Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy

Abstract

Trivial Andreev bound states arising from chemical potential variations could lead to zero-bias tunneling conductance peaks at finite magnetic fields in class $D$ nanowires, precisely mimicking the predicted zero-bias conductance peaks arising from the topological Majorana bound states. This finding raises a serious question on the efficacy of using zero-bias tunneling conductance peaks, by themselves, as evidence supporting the existence of topological Majorana bound states in nanowires. In the current work, we provide specific experimental protocols for tunneling spectroscopy measure- ments to distinguish between Andreev and Majorana bound states without invoking more demand- ing nonlocal measurements which have not yet been successfully performed in nanowire systems. In particular, we discuss three distinct experimental schemes involving response of the zero-bias peak to local perturbations of the tunnel barrier, overlap of bound states from the wire ends, and most compellingly, introducing a sharp localized potential in the wire itself to perturb the zero-bias tun- neling peaks. We provide extensive numerical simulations clarifying and supporting our theoretical predictions.

6 pages, 4 figures

References in corpus (23)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Quantized Majorana conductance
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Scaling of Majorana Zero-Bias Conductance Peaks
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Ballistic superconductivity in semiconductor nanowires
• Proximity effect at the superconductor - topological insulator interface
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Role of dissipation in realistic Majorana nanowires
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• X-shaped and Y-shaped Andreev resonance profiles in a superconducting quantum dot
• Conductance interference in a superconducting Coulomb blockaded Majorana ring

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• Interaction induced hybridization of Majorana zero-modes in a coupled quantum-dot hybrid-nanowire system
• Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
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• Yu-Shiba-Rusinov bound states versus topological edge states in Pb/Si(111)
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• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Majorana phase-gate based on the geometric phase
• Aharonov-Bohm interference as a probe of Majorana fermions
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Flux-induced Topological Superconductor in Planar Josephson Junction
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Topologically nontrivial and trivial zero modes in chiral molecules
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Majorana zero modes by engineering topological kink states in two dimensional electron gas
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• Concomitant opening of a topological bulk-gap with an emerging Majorana edge-state
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• Thermoelectric fluctuations of interfering Majorana bound states
• Majorana zero modes in semiconductor-superconductor hybrid structures: Defining topology in short and disordered nanowires through Majorana splitting
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• Signatures of Majorana bound states in scanning gate microscopy of hybrid nanowires
• Nonlocal signatures of hybridization between quantum dot and Andreev bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography