The multi-terminal Josephson effect

Abstract

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing, high-speed digital electronics, and quantum computing. The junction ranges from planar insulating oxides to single atoms, molecules, semiconductor nanowires, and generally to any finite-size coherent conductor. Recently, junctions of more than two superconducting terminals gained broad attention in the context of braiding of Majorana fermions in the solid state for fault-tolerant quantum computing, and accessing physics and topology in dimensions higher than three. Here we report the first observation of Josephson effect in 3- and 4-terminal junctions, fabricated in a top-down fashion from a semiconductor/superconductor (InAs/Al) epitaxial two-dimensional heterostructure. Due to interactions, the critical current of an N-terminal junction becomes the boundary of an (N-1)-dimensional manifold of simultaneously allowed supercurrents. The measured shapes of such manifolds are explained by the scattering theory of mesoscopic superconductivity, and they can be remarkably sensitive to the junction's symmetry class. Furthermore, we observed a notably high-order (up to 8) multiple Andreev reflections simultaneously across every terminals pair, which verifies the multi-terminal nature of normal scattering and a high interface quality in our devices. Given the previously shown gate-control of carrier density and evidence of spin-orbit scattering in InAs/Al heterostructures, and device compatibility with other 2D materials, the multi-terminal Josephson effect reported here can become a testbed for physics and applications of topological superconductivity.

Supplementary Material available upon request

References in corpus (68)

• Fault-tolerant quantum computation by anyons
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Milestones toward Majorana-based quantum computing
• Tunable Supercurrent Through Semiconductor Nanowires
• Phase preserving amplification near the quantum limit with a Josephson Ring Modulator
• AC JOSEPHSON EFFECT IN A SINGLE QUANTUM CHANNEL
• Evidence of topological superconductivity in planar Josephson junctions
• Quantum supercurrent transistors in carbon nanotubes
• Revealing the electronic structure of a carbon nanotube carrying a supercurrent
• Flux-controlled quantum computation with Majorana fermions
• Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
• Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
• Multi-terminal Josephson junctions as topological materials
• Phase controlled superconducting proximity effect probed by tunneling spectroscopy
• Possible realization of an ideal quantum computer in Josephson junction array
• Superconductivity in a single C60 transistor
• Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
• Selective Area Grown Semiconductor-Superconductor Hybrids: A Basis for Topological Networks
• The $\omega$-SQUIPT: phase-engineering of Josephson topological materials
• Topological transconductance quantization in a four-terminal Josephson junction
• Supercurrent Flow in Multi-Terminal Graphene Josephson Junctions
• Topological Andreev bands in three-terminal Josephson junctions
• Field effect enhancement in buffered quantum nanowire networks
• Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
• Singularities of Andreev spectrum in multi-terminal Josephson junction
• Non-trivial Chern numbers in three-terminal Josephson junctions
• Superconducting proximity effect in epitaxial Al-InAs heterostructures
• A geometric protocol for a robust Majorana magic gate
• Non-local Supercurrent of Quartets in a Three-Terminal Josephson Junction
• Shortcuts to nonabelian braiding
• Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
• 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
• In-plane selective area InSb-Al nanowire quantum networks
• Phase Control of Majorana Bound States in a Topological X Junction
• Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures
• Braiding Majorana zero modes using quantum dots
• Transport Properties of Near Surface InAs Two-dimensional Heterostructures
• Majorana-Weyl crossings in topological multi-terminal junctions
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• Voltage-induced Shapiro steps in a superconducting multi-terminal structure
• Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
• Electron transport in multiterminal networks of Majorana bound states
• Josephson effect in multiterminal topological junctions
• Photon assisted braiding of Majorana fermions in a cavity
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Effects of disorder on Coulomb-assisted braiding of Majorana zero modes
• Supercurrent carried by non-equlibrium quasiparticles in a multiterminal Josephson junction
• Mesoscopic multiterminal Josephson structures: I. Effects of nonlocal weak coupling
• Multiple Andreev reflections in hybrid multiterminal junctions
• Multi-Terminal Superconducting Phase Qubit
• Controlled-Z gate for transmon qubits coupled by semiconductor junctions
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Ballistic Four-Terminal Josephson Junction: Bistable States and Magnetic Flux Transfer
• Weyl discs: theoretical prediction
• DC SQUID based on the mesoscopic multiterminal Josephson junction
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• Topology protection-unprotection transition: an example from multi-terminal superconducting nanostructures

Cited by in corpus (77)

• Weyl Josephson Circuits
• Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems
• InSbAs two-dimensional electron gases as a platform for topological superconductivity
• Non-Reciprocal Supercurrents in a Field-Free Graphene Josephson Triode
• The Multi-terminal Inverse AC Josephson Effect
• Ground-state quantum geometry in superconductor-quantum dot chains
• Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
• Flux-Tunable Josephson Diode Effect in a Hybrid Four-Terminal Josephson Junction
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Enhanced topological superconductivity in spatially modulated planar Josephson junctions
• Transconductance quantization in a topological Josephson tunnel junction circuit
• Tuning supercurrent in Josephson field effect transistors using h-BN dielectric
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Engineering of anomalous Josephson effect in coherently coupled Josephson junctions
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Multiplet supercurrent in Josephson tunneling circuits
• Andreev processes in mesoscopic multi-terminal graphene Josephson junctions
• Cooper-pair transistor as a minimal topological quantum circuit
• Voltage-tunable superconducting resonators: a platform for random access quantum memory
• Progress in superconductor-semiconductor topological Josephson junctions
• Non-Abelian monopoles in the multiterminal Josephson effect
• Inversion in a four-terminal superconducting device on the quartet line: I. Two-dimensional metal and the quartet beam splitter
• Quantum circuits with multiterminal Josephson-Andreev junctions
• Non-Hermitian multiterminal phase-biased Josephson junctions
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Magnetic-field-free nonreciprocal transport in graphene multi-terminal Josephson junctions
• Ultralong-distance quantum correlations in three-terminal Josephson junctions
• Conductance quantization in topological Josephson trijunctions
• Spin-Weyl quantum unit: theoretical proposal
• Evidence for $\pi$-shifted Cooper quartets and few-mode transport in PbTe nanowire three-terminal Josephson junctions
• Spin-degeneracy breaking and parity transitions in three-terminal Josephson junctions
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Theory of universal diode effect in three-terminal Josephson junctions
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Frustration driven Josephson phase dynamics
• Nonreciprocal Josephson linear response
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
• Weyl point immersed in a continuous spectrum: an example from superconducting nanostructures
• Ground state topology of a four-terminal superconducting double quantum dot
• Cooper quartets in interacting hybrid superconducting systems
• Flux-tunable Josephson Effect in a Four-Terminal Junction
• Quartet Tomography in Multiterminal Josephson Junctions
• Parametric amplification of topological interface states in synthetic Andreev bands
• Spintronics with a Weyl point in superconducting nanostructures
• Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit
• Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
• Energy distribution controlled ballistic Josephson junction
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• Josephson Diode Effect from Nonequilibrium Current in a Superconducting Interferometer
• Probing the topological band structure of diffusive multiterminal Josephson junction devices with conductance measurements
• Challenges in detecting topological superconducting transitions via supercurrent and phase probes in planar Josephson junctions
• Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
• Magnetointerferometry of multiterminal Josephson junctions
• Self-heating effects and switching dynamics in graphene multiterminal Josephson junctions
• Four-terminal Josephson junctions: diode effects, anomalous currents and transverse currents
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Field-Programmable Topological Array: Framework and Case-Studies
• Ballistic Andreev interferometers
• Full tomography of topological Andreev bands in graphene Josephson junctions
• Josephson effect in superconductor-normal dot-superconductor junctions driven out of equilibrium by quasiparticle injection
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Nonequilibrium Andreev resonances in ballistic graphene Andreev interferometers
• Frustrated Frustration of Arrays with Four-Terminal Nb-Pt-Nb Josephson Junctions
• Josephson tunnel junction arrays and Andreev weak links: linked by a single energy-phase relation
• Artificial topological insulator realized in a two-terminal Josephson junction with Rashba spin-orbit interaction
• Fabrication Optimization of Suspended Stencil Mask Lithography for Multi-Terminal Josephson Junctions
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Enhancement of the topological regime in elongated Josephson junctions
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Phase dynamics in an AC driven multiterminal Josephson junction analogue
• Supercurrent tuning of the Josephson coupling energy
• Multiterminal Josephson junctions with tunable topological properties
• Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures
• Phase locking and noise driven dynamics in a Josephson junction electronic analog
• Revisiting the adiabatic limit in ballistic multiterminal Josephson junctions