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Manipulation of helical edge states revealed by crossed Andreev reflection

Wei Luo, Yating Zhang, Wei Chen

DOI 10.1103/PhysRevB.111.125124 · Physical Review B

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Abstract

The edge states of a quantum spin Hall insulator exhibit helical properties, which have generated significant interest in the field of spintronics. Although it is predicted theoretically that Rashba spin-orbit coupling can effectively regulate the edge state spin, experimental characterization of this spin control remains challenging. Here, we propose utilizing crossed Andreev reflection to probe the efficiency of gate voltage control on the edge state spin. We calculate the transport properties of the quantum spin Hall insulator-superconductor heterojunction by using nonequilibrium Green's function method. We find that the probabilities of crossed Andreev reflection, electron transmission, and nonlocal conductance all include the relative spin rotation angle θ caused by the Rashba spin-orbit coupling in the helical edge states. Notably, when the incident energy is close to the superconducting gap, the differential conductance G2∝−cosθ. Thus, the influence of Rashba spin-orbit coupling on the edge state spin can be quantitatively characterized by crossed Andreev reflection, which provides a feasible scheme for experimental testing.

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