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

Abstract

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.

15 pages, 8 figures, accepted for publication in Physical Review B

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• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Shot-noise and differential conductance as signatures of putative topological superconductivity in FeSe${}_{0.45}$Te${}_{0.55}$
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Superconducting triangular islands as a platform for manipulating Majorana zero modes
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Thermoelectric fluctuations of interfering Majorana bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Creating and detecting poor man's Majorana bound states in interacting quantum dots
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases