Josephson effect in a Weyl SNS junction

Abstract

We calculate the Josephson current density j(phi) for a Weyl superconductor--normal-metal--superconductor junction for which the outer terminals are superconducting Weyl metals and the normal layer is a Weyl (semi)metal. We describe the Weyl (semi)metal using a simple model with two Weyl points. The model has broken time-reveresal symmetry, but inversion symmetry is present. We calculate the Josephson current for both zero and finite temperature for the two pairing mechanisms inside the superconductors that have been proposed in the literature, zero-momentum BCS-like pairing and finite-momentum FFLO-like pairing, and assuming the short-junction limit. For both pairing types we find that the current is proportional to the normal-state junction conductivity, with a proportionality coefficient that shows quantitative differences between the two pairing mechanisms. The current for the BCS-like pairing is found to be independent of the chemical potential, whereas the current for the FFLO-like pairing is not.

7 pages, 4 figures

References in corpus (42)

• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Andreev reflection and Klein tunneling in graphene
• Bipolar supercurrent in graphene
• Experimental observation of Weyl points
• Observation of Weyl nodes in TaAs
• Discovery of a Weyl Fermion semimetal state in NbAs
• Quantum-limited shot noise in graphene
• Superconductivity in Weyl Semimetal Candidate MoTe2
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Recent developments in transport phenomena in Weyl semimetals
• Experimental discovery of a topological Weyl semimetal state in TaP
• Josephson effect in ballistic graphene
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• Weyl superconductors
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Helicity protected ultrahigh mobility Weyl fermions in NbP
• Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7
• Quantum transport of disordered Weyl semimetals at the nodal point
• Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
• Superconductivity in Weyl metals
• Unsaturated both large positive and negative magnetoresistance in Weyl Semimetal TaP
• Evidence for an anomalous current phase relation in topological insulator Josephson junctions
• Superconducting proximity effect through graphene from zero field to the Quantum Hall regime
• Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
• Crossed surface flat bands of Weyl semimetal superconductors
• Odd parity superconductivity in Weyl semimetals
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
• Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
• Anomalous temperature dependence of the supercurrent through a chaotic Josephson junction
• Three "universal" mesoscopic Josephson effects
• Specular Andreev Reflection in Inversion-symmetric Weyl-semimetals
• Superconductivity in doped inversion-symmetric Weyl semimetals
• Current-phase relation for Josephson effect through helical metal
• Quantum phase transitions of a disordered antiferromagnetic topological insulator
• Chiral nodes and oscillations in the Josephson current in Weyl semimetals
• Probing unconventional superconductivity in inversion symmetric doped Weyl semimetal
• Quasiclassical Theory of the Josephson Effect in Ballistic Graphene Junctions
• Effect of impurities on the Josephson current through helical metals: Exploiting a neutrino paradigm

Cited by in corpus (26)

• Observation of an edge supercurrent in the Weyl superconductor MoTe${}_2$
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Chirality blockade of Andreev reflection in a magnetic Weyl semimetal
• $0$-$\pi$ transitions in a Josephson junction of irradiated Weyl semimetal
• In situ Imaging of an Anisotropic Layer-by-Layer Phase Transition in Few-Layer MoTe2
• Fermi arc reconstruction at the interface of twisted Weyl semimetals
• Chirality Josephson current due to a novel quantum anomaly in inversion-asymmetric Weyl semimetals
• Induced superconductivity in Fermi arcs
• 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
• Light-modulated Josephson effect in Kekulé patterned graphene
• Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal
• Transport through Andreev bound states in a Weyl semimetal quantum dot
• Influence of a chiral chemical potential on Weyl hybrid junctions
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Andreev bound states in Josephson junctions of semi-Dirac semimetals
• Tunneling chirality Hall effect in type-I Weyl semimetals
• 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
• Symmetries of Weyl Superconductors with Different Pairings
• Nature of Andreev bound states in Josephson junctions of triple-point semimetals
• Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect