Magnetointerferometry of multiterminal Josephson junctions

Abstract

We report a theoretical study of multiterminal Josephson junctions under the influence of a magnetic field $B$. We consider a ballistic rectangular two-dimensional metal $N_0$ connected by the edges to the left, right, top and bottom superconductors $S_L$, $S_R$, $S_T$ and $S_B$, respectively. We numerically calculate in the large-gap approximation the critical current $I_c$ versus $B$ between the left and right $S_L$ and $S_R$ for various aspect ratios, with the top and bottom $S_T$ and $S_B$ playing the role of superconducting mirrors. We find the critical current $I_c$ to be enhanced by orders of magnitude, especially at long distance, due to the phase rigidity provided by the mirrors. We obtain superconducting quantum interference device-like magnetic oscillations. With symmetric couplings, the self-consistent superconducting phase variables of the top and bottom mirrors take the values $0$ or $\pi$, as for emerging Ising degrees of freedom. We propose a simple effective Josephson junction circuit model that is compatible with these microscopic numerical calculations. From the $I_c(B)$ patterns we infer where the supercurrent flows in various device geometries. In particular in the elongated geometry, we show that the supercurrent flows between all pairs of contacts, which allows exploring the full phase space of the relevant phase differences.

arXiv comment15 pages, 6 figures, minor modifications

References in corpus (67)

• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Induced Superconductivity in the Quantum Spin Hall Edge
• Supercurrent in the quantum Hall regime
• Multi-terminal Josephson junctions as topological materials
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Andreev Level Qubit
• Photon assisted tunneling as an origin of the Dynes density of states
• Gate-tunable Superconducting Diode Effect in a Three-terminal Josephson Device
• Spatially resolved edge currents and guided-wave electronic states in graphene
• Proximity DC squids in the long junction limit
• Topological transconductance quantization in a four-terminal Josephson junction
• The multi-terminal Josephson effect
• Vanishing quasiparticle density in a hybrid Al/Cu/Al single-electron transistor
• Magnetic Interference Patterns and Vortices in Diffusive SNS junctions
• Supercurrent Flow in Multi-Terminal Graphene Josephson Junctions
• Topological Andreev bands in three-terminal Josephson junctions
• Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
• Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
• Nonlocal Josephson effect in Andreev molecules
• Steady Floquet-Andreev States Probed by Tunnelling Spectroscopy
• Non-local Supercurrent of Quartets in a Three-Terminal Josephson Junction
• Sub-Gap Structure in the Conductance of a Three-Terminal Josephson Junction
• Transport Studies in a Gate-Tunable Three-Terminal Josephson Junction
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Weyl Josephson Circuits
• Insulating Josephson-junction chains as pinned Luttinger liquids
• Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures
• Coherent transport and nonlocality in mesoscopic SNS junctions: anomalous magnetic interference patterns
• Geometry-related magnetic interference patterns in long SNS Josephson junctions
• Multipair DC-Josephson Resonances in a biased all-superconducting Bijunction
• Josephson junctions of multiple superconducting wires
• Observation of nonlocal Josephson effect on double InAs nanowires
• Josephson Diode Effect in Andreev Molecules
• Transconductance quantization in a topological Josephson tunnel junction circuit
• Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
• Simple Floquet-Wannier-Stark-Andreev viewpoint and emergence of low-energy scales in a voltage-biased three-terminal Josephson junction
• Electrostatic tailoring of magnetic interference in quantum point contact ballistic Josephson junctions
• Reflectionless tunneling in ballistic normal-metal--superconductor junctions
• Engineering the Floquet spectrum of superconducting multiterminal quantum dots
• Engineering of anomalous Josephson effect in coherently coupled Josephson junctions
• Berry phase in superconducting multiterminal quantum dots
• Multiplet supercurrent in Josephson tunneling circuits
• Andreev processes in mesoscopic multi-terminal graphene Josephson junctions
• Tailoring supercurrent confinement in graphene bilayer weak links
• Multi-terminal Josephson junctions: a road to topological flux networks
• Scattering description of Andreev molecules
• Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
• Mesoscopic multiterminal Josephson structures: I. Effects of nonlocal weak coupling
• Inversion in a four terminal superconducting device on the quartet line: II. Quantum dot and Floquet theory
• Inversion in a four-terminal superconducting device on the quartet line: I. Two-dimensional metal and the quartet beam splitter
• Multi-Terminal Superconducting Phase Qubit
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Ultralong-distance quantum correlations in three-terminal Josephson junctions
• Spin-Weyl quantum unit: theoretical proposal
• Nonadiabatic Josephson current pumping by microwave irradiation
• Driven Andreev molecule
• Partially resummed perturbation theory for multiple Andreev reflections in a short three-terminal Josephson junction
• Edge effects in the magnetic interference pattern of a ballistic SNS junction
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• DC SQUID based on the mesoscopic multiterminal Josephson junction
• Weyl point immersed in a continuous spectrum: an example from superconducting nanostructures
• Coulomb blockade effects in anodised niobium nanostructures
• Energy distribution controlled ballistic Josephson junction
• Two-dimensional arrays of low capacitance tunnel junctions: general properties, phase transitions and Hall effect
• Long-range coupling between superconducting dots induced by periodic driving

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• Quantum circuits with multiterminal Josephson-Andreev junctions
• Evidence for $\pi$-shifted Cooper quartets and few-mode transport in PbTe nanowire three-terminal Josephson junctions
• Ballistic Andreev interferometers
• Revisiting the adiabatic limit in ballistic multiterminal Josephson junctions