Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators

Abstract

We consider Josephson junctions on surfaces of three dimensional topological insulator nanowires. We find that in the presence of a parallel magnetic field, short junctions on nanowires show signatures of a perfectly transmitted mode capable of supporting Majorana fermions. Such signatures appear in the current-phase relation in the presence or absence of the fermion parity anomaly, and are most striking when considering the critical current as a function of flux Φ, which exhibits a peak at Φ=h/2e. The peak sharpens in the presence of disorder at low but finite chemical potentials, and can be easily disentangled from weak-antilocalization effects. The peak also survives at small but finite temperatures, and represents a realistic and robust hallmark for perfect transmission and the emergence of Majorana physics inside the wire.

8 pages, including supplementary material

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Cited by in corpus (26)

• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• Magnetic field induced helical mode and topological transitions in a quasi-ballistic topological insulator nanoribbon with circumferentially quantized surface state sub-bands
• Theory of Majorana zero modes in unconventional superconductors
• Majorana qubits in topological insulator nanoribbon architecture
• Superconducting proximity effect and Majorana flat bands in the surface of a Weyl semimetal
• Robust Transport Signatures of Topological Superconductivity in Topological Insulator Nanowires
• Anomalous low-temperature enhancement of supercurrent in topological-insulator nanoribbon Josephson junctions: evidence for low-energy Andreev bound states
• Pseudo-ballistic transport in 3D topological insulator quantum wires
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• Universal Majorana thermoelectric noise
• Two-dimensional topological superconductivity with antiferromagnetic insulators
• Gate-tunable supercurrent and multiple Andreev reflections in a superconductor-topological insulator nanoribbon-superconductor hybrid device
• Josephson current signatures of the Majorana flat bands on the surface of time-reversal-invariant Weyl and Dirac semimetals
• Conditions for fully gapped topological superconductivity in topological insulator nanowires
• Nonequilibrium Majorana fluctuations
• Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• Materials analysis and focused ion beam nanofabrication of topological insulator Bi2Se3
• Majorana differential shot noise and its universal thermoelectric crossover
• Conductance fluctuations and disorder induced $\nu =0$ quantum Hall plateau in topological insulator nanowires
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire
• Transport in topological insulator nanowires
• Thermoelectric fluctuations of interfering Majorana bound states
• Landau-Zener transitions for Majorana fermions
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states