Cooper-Pair Injection into Quantum Spin Hall Insulators

Abstract

We theoretically study tunneling of Cooper pairs from a superconductor spanning a two-dimensional topological insulator strip into its helical edge states. The coherent low-energy electron-pair tunneling sets off positive current cross correlations along the edges, which reflect an interplay of two quantumentanglement processes. Most importantly, superconducting spin pairing dictates a Cooper pair partitioning into the helical edge liquids, which transport electrons in opposite directions for opposite spin orientations. At the same time, Luttinger-liquid correlations fractionalize electrons injected at a given edge into counterpropagating charge pulses carrying definite fractions of the elementary electron charge.

5 pages and 1 figure

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Cited by in corpus (35)

• Topological insulators and superconductors
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Majorana Kramers pairs in higher-order topological insulators
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Carbon nanotubes in electric and magnetic fields
• Helical modes in carbon nanotubes generated by strong electric fields
• Fractional Charge and Spin States in Topological Insulator Constrictions
• Proposal for an all-electrical measurement of crossed Andreev reflection in topological insulators
• Emission of time-bin entangled particles into helical edge states
• Signatures of Rashba spin-orbit interaction in the superconducting proximity effect in helical Luttinger liquids
• Signatures of nonlocal Cooper-pair transport and of a singlet-triplet transition in the critical current of a double-quantum-dot Josephson junction
• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
• Low-energy properties of fractional helical Luttinger liquids
• Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene
• Controllable spin entanglement production in a quantum spin Hall ring
• Manipulation of Cooper pair entanglement in hybrid topological Josephson junctions
• Superconducting Quantum Interference in Edge State Josephson Junctions
• Crossed Andreev Re ection in Quantum Wires with Strong Spin-Orbit Interaction
• $\pi$ Spin Berry Phase in a Quantum-Spin-Hall-Insulator-Based Interferometer: Evidence for the Helical Spin Texture of the Edge States
• Conductance of fractional Luttinger liquids at finite temperatures
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Detection of Nonlocal Spin Entanglement by Light Emission from a Superconducting p-n Junction
• Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids
• Parity dependent Josephson current through a helical Luttinger liquid
• Magnetic-field switchable metal-insulator transitions in a quasi-helical conductor
• Finite-temperature conductance of strongly interacting quantum wire with a nuclear spin order
• Nonlocal Andreev reflection, fractional charge and current-phase relation in topological bilayer exciton condensate junctions
• Emission of entangled Kramers pairs from a helical mesoscopic capacitor
• Long-range crossed Andreev reflection in topological insulator nanowires proximitized by a superconductor
• Voltage-tunable Majorana bound states in time-reversal symmetric bilayer quantum spin Hall hybrid systems
• Detection of entanglement by helical Luttinger liquids
• Electron-Hole Entanglement in a Quantum Spin Hall Insulator
• Effects of the Spatial Extension of the Edge Channels on the Interference Pattern of a Helical Josephson Junction
• Hanbury Brown and Twiss Correlations of Cooper Pairs in Helical Liquids
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions