Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges

Abstract

Two-terminal conductance spectroscopy of superconducting devices is a common tool for probing Andreev and Majorana bound states. Here, we study theoretically a three-terminal setup, with two normal leads coupled to a grounded superconducting terminal. Using a single-electron scattering matrix, we derive the subgap conductance matrix for the normal leads and discuss its symmetries. In particular, we show that the local and the nonlocal elements of the conductance matrix have pairwise identical antisymmetric components. Moreover, we find that the nonlocal elements are directly related to the local BCS charges of the bound states close to the normal probes and we show how the BCS charge of overlapping Majorana bound states can be extracted from experiments.

arXiv comment7 pages

References in corpus (43)

• 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
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Majorana Fermion Induced Resonant Andreev Reflection
• Quantized Majorana conductance
• Tunneling characteristic of a chain of Majorana bound states
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Quantum Effects in Coulomb Blockade
• Scaling of Majorana Zero-Bias Conductance Peaks
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
• Probing Entanglement and Non-locality of Electrons in a Double-Dot via Transport and Noise
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Reproducing topological properties with quasi-Majorana states
• Measuring Majorana non-locality and spin structure with a quantum dot
• Parity lifetime of bound states in a proximitized semiconductor nanowire
• Near-unity Cooper pair splitting efficiency
• Scheme to measure Majorana fermion lifetimes using a quantum dot
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Transport signatures of quasiparticle poisoning in a Majorana island
• Selective Area Grown Semiconductor-Superconductor Hybrids: A Basis for Topological Networks
• Conductance-matrix symmetries of a three-terminal hybrid device
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• An experimentally accessible quality factor for Majorana wires
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Effective g-factor in Majorana Wires
• Andreev bound states probed in three-terminal quantum dots
• Detecting Majoranas in 1D wires by charge sensing
• Parity transitions in the superconducting ground state of hybrid InSb-Al Coulomb islands
• Conductance of a superconducting Coulomb blockaded Majorana nanowire
• Probing electron-hole components of subgap states in Coulomb blockaded Majorana islands
• Electrical detection of topological quantum phase transitions in disordered Majorana nanowires
• Phase-tunable Majorana bound states in a topological N-SNS junction
• Novel non-local effects in three-terminal hybrid devices with quantum dot

Cited by in corpus (73)

• Realization of a minimal Kitaev chain in coupled quantum dots
• Majorana nanowires for topological quantum computation
• Conductance-matrix symmetries of a three-terminal hybrid device
• 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
• Weak measurement protocols for Majorana bound state identification
• Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
• Triplet correlations in Cooper pair splitters realized in a two-dimensional electron gas
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• Parity protected superconducting diode effect in topological Josephson junctions
• Trivial Andreev band mimicking topological bulk gap reopening in the non-local conductance of long Rashba nanowires
• Probing Majorana localization in minimal Kitaev chains through a quantum dot
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum
• Local and Nonlocal Transport Spectroscopy in Planar Josephson Junctions
• Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• 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
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Control of Andreev bound states using superconducting phase texture
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Near zero-energy Caroli-de Gennes-Matricon vortex states in the presence of impurities
• Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
• Readout of parafermionic states by transport measurements
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Charge-neutral nonlocal response in superconductor-InAs nanowire hybrid devices
• Nonlocal measurement of quasiparticle charge and energy relaxation in proximitized semiconductor nanowires using quantum dots
• Charge sensing the parity of an Andreev molecule
• Topological Andreev Rectification
• Aharonov-Bohm interference as a probe of Majorana fermions
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Spin-filtered measurements of Andreev bound states
• Spin-resolved spectroscopy using a quantum dot defined in InAs 2DEG
• Majorana correlations in quantum impurities coupled to a topological wire
• Probing electron-hole weights of an Andreev bound state by transient currents
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Master equation approach for transport through Majorana zero modes
• Nonlocality of local Andreev conductances as a probe for topological Majorana wires
• Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
• Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
• Identifying Majorana vortex modes via non-local transport
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Topological phase transition driven by magnetic field in one-dimensional topological superconductor rings
• Topological gap protocol based machine learning optimization of Majorana hybrid wires
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Quantum transport theory of hybrid superconducting systems
• Spin-resolved spectroscopy of helical Andreev bound states
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
• Characterizing local Majorana properties using Andreev states
• Multi-locational Majorana Zero Modes
• Cross correlation mediated by distant Majorana zero modes with no overlap
• Phase-Biased Andreev Diffraction Grating
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• Confinement-induced zero-bias peaks in conventional superconductor hybrids
• Quantifying robustness and locality of Majorana bound states in interacting systems
• Cross-correlation mediated by Majorana island with finite charging energy
• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices
• Proximity-induced superconductivity generated by thin films: Effects of Fermi surface mismatch and disorder in the superconductor
• Directional conductance of Andreev crystals in hybrid Josephson junction arrays
• Absence of Quasi-Majorana False Positives in Full-Shell Hybrid Nanowires
• Majorana Conductances in Three-Terminal Transports
• Creating and detecting poor man's Majorana bound states in interacting quantum dots
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography