Conductance-matrix symmetries of a three-terminal hybrid device

Abstract

We present conductance-matrix measurements of a three-terminal superconductor-semiconductor hybrid device consisting of two normal leads and one superconducting lead. Using a symmetry decomposition of the conductance, we find that the antisymmetric components of pairs of local and nonlocal conductances match at energies below the superconducting gap, consistent with expectations based on a non-interacting scattering matrix approach. Further, the local charge character of Andreev bound states is extracted from the symmetry-decomposed conductance data and is found to be similar at both ends of the device and tunable with gate voltage. Finally, we measure the conductance matrix as a function of magnetic field and identify correlated splittings in low-energy features, demonstrating how conductance-matrix measurements can complement traditional tunneling-probe measurements in the search for Majorana zero modes.

arXiv comment6 + 2 pages, 4 + 2 figures

References in corpus (42)

• 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
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Quantized Majorana conductance
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Hard gap in epitaxial semiconductor-superconductor nanowires
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Ballistic Majorana nanowire devices
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Reproducing topological properties with quasi-Majorana states
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Finite bias Cooper pair splitting
• Magnetic-field asymmetry of nonlinear mesoscopic transport
• Symmetry of two terminal, non-linear electric conduction
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• 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
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Field effect enhancement in buffered quantum nanowire networks
• Topological Andreev bands in three-terminal Josephson junctions
• Non-local spectroscopy of Andreev bound states
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic systems
• Role of dissipation in realistic Majorana nanowires
• Andreev bound states probed in three-terminal quantum dots
• Non-trivial Chern numbers in three-terminal Josephson junctions
• Selective-area chemical beam epitaxy of in-plane InAs one-dimensional channels grown on InP(001), InP(111)B, and InP(110) surfaces
• Zero-energy pinning from interactions in Majorana nanowires
• Asymmetry of Nonlinear Transport and Electron Interactions in Quantum Dots
• End-to-end correlated subgap states in hybrid nanowires
• Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states
• Non-locality of zero-bias anomalies in the topologically-trivial phase of Majorana wires
• Probing electron-hole components of subgap states in Coulomb blockaded Majorana islands
• Electrical detection of topological quantum phase transitions in disordered Majorana nanowires

Cited by in corpus (72)

• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Realization of a minimal Kitaev chain in coupled quantum dots
• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Majorana nanowires for topological quantum computation
• Estimating disorder and its adverse effects in semiconductor Majorana nanowires
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Controlled crossed Andreev reflection and elastic co-tunneling mediated by Andreev bound states
• Quantized and unquantized zero-bias tunneling conductance peaks in Majorana nanowires: Conductance below and above $2e^2/h$
• Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Local and Nonlocal Transport Spectroscopy in Planar Josephson Junctions
• Numerical study of PbTe-Pb hybrid nanowires for engineering Majorana zero modes
• Disorder effects on Majorana zero modes: Kitaev chain versus semiconductor nanowire
• Nonlocal conductance spectroscopy of Andreev bound states in gate-defined InAs/Al nanowires
• Electrostatic control of the proximity effect in the bulk of semiconductor-superconductor hybrids
• Protocol to identify a topological superconducting phase in a three-terminal device
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Control of Andreev bound states using superconducting phase texture
• Crossover between trivial zero modes in Majorana nanowires
• Rapid microwave-only characterization and readout of quantum dots using multiplexed gigahertz-frequency resonators
• Parametric exploration of zero-energy modes in three-terminal InSb-Al nanowire devices
• Fusion rules in a Majorana single-charge transistor
• Near zero-energy Caroli-de Gennes-Matricon vortex states in the presence of impurities
• Quality factor for zero-bias conductance peaks in Majorana nanowire
• Theory of Coulomb blockaded transport in realistic Majorana nanowires
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Charge-neutral nonlocal response in superconductor-InAs nanowire hybrid devices
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Nonlocal measurement of quasiparticle charge and energy relaxation in proximitized semiconductor nanowires using quantum dots
• Heat-mode excitation in a proximity superconductor
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• Charge sensing the parity of an Andreev molecule
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Topological Andreev Rectification
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Spin-filtered measurements of Andreev bound states
• Random matrix theory for the robustness, quantization, and end-to-end correlation of zero-bias conductance peaks in a class D ensemble
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Probing electron-hole weights of an Andreev bound state by transient currents
• Germanium-based hybrid semiconductor-superconductor topological quantum computing platforms: Disorder effects
• Master equation approach for transport through Majorana zero modes
• Quantum Hall Bogoliubov Interferometer
• Identifying Majorana vortex modes via non-local transport
• Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
• Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Subgap transport in superconductor--semiconductor hybrid islands: Weak and strong coupling regimes
• Thermal conductance and non-equilibrium superconductivity in a diffusive NSN wire probed by shot noise
• Fate of the superconducting state in floating islands of hybrid nanowire devices
• Quantum transport theory of hybrid superconducting systems
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Self-consistent quasi-particle $GW$ and hybrid functional calculations for Al/InAs/Al heterojunctions: band offset and spin-orbit coupling effects
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Spin-helical detection in a semiconductor quantum device with ferromagnetic contacts
• Characterizing local Majorana properties using Andreev states
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
• A hierarchy in Majorana non-abelian tests and hidden variable models
• Cross correlation mediated by distant Majorana zero modes with no overlap
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography
• Majorana Conductances in Three-Terminal Transports
• Nonlocal signatures of hybridization between quantum dot and Andreev bound states
• Cross-correlation mediated by Majorana island with finite charging energy
• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices