Identifying Majorana bound states by tunneling shot-noise tomography

Abstract

Majorana fermions are promising building blocks of forthcoming technology in quantum computing. However, their non-ambiguous identification has remained a difficult issue because of the concomitant competition with other topologically trivial fermionic states, which poison their detection in most spectroscopic probes. By employing numerical and analytical methods, here we show that the Fano factor tomography is a key distinctive feature of a Majorana bound state, displaying a spatially constant Poissonian value equal to one. In contrast, the Fano factor of other trivial fermionic states, like the Yu-Shiba-Rusinov or Andreev ones, is strongly spatially dependent and exceeds one as a direct consequence of the local particle-hole symmetry breaking.

6 pages, 2 figures+ 11 pages supplementary material

References in corpus (11)

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• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
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Cited by in corpus (14)

• Coherent and incoherent tunneling into YSR states revealed by atomic scale shot-noise spectroscopy
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Single-electron charge transfer into putative Majorana and trivial modes in individual vortices
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Shot-noise and differential conductance as signatures of putative topological superconductivity in FeSe${}_{0.45}$Te${}_{0.55}$
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Transient effects in quantum dots contacted via topological superconductor
• Signatures of Kondo-Majorana interplay in ac response
• Identifying Majorana Zero Modes in Vortex Lattices Using Fano Factor Tomography
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography
• Excess photon-assisted noise of Majorana and Andreev bound states