Perfect crossed Andreev reflection in Dirac hybrid junctions in the quantum Hall regime
arXiv:1902.00413 · doi:10.1103/PhysRevLett.122.257701
Abstract
Perfect crossed Andreev reflection (CAR) is striking for high-efficiency Cooper pair splitting which bears promising applications in quantum communication. Recent experimental advances have disclosed the way to explore CAR in Dirac fermion systems under ultra-strong magnetic fields. We develop a scattering approach to study quantum Hall-superconductor-quantum Hall (QH-S-QH) junctions formed by a two-dimensional (2D) time-reversal symmetric Dirac semimetal. We propose two different setups of the hybrid junction in the quantum limit where only zeroth Landau levels are involved in transport to exploit perfect CAR. In both setups, the CAR probability can reach unity without applying bias voltage and is controllable by the magnetic field strength, junction width, length and doping of the superconductor. CAR dominates the nonlocal transport and is directly measurable by the differential conductances. We also identify a quantized spin injection per CAR event in one of the two setups. Our proposal is experimentally feasible and will be helpful for exploring high-efficiency Cooper pair splitting and spin injection in Dirac materials.
7+4 pages, 4+4 Figures; accepted version for PRL; a few typos are corrected in the Supplemental Material
References in corpus (20)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
- Single valley Dirac fermions in zero-gap HgTe quantum wells
- Proximity effect at the superconductor - topological insulator interface
- Near-unity Cooper pair splitting efficiency
- Tuning phase transition between quantum spin Hall and ordinary insulating phases
- Crossed Andreev reflection in a graphene bipolar transistor
- Cooper Pair Splitting by means of Graphene Quantum Dots
- Quantum Hall effect in graphene with superconducting electrodes
- Induced superconductivity in the three-dimensional topological insulator HgTe
- Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
- Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
- Crossed Andreev effects in two-dimensional quantum Hall systems
- Inter-Landau-level Andreev Reflection at the Dirac Point in a Graphene Quantum Hall State Coupled to a NbSe2 Superconductor
- Robustness of Quantum Spin Hall Effect in an External Magnetic Field
- Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
- Spin-filtered and Spatially Distinguishable Crossed Andreev Reflection in a Silicene-Superconductor Junction
- Nonlocal superconducting correlations in graphene in the quantum Hall regime
- Topological -junctions from crossed Andreev reflection in the Quantum Hall regime
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- Andreev reflection in ballistic normal metal/graphene/superconductor junctions
- Crossed Andreev reflection in collinear -wave magnet/triplet superconductor junctions
- Perfect crossed Andreev reflection in the proximitized graphene/superconductor/proximitized graphene junctions
- Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
- Crossed Andreev reflection in topological insulator nanowire T-junctions
- Thermoelectric processes of quantum normal-superconductor interfaces
- SU(4) Symmetry Breaking and Induced Superconductivity in Graphene Quantum Hall Edges
- Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
- Non-local transport measurements in hybrid quantum Hall - superconducting devices
- Heat-charge separation in a hybrid superconducting quantum Hall setup
- Field-Programmable Topological Array: Framework and Case-Studies
- Engineering superconducting contacts transparent to a bipolar graphene
- Wigner representation of Andreev-reflected charge pulses
- On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
- Floquet-Nambu theory of electron quantum optics with superconductors
- Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
- Super-resonant transport of topological surface states subjected to in-plane magnetic fields