In-plane noncollinear exchange coupling mediated by helical edge states in Quantum Spin Hall system

Abstract

We study the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction mediated by helical edge states in quantum spin hall system. The helical edge states induce an in-plane noncollinear exchange coupling between two local spins, in contrast to the isotropic coupling induced in normal metal. The angle between the two local spins in the ground state depends on the Fermi level. This property may be used to control the angle of spins by tuning the electric gate.

4 pages, 1 figure

References in corpus (9)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• RKKY in half-filled bipartite lattices: graphene as an example
• Diluted Graphene Antiferromagnet
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Corner Junction as a Probe of Helical Edge States
• Tunneling between edge states in a quantum spin Hall system
• Spatial trends of non-collinear exchange coupling mediated by itinerant carriers with different Fermi surfaces

Cited by in corpus (22)

• Topological insulators and superconductors
• Helical Luttinger liquid in topological insulator nanowires
• Magnetoelectric Response of the Time-Reversal Invariant Helical Metal
• Helical edge states coupled to a spin bath: Current-induced magnetization
• Kondo lattice on the edge of a two-dimensional topological insulator
• Competing topological and Kondo insulator phases on a honeycomb lattice
• The topological surface state of $\alpha$-Sn on InSb(001) as studied by photoemission
• Spin Helix of Magnetic Impurities in Two-dimensional Helical Metal
• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Noncollinear twisted RKKY interaction on the optically driven SnTe(001) surface
• Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
• Size effect of Ruderman-Kittel-Kasuya-Yosida interaction mediated by electrons in nanoribbons
• RKKY coupling in Weyl semimetal thin films
• Non-local control of spin-spin correlation in finite geometry helical edge
• The effect of magnetic impurity scattering on transport in topological insulators
• Chiral numerical renormalization group
• Spin Berry curvature of the Haldane model
• Tuning the electronic structure and magnetic coupling in armchair B${}_2$S nanoribbons using strain and staggered sublattice potential
• RKKY interaction in one-dimensional flat-band lattices
• RKKY interaction at helical edges of topological superconductors
• 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