Long-range Cooper pair splitting by chiral Majorana edge states

Abstract

We analyze the transport properties of a Cooper pair splitter device composed of two-point electrodes in contact with a ferromagnetic/superconductor (F/S) junction constructed on the surface of a topological insulator (TI). For the pair potential in the S region, we consider s- and d-wave symmetries, while for the F region, we focus on a magnetization vector normal to the TI surface. Non-local transport along the F/S interface is mediated by chiral Majorana edge states, with chirality controlled by the polarization of the magnetization vector. We demonstrate that crossed Andreev reflections slowly decays with the separation of the electrodes in standard clean samples. Our system exhibits a maximum Cooper pair-splitting efficiency of 80% for a symmetrical voltage configuration, even in high-temperature superconductor devices.

References in corpus (72)

• Topological Insulators
• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Topological superconductors: a review
• Majorana Zero Modes and Topological Quantum Computation
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• 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
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Electronic Entanglement in the Vicinity of a Superconductor
• Andreev bound states in high-$T_c$ superconducting junctions
• Experimental observation of bias-dependent non-local Andreev reflection
• Bell inequalities and entanglement in solid state devices
• Correlated tunneling into a superconductor in a multiprobe hybrid structure
• Proximity effect at the superconductor - topological insulator interface
• Probing Spatial Correlations with Nanoscale Two-Contact Tunneling
• Near-unity Cooper pair splitting efficiency
• Topological surface states in nodal superconductors
• Proximity-induced high-temperature superconductivity in topological insulators Bi2Se3 and Bi2Te3
• On edge states in superconductor with time inversion symmetry breaking
• Quantum entanglement in carbon nanotubes
• Non-Local Correlations in Normal Metal-Superconducting Systems
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Reversing non-local transport through a superconductor by electromagnetic excitations
• Sign of the crossed conductances at a FSF double interface
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Andreev scattering and cotunneling between two superconductor-normal metal interfaces : the dirty limit
• Dynamical Coulomb blockade and spin-entangled electrons
• Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
• Nonlocal Andreev reflection at high transmissions
• Crossed Andreev Reflection in Structures Consisting of a Superconductor with Ferromagnetic Leads
• Entangled electron current through finite size normal-superconductor tunneling structures
• Detecting entangled states in graphene via crossed Andreev reflection
• Proximity-Induced Superconductivity in Epitaxial Topological Insulator/Graphene/Gallium Heterostructures
• Microscopic theory of Cooper pair beam splitters based on carbon nanotubes
• Crossed Andreev reflection in diffusive contacts
• Crossed Andreev reflection at spin-active interfaces
• Crossed Andreev effects in two-dimensional quantum Hall systems
• Proximity-effect-induced Superconducting Gap in Topological Surface States - A Point Contact Spectroscopy Study of NbSe2/Bi2Se3 Superconductor-Topological Insulator Heterostructures
• Spin and Charge Structure of the Surface States in Topological Insulators
• Subradiant split Cooper pairs
• Crossed Andreev reflection and charge imbalance in diffusive NSN structures
• Dirac Green's function approach to graphene-superconductor junctions with well defined edges
• Crossed Andreev reflection at ferromagnetic domain walls
• Electrically controlled crossed Andreev reflection in two-dimensional antiferromagnets
• Proximity-induced superconductivity in (Bi${}_{1-x}$Sb${}_x$)${}_2$Te${}_3$ topological-insulator nanowires
• Signature of proximity induced triplet superconductivity in junctions made of the doped topological insulator $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{e}}_3$ and the s-wave superconductor NbN
• Interplay between direct and crossed Andreev reflections in hybrid nano-structures
• Proximity induced interface bound states in superconductor-graphene junctions
• Selective focusing of electrons and holes in a graphene-based superconducting lens
• Enhancement of crossed Andreev reflection in normal-superconductor-normal junction of thin topological insulator
• Nonlocal superconducting correlations in graphene in the quantum Hall regime
• Novel non-local effects in three-terminal hybrid devices with quantum dot
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• High-Efficiency Cooper-Pair Splitter in Quantum Anomalous Hall Insulator Proximity-Coupled with Superconductor
• Cross-correlated shot noise in three-terminal superconducting hybrid nanostructures
• Long range crossed Andreev reflections in high Tc superconductors
• Splitting efficiency and interference effects in a Cooper pair splitter based on a triple quantum dot with ferromagnetic contacts
• Crossed Andreev reflection versus electron transfer in graphene nanoribbons
• Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Transport properties of ferromagnet/d-wave superconductor/ferromagnet double junctions
• Noise cross-correlation and Cooper pair splitting efficiency in multi-teminal superconductor junctions
• A Review of Electronic Transport in Superconducting Sr${}_2$RuO${}_4$ Junctions
• Quantum interference due to crossed Andreev reflection in a d-wave superconductor with two nano-contacts
• A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions