Evolution of $4\pi$-periodic Supercurrent in the Presence of In-plane Magnetic Field

Abstract

In the presence of a 4$\pi$-periodic contribution to the current phase relation, for example in topological Josephson junctions, odd Shapiro steps are expected to be missing. While missing odd Shapiro steps have been observed in several material systems and interpreted in the context of topological superconductivity, they have also been observed in topologically trivial junctions. Here, we study the evolution of such trivial missing odd Shapiro steps in Al-InAs junctions in the presence of an in-plane magnetic field $B^{\theta }$. We find that the odd steps reappear at a crossover $B^{\theta }$ value, exhibiting an in-plane field angle anisotropy that depends on spin-orbit coupling effects. We interpret this behavior by theoretically analyzing the Andreev bound state spectrum and the transitions induced by the non-adiabatic dynamics of the junction. Our results highlight the complex phenomenology of missing Shapiro steps and the underlying current phase relations in planar Josephson junctions designed to realize Majorana states.

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Cited by in corpus (8)

• Progress in superconductor-semiconductor topological Josephson junctions
• Quasiparticle dynamics in epitaxial Al-InAs planar Josephson junctions
• AC Josephson effect in a gate-tunable Cd${}_3$As${}_2$ nanowire superconducting weak link
• Microwave Signatures of Topological Superconductivity in Planar Josephson Junctions
• Microwave Andreev bound state spectroscopy in a semiconductor-based Planar Josephson junction
• Tuning the the fundamental periodicity of the current-phase relation in multiterminal diffusive Josephson junctions
• Unveiling Topological Hinge States in the Higher-Order Topological Insulator WTe${}_2$ Based on the Fractional Josephson Effect
• Gate tunable enhancement of supercurrent in hybrid planar Josephson junctions