Measuring Majorana non-locality and spin structure with a quantum dot

Abstract

Robust zero bias transport anomalies in semiconducting nanowires with proximity-induced superconductivity have been convincingly demonstrated in various experiments. While these are compatible with the existence of Majorana zero modes at the ends of the nanowire, a direct proof of their non-locality and topological protection is now needed. Here we show that a quantum dot at the end of the nanowire may be used as a powerful spectroscopic tool to quantify the degree of Majorana non-locality through a local transport measurement. Moreover, the spin polarization of dot sub-gap states at singlet-doublet transitions in the Coulomb blockade regime allows the dot to directly probe the spin structure of the Majorana wave function, and indirectly measure the spin-orbit coupling of the nanowire.

11 pages, 7 figures. Published version (includes an extended study of the effects of disorder and nanowire inhomogeneities)

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• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Decaying spectral oscillations in a Majorana wire with finite coherence length
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• Hybridization at superconductor-semiconductor interfaces
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• A two-site Kitaev chain in a two-dimensional electron gas
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• Theory of Majorana zero modes in unconventional superconductors
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Weak measurement protocols for Majorana bound state identification
• Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
• Plateau regions for zero-bias peaks within 5% of the quantized conductance value $2e^2/h$
• Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
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• Braiding Majorana zero modes using quantum dots
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• Magnetic field independent sub-gap states in hybrid Rashba nanowires
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
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• Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
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• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
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• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
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• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
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• Manipulating Majorana zero modes in double quantum dots
• Enhancement of the thermoelectric effect due to the Majorana zero modes coupled to one quantum-dot system
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• Disorder Protected and Induced Local Zero-Modes in Longer-Range Kitaev Chains
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Finite length effect on supercurrents between trivial and topological superconductors
• Interaction induced hybridization of Majorana zero-modes in a coupled quantum-dot hybrid-nanowire system
• Majorana mode leaking into a spin-charge entangled double quantum dot
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Progress in superconductor-semiconductor topological Josephson junctions
• Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
• Control and detection of Majorana bound states in quantum dot arrays
• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
• Majorana molecules and their spectral fingerprints
• Josephson effect in junctions of conventional and topological superconductors
• Effects of decoherence on diabatic errors in Majorana braiding
• Experimental review on Majorana zero-modes in hybrid nanowires
• Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Topological isoconductance signatures in Majorana nanowires
• Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system
• Detecting Majorana modes by readout of poisoning-induced parity flips
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• Charge sensing the parity of an Andreev molecule
• Tomography of zero-energy end modes in topological superconducting wires
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Transconductance as a probe of nonlocality of Majorana fermions
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• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
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• Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
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• Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
• Stabilization of a Majorana Zero Mode through Quantum Frustration
• Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Fraunhofer pattern in the presence of Majorana zero modes
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• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Anomalous proximity effect under Andreev and Majorana bound states
• Spin selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowire
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• Anomalous spin textures in a 2D topological superconductor induced by point impurities
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• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Excess photon-assisted noise of Majorana and Andreev bound states