Josephson junctions of Weyl and multi-Weyl semimetals

Abstract

We study a Josephson junction involving a Weyl and a multi-Weyl semimetal separated by a barrier region of width $d$ created by putting a gate voltage $U_0$ over the Weyl semimetal. The topological winding number of such a junction changes across the barrier. We show that $I_c{R}_N$ for such junctions, where $I_c$ is the critical current and $R_N$ the normal state resistance, in the thin barrier limit, has a universal value independent of the barrier potential. We provide an analytical expression of the Andreev bound states and use it to demonstrate that the universal value of $I_c{R}_N$ is a consequence of change in topological winding number across the junction. We also study AC Josephson effect in such a junction in the presence of an external microwave radiation, chart out its current-voltage characteristics, and show that the change in the winding number across the junction shapes the properties of its Shapiro steps. We discuss the effect of increasing barrier thickness $d$ on the above-mentioned properties and chart out experiments which may test our theory.

arXiv commentv2. 10 figs, 11 pages. Refs added and submitted to journal

References in corpus (60)

• The electronic properties of graphene
• Topological Insulators
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Topological Materials: Weyl Semimetals
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Andreev reflection and Klein tunneling in graphene
• Correlated quantum phenomena in the strong spin-orbit regime
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Topological response in Weyl semimetals and the chiral anomaly
• Recent developments in transport phenomena in Weyl semimetals
• Specular Andreev reflection in graphene
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Weyl semimetal with broken time reversal and inversion symmetries
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Chiral anomaly and transport in Weyl metals
• Josephson effect in ballistic graphene
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$
• Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
• Tunneling conductance of graphene NIS junctions
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• Criteria for directly detecting topological Fermi arcs in Weyl semimetals
• Disorder and metal-insulator transitions in Weyl semimetals
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
• Interacting Weyl fermions: Phases, phase transitions and global phase diagram
• A condensed matter realization of the axial magnetic effect
• Topological Invariants of Metals and Related Physical Effects
• Topological Weyl Semi-metal from a Lattice Model
• Chiral degeneracies and Fermi-surface Chern numbers in bcc Fe
• Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal MonoChalcogenides
• Optical conductivity of multi-Weyl semimetals
• Topological responses from chiral anomaly in multi-Weyl semimetals
• Josephson effect in graphene SBS junctions
• Superconductivity in Type-II Weyl Semimetals
• Theory of tunneling conductance of graphene NIS junctions
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Electron interactions, spin-orbit coupling, intersite correlations in pyrochlore iridates
• Doping and tilting on optics in noncentrosymmetric multi-Weyl semimetals
• Chiral nodes and oscillations in the Josephson current in Weyl semimetals
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Collective modes in multi-Weyl semimetals
• Andreev Reflection in Weyl Semimetals
• $0$-$\pi$ transitions in a Josephson junction of irradiated Weyl semimetal
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Devil's Staircases and Continued Fractions in the Josephson Junctions
• Imbert-Fedorov shift in Weyl semimetals: Dependence on monopole charge and intervalley scattering
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Topological Properties of the Chiral Magnetic Effect in Multi-Weyl Semimetals
• Josephson junction detectors for Majorana modes and Dirac fermions
• Transport across junctions of a Weyl and a multi-Weyl semimetal
• Transport through Andreev bound states in a Weyl semimetal quantum dot
• Influence of a chiral chemical potential on Weyl hybrid junctions

Cited by in corpus (14)

• Supercurrent Diode Effect, Spin Torques, and Robust Zero-Energy Peak in Planar Half-Metallic Trilayers
• Supercurrent diode effect in thin film Nb tracks
• Josephson effect in type-I Weyl Semimetals
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Proximity-induced equilibrium supercurrent and perfect superconducting diode effect due to band asymmetry
• Photogalvanic response in multi-Weyl semimetals
• Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Andreev bound states in Josephson junctions of semi-Dirac semimetals
• Supergap and subgap enhanced currents in asymmetric {S_1FS_2} Josephson junctions
• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Nature of Andreev bound states in Josephson junctions of triple-point semimetals
• Transmission through rectangular potentials in semimetals featuring quadratic dispersion
• Delta-function-potential junctions with quasiparticles occupying tilted bands with quadratic-in-momentum dispersion