Proximity-induced Josephson $\pi$-Junctions in Topological Insulators

Abstract

We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin impurities. Here, we require that spin-flip tunneling dominates over spin-conserving one. In the second model the tunnel coupling is realized by an array of single-level quantum dots with randomly oriented spins. It is shown that the tunnel region forms a $\pi$-junction where the effective order parameter changes sign. Interestingly, due to the random spin orientation the effective descriptions of both models exhibit time-reversal symmetry. We then discuss how the proposed $\pi$-junctions support topological superconductivity without magnetic fields and can be used to generate and manipulate Kramers pairs of Majorana fermions by gates.

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Cited by in corpus (74)

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• Fractional Topological Superconductivity and Parafermion Corner States
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• Helical Liquids in Semiconductors
• Nonsinusoidal current-phase relations in semiconductor-superconductor-ferromagnetic insulator devices
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• Low-field Topological Threshold in Majorana Double Nanowires
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• A topological Josephson junction platform for creating, manipulating, and braiding Majorana bound states
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• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Detecting Topological Superconductivity with ${\phi }_0$ Josephson Junctions
• Quantum Computing with Majorana Kramers Pairs
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• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Supercurrent reversal in ferromagnetic hybrid nanowire Josephson junctions
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• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Chiral Majorana fermion modes regulated by a scanning tunneling microscope tip
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• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Boundary Topological Superconductors
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• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
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• Majorana Kramers pair in a nematic vortex
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
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• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Impurity states in altermagnetic superconductors
• Ferroelectric topological superconductor
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators
• Majorana fermions in topological insulator nanowires: from single superconducting nanowires to Josephson junctions
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Waiting time distributions in Quantum spin hall based heterostructures
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Topological Kondo effect with spinful Majorana fermions
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Tuning Majorana zero modes with temperature in $\pi$-phase Josephson junctions
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator
• Anomalous flux periodicity in proximitised quantum spin Hall constrictions
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Percolative supercurrent in superconductor-ferromagnetic insulator bilayers
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