Signatures of topological Josephson junctions

Abstract

Quasiparticle poisoning and diabatic transitions may significantly narrow the window for the experimental observation of the $4\pi$-periodic $dc$ Josephson effect predicted for topological Josephson junctions. Here, we show that switching current measurements provide accessible and robust signatures for topological superconductivity which persist in the presence of quasiparticle poisoning processes. Such measurements provide access to the phase-dependent subgap spectrum and Josephson currents of the topological junction when incorporating it into an asymmetric SQUID together with a conventional Josephson junction with large critical current. We also argue that pump-probe experiments with multiple current pulses can be used to measure the quasiparticle poisoning rates of the topological junction. The proposed signatures are particularly robust, even in the presence of Zeeman fields and spin-orbit coupling, when focusing on short Josephson junctions. Finally, we also consider microwave excitations of short topological Josephson junctions which may complement switching current measurements.

25 pages, 13 figures. Accepted by Phys. Rev. B

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• Quantum transport in high-quality shallow InSb quantum wells
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• Microwave spectroscopy of Andreev states in InAs nanowire-based hybrid junctions using a flip-chip layout
• Josephson Diode Effect in Topological Superconductor
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Doubled Shapiro Steps in a Topological Josephson Junction
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• Distinguishing Majorana bound states and Andreev bound states with microwave spectra
• Quantum-critical dynamics of a Josephson junction at the topological transition
• Transport signatures of inverted Andreev bands in topological Josephson junctions
• Josephson Junctions Via Anodization of Epitaxial Al on an InAs Heterostructure
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• Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems
• Detecting fractional Josephson effect through $4\pi$ phase slip
• Tuning the the fundamental periodicity of the current-phase relation in multiterminal diffusive Josephson junctions
• Highly skewed current-phase relation in superconductor-topological insulator-superconductor Josephson junctions
• Phase-dependent supercurrent and microwave dissipation of HgTe quantum well Josephson junctions
• Tunable effective length of fractional Josephson junctions