Chiral nodes and oscillations in the Josephson current in Weyl semimetals

Abstract

The separation of the Weyl nodes in a broken time-reversal symmetric Weyl semimetal leads to helical quasi-particle excitations at the Weyl nodes, which, when coupled with overall spin conservation allows only inter-nodal transport at the junction of the Weyl semimetal with a superconductor. This leads to an unusual periodic oscillation in the Josephson current as a function of $k_{0}L$, where $L$ is the length of the Weyl semimetal and $2k_0$ is the inter-nodal distance. This oscillation is robust and should be experimentally measurable, providing a direct path to confirming the existence of chiral nodes in the Weyl semimetal.

4+1 Pages + Appendix, V2: Accepted version to be published on Phys. Rev. B (Rapid Comm)

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• Josephson junctions of Weyl and multi-Weyl semimetals
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• Josephson current signatures of the Majorana flat bands on the surface of time-reversal-invariant Weyl and Dirac semimetals
• Fermi arc reconstruction at the interface of twisted Weyl semimetals
• Weyl-Majorana solenoid
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• Induced superconductivity in Fermi arcs
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Josephson effect in type-I Weyl Semimetals
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Transport across junctions of a Weyl and a multi-Weyl semimetal
• Transport through Andreev bound states in a Weyl semimetal quantum dot
• Transport across junctions of pseudospin-one fermions
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
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• Thermoelectric properties of inversion symmetry broken Weyl semimetal-Weyl superconductor hybrid junctions
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Theory of universal differential conductance of magnetic Weyl type -II junctions
• Fabry-Perot interferometry in Weyl semi-metals
• Josephson oscillations of chirality and identity in two-dimensional solitons in spin-orbit-coupled condensates