Non-local control of spin-spin correlation in finite geometry helical edge

Abstract

An infinite edge of a quantum Hall system prohibits indirect exchange coupling between two spins whereas a quantum spin-Hall edge prohibits out-of-plane coupling. In this study we analyze an unexpected breakdown of this behaviors in a finite system, where the two spins can interact also via a longer path that traverses the whole perimeter of the system. We explain this using an analytical model as well as using tight binding models in real space. Based on this finding, we propose how using a lead far away from the spins can switch the coupling on and off among them non-locally.

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Cited by in corpus (5)

• Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems
• RKKY coupling in Weyl semimetal thin films
• RKKY interaction in Mn-doped 4 $\times$ 4 Luttinger systems
• Magnetic correlation between two local spins in a quantum spin Hall insulator
• Natural orbitals renormalization group approach to a spin-1/2 impurity interacting with two helical liquids