Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions

Abstract

An odd-occupied quantum dot in a Josephson junction can flip transmission phase, creating a π-junction. When the junction couples topological superconductors, no phase flip is expected. We investigate this and related effects in a full-shell hybrid interferometer, using gate voltage to control dot-junction parity and axial magnetic flux to control the transition from trivial to topological superconductivity. Enhanced zero-bias conductance and critical current for odd parity in the topological phase reflects hybridization of the confined spin with zero-energy modes in the leads.

References in corpus (45)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Milestones toward Majorana-based quantum computing
• Epitaxy of Semiconductor-Superconductor nanowires
• Supercurrent reversal in quantum dots
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• A Quantum Dot in the Kondo Regime Coupled to Superconductors
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Josephson and Andreev transport through quantum dots
• Majorana bound states from exceptional points in non-topological superconductors
• Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior
• Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Topological superconductivity in full shell proximitized nanowires
• Flux-induced topological superconductivity in full-shell nanowires
• Flux-induced Majorana modes in full-shell nanowires
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Tunneling Spectroscopy of Quasiparticle Bound States in a Spinful Josephson Junction
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Josephson current through a single Anderson impurity coupled to BCS leads
• Even-odd effect in Andreev Transport through a Carbon Nanotube Quantum Dot
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Kondo-Enhanced Andreev Tunneling in InAs Nanowire Quantum Dots
• Tuning the Josephson current in carbon nanotubes with the Kondo effect
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Current-phase relations of few-mode InAs nanowire Josephson junctions
• Kondo Universal Scaling for a Quantum Dot Coupled to Superconducting Leads
• The Anderson-Josephson quantum dot -- A theory perspective
• pi-Junction behavior and Andreev bound states in Kondo quantum dots with superconducting leads
• Interplay between Kondo and Majorana interactions in quantum dots
• Kondo resonance enhanced supercurrent in single wall carbon nanotube Josephson junctions
• Josephson Coupling through a Quantum Dot
• 0-$\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
• Electrical control of Kondo effect and superconducting transport in a side-gated InAs quantum dot Josephson junction
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Detecting Topological Superconductivity with ${\phi }_0$ Josephson Junctions
• Practical Guide to Quantum Phase Transitions in Quantum-Dot-Based Tunable Josephson Junctions
• Optimizing the Majorana character of SQUIDs with topologically non-trivial barriers
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Supercurrent through a spin-split quasi-ballistic point contact in an InAs nanowire

Cited by in corpus (38)

• Theory of Majorana zero modes in unconventional superconductors
• Enhancing the Josephson diode effect with Majorana bound states
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• Nonsinusoidal current-phase relations in semiconductor-superconductor-ferromagnetic insulator devices
• Supercurrent reversal in ferromagnetic hybrid nanowire Josephson junctions
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• Non-Hermitian phase-biased Josephson junctions
• Asymmetric Little-Parks Oscillations in Full Shell Double Nanowires
• Zeeman-driven parity transitions in an Andreev quantum dot
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Detecting Majorana modes by readout of poisoning-induced parity flips
• Supercurrent parity-meter in a nanowire Cooper-pair transistor
• Tomography of zero-energy end modes in topological superconducting wires
• Intermediate states in Andreev bound state fusion
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
• Supercurrent transport through 1$e$-periodic full-shell Coulomb islands
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Subgap transport in superconductor--semiconductor hybrid islands: Weak and strong coupling regimes
• Flip-chip-based fast inductive parity readout of a planar superconducting island
• Transport theory for topological Josephson junctions with a Majorana qubit
• Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Caroli-de Gennes-Matricon Analogs in Full-Shell Hybrid Nanowires
• Honing in on a topological zero-bias conductance peak
• Modified interferometer to measure anyonic braiding statistics
• Negative critical currents in single-channel Josephson junctions
• Helical and topological phase detection based on nonlocal conductance measurements in a three terminal junction
• DC Josephson effect between two Yu-Shiba-Rusinov bound states
• Majorana coupling and Kondo screening of localized spins
• Controlling superconducting transistor by coherent light
• Confinement-induced zero-bias peaks in conventional superconductor hybrids
• The Josephson effect in Fibonacci superconductors
• Continuous unitary transformation approach to the Kondo-Majorana interplay
• Microwave susceptibility observation of interacting many-body Andreev states