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Novel non-local effects in three-terminal hybrid devices with quantum dot

We predict strong non-local effects in the three-terminal hybrid device, comprising the quantum dot embedded between two conducting leads and third superconducting reservoir. They result from competition between the ballistic electron transfer and the crossed Andreev scattering. The non-local voltage induced in response to the 'driving' current changes the magnitude and sign upon varying the gate potential and/or coupling to the superconducting lead. Such effect is robust both in the linear and non-linear regimes, where the screening and the long-range interactions play significant role. This novel subgap transport is provided by the Shiba states and can be contrasted with much weaker non-local effects observed hitherto in the three-terminal 'planar' junctions.