In-plane noncollinear exchange coupling mediated by helical edge states in Quantum Spin Hall system
Jinhua Gao, Weiqiang Chen, X. C. Xie, and Fu-chun Zhang

TL;DR
This paper investigates how helical edge states in quantum spin Hall systems mediate an in-plane noncollinear RKKY exchange interaction between local spins, with the spin angle controllable via electric gating.
Contribution
It reveals that helical edge states induce a unique in-plane noncollinear exchange coupling, differing from normal metals, and demonstrates electric control of spin orientation.
Findings
Helical edge states induce in-plane noncollinear exchange coupling.
The spin angle depends on the Fermi level.
Electric gating can control the spin configuration.
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.
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