Multivalued current-phase relationship in a.c. Josephson effect for a three-dimensional Weyl semimetal WTe${}_2$

Abstract

We experimentally study electron transport between two superconducting indium leads, coupled to a single WTe${}_2$ crystal, which is a three-dimensional Weyl semimetal. We demonstrate Josephson current in long 5~$\mu$m In-WTe${}_2$-In junctions, as confirmed by the observation of integer (1,2,3) and fractional (1/3, 1/2, 2/3) Shapiro steps under microwave irradiation. Demonstration of fractional a.c. Josephson effect indicates multivalued character of the current-phase relationship, which we connect with Weyl topological surface states contribution to Josephson current. In contrast to topological insulators and Dirac semimetals, we do not observe $4\pi$ periodicity in a.c. Josephson effect for WTe${}_2$ at different frequencies and power, which might reflect chiral character of the Fermi arc surface states in Weyl semimetal.

the text is seriously corrected. arXiv admin note: text overlap with arXiv:1801.09551

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• Gate-dependent non-linear Hall effect at room temperature in topological semimetal GeTe
• Interface superconductivity in a type-II Dirac semimetal NiTe${}_2$
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Band gap reconstruction at the interface between black phosphorus and a gold electrode
• Andreev reflection for MnTe altermagnet candidate
• Evidence of the ferroelectric polarization in charge transport through WTe${}_2$ Weyl semimetal surface
• Dynamic negative capacitance regime in GeTe Rashba ferroelectric
• Reentrant proximity-induced superconductivity for GeTe semimetal
• Current-induced control of the polarization state in a polar metal based heterostructure SnSe/WTe${}_2$
• Fractional ac Josephson effect as evidence of topological hinge states in a Dirac semimetal NiTe2
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal