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Long-range Cooper pair splitting by chiral Majorana edge states

Oscar Casas-Barrera, Shirley Gómez Páez, William J. Herrera

DOI 10.1103/PhysRevB.110.045415 · Physical Review B

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Abstract

We analyze the transport properties of a Cooper pair splitter device composed of two-point electrodes in contact with a ferromagnetic/superconductor (F/S) junction constructed on the surface of a topological insulator (TI). For the pair potential in the S region, we consider s- and d-wave symmetries, while for the F region, we focus on a magnetization vector normal to the TI surface. Nonlocal transport along the F/S interface is mediated by chiral Majorana edge states, with chirality controlled by the polarization of the magnetization vector. We demonstrate that crossed Andreev reflections slowly decay with the separation of the electrodes in standard clean samples. Our system exhibits a maximum Cooper-pair-splitting efficiency of 80% for a symmetrical voltage configuration, even in high-temperature superconductor devices.

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