Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs

Abstract

We study a time-reversal-invariant topological superconductor island hosting spatially separated Majorana Kramers pairs, with weak tunnel couplings to two s-wave superconducting leads. When the topological superconductor island is in the Coulomb blockade regime, we predict that a Josephson current flows between the two leads due to a non-local transfer of Cooper pairs mediated by the Majorana Kramers pairs. Interestingly, we find that the sign of the Josephson current is controlled by the joint parity of all four Majorana bound states on the island. Consequently, this parity-controlled Josephson effect can be used for qubit read-out in Majorana-based quantum computing.

References in corpus (55)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Search for Majorana fermions in superconductors
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana Fermion Induced Resonant Andreev Reflection
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Majorana fermions in chains of magnetic atoms on a superconductor
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Topological superconducting phase in helical Shiba chains
• Supercurrent reversal in quantum dots
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Majorana box qubits
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Inducing time reversal invariant topological superconductivity and fermion parity pumping in quantum wires
• Majorana Kramers Doublets in $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Towards realistic implementations of a Majorana surface code
• Roadmap to Majorana surface codes
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Majorana Fermion Surface Code for Universal Quantum Computation
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires
• Majorana bound states in two-channel time-reversal-symmetric nanowire systems
• Majorana Fermion Codes
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Magnetic Field Response and Chiral Symmetry of Time Reversal Invariant Topological Superconductors
• Time-reversal anomaly and Josephson effect in time-reversal invariant topological superconductors
• Detection of Majorana Kramers pairs using a quantum point contact
• Low-field Topological Threshold in Majorana Double Nanowires
• Physical Implementation of a Majorana Fermion Surface Code for Fault-Tolerant Quantum Computation
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Topological Majorana Two-Channel Kondo Effect
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Tuning Majorana zero modes with temperature in $\pi$-phase Josephson junctions
• Time-reversal-invariant spin-orbit-coupled bilayer Bose-Einstein Condensates

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• Majorana corner modes in a high-temperature platform
• Majorana Kramers pairs in higher-order topological insulators
• Majorana nanowires for topological quantum computation
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Weak measurement protocols for Majorana bound state identification
• Majorana Superconducting Qubit
• Helical Liquids in Semiconductors
• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Quantum Computing with Majorana Kramers Pairs
• Supercurrent reversal in ferromagnetic hybrid nanowire Josephson junctions
• Entangling transmons with low-frequency protected superconducting qubits
• Finite length effect on supercurrents between trivial and topological superconductors
• Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Tomography of zero-energy end modes in topological superconducting wires
• The influence of the Majorana non-locality on the supercurrent
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Impact of junction length on supercurrent resilience against magnetic field in InSb-Al nanowire Josephson junctions
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Topological Kondo effect with spinful Majorana fermions
• Transport theory for topological Josephson junctions with a Majorana qubit
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Physics of the Majorana-superconducting qubit hybrids
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Protected hybrid superconducting qubit in an array of gate-tunable Josephson interferometers
• Electronic transport in double-nanowire superconducting islands with multiple terminals