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Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot

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arxiv 2105.02830 v4 pith:JQHMWNZU submitted 2021-05-06 cond-mat.mes-hall cond-mat.supr-conquant-ph

Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot

classification cond-mat.mes-hall cond-mat.supr-conquant-ph
keywords majoranaandreevcrossedreflectionquantumsuperconductingbraidingconductance
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a three-terminal structure to probe robust signatures of Majorana zero modes. This structure consists of a quantum dot coupled to the normal metal, s-wave superconducting and Majorana Y-junction leads. The zero-bias differential conductance at zero temperature of the normal-metal lead peaks at $2e^{2}/h$, which will be deflected after Majorana braiding. This quantized conductance can entirely arise from the Majorana-induced crossed Andreev reflection, protected by the energy gap of the superconducting lead. We find that the effect of thermal broadening is significantly suppressed when the dot is on resonance. In the case that the energy level of the quantum dot is much larger than the superconducting gap, tunneling processes are dominated by Majorana-induced crossed Andreev reflection. Particularly, a novel kind of crossed Andreev reflection equivalent to the splitting of charge quanta $3e$ occurs after Majorana braiding.

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