerical renormalization group
- Robustness of Helical Edge States Under Edge Reconstruction
- Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
- Spin Berry curvature of the Haldane model
- Selective generation and amplification of RKKY interactions by P-N interface
- RKKY interaction in one-dimensional flat-band lattices
- RKKY interaction at helical edges of topological superconductors
- Synthesizing and Controlling Helical Indirect Exchange Interactions at Nonequilibrium
- Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
- Magnetic correlation between two local spins in a quantum spin Hall insulator
- Impurities in 3D quadratic band-touching Luttinger semimetals : Friedel and RKKY oscillations
- Edge Reconstruction in a Quantum Spin Hall Insulator