Crossed Andreev effects in two-dimensional quantum Hall systems

Abstract

We study the crossed Andreev effects in two-dimensional conductor/superconductor hybrid systems under a perpendicular magnetic field. Both a graphene/superconductor hybrid system and an electron gas/superconductor one are considered. It is shown that an exclusive crossed Andreev reflection, with other Andreev reflections being completely suppressed, is obtained in a high magnetic field because of the chiral edge states in the quantum Hall regime. Importantly, the exclusive crossed Andreev reflection not only holds for a wide range of system parameters, e.g., the size of system, the width of central superconductor, and the quality of coupling between the graphene and the superconductor, but also is very robust against disorder. When the applied bias is within the superconductor gap, a robust Cooper-pair splitting process with high-efficiency can be realized in this system.

10 pages, 10 figures

References in corpus (44)

• The electronic properties of graphene
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
• Andreev reflection and Klein tunneling in graphene
• Origin of Spatial Charge Inhomogeneity in Graphene
• Specular Andreev reflection in graphene
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Splitting of a Cooper pair by a pair of Majorana bound states
• Andreev - Saint James reflections: a probe of cuprate superconductors
• 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
• Experimental observation of bias-dependent non-local Andreev reflection
• Bell inequalities and entanglement in solid state devices
• Probing Spatial Correlations with Nanoscale Two-Contact Tunneling
• Disorder-induced enhancement of transport through graphene p-n junctions
• Finite bias Cooper pair splitting
• Quantum entanglement in carbon nanotubes
• Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
• Crossed Andreev reflection in a graphene bipolar transistor
• Superconductor coupled to two Luttinger liquids as an entangler for electron spins
• Quantum transport through a graphene nanoribbon-superconductor junction
• Quantum Hall effect in graphene with superconducting electrodes
• Andreev Reflection in Strong Magnetic Fields
• Controllable Andreev retroreflection and specular Andreev reflection in a four-terminal graphene-superconductor hybrid system
• Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors
• Current and noise correlations in a double dot Cooper pair beam splitter
• Nonlocal Cooper pair Splitting in a pSn Junction
• Andreev reflection at high magnetic fields: Evidence for electron and hole transport in edge states
• Dynamical Coulomb blockade and spin-entangled electrons
• Proposal for an all-electrical measurement of crossed Andreev reflection in topological insulators
• Spin-resolved Andreev transport through double-quantum-dot Cooper pair splitters
• Crossed Andreev reflection and charge imbalance in diffusive NSN structures
• Self-consistent microscopic calculations for non-local transport through nanoscale superconductors
• Nonlocal transistor based on pure crossed Andreev reflection in a EuO-graphene/superconductor hybrid structure
• The parity of specular Andreev reflection under mirror operation in zigzag graphene ribbon
• Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene
• Conductance of a Semiconductor-Superconductor junction in high magnetic field
• The Effect of the Disorder on the Longitudinal Resistance of a Graphene p-n Junction in Quantum Hall Regime
• High-Efficiency Cooper-Pair Splitter in Quantum Anomalous Hall Insulator Proximity-Coupled with Superconductor
• Anomalous crossed Andreev reflection in mesoscopic superconducting ring hosting Majorana fermions
• Andreev magneto-interferometry in topological hybrid junctions

Cited by in corpus (27)

• Inducing Superconducting Correlation in Quantum Hall Edge States
• Proximity coupling in superconductor-graphene heterostructures
• Andreev reflection in the fractional quantum Hall state
• Perfect crossed Andreev reflection in Dirac hybrid junctions in the quantum Hall regime
• Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
• A Ballistic Graphene Cooper Pair Splitter
• Induced superconducting correlations in the quantum anomalous Hall insulator
• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
• Spin-valley polarized edge states and quantum anomalous Hall states controlled by side potential in 2D honeycomb lattices
• The influence of anti-chiral edge states on Andreev reflection in graphene-superconductor junction
• Nonlocal superconducting correlations in graphene in the quantum Hall regime
• Chiral Majorana fermion modes regulated by a scanning tunneling microscope tip
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Andreev reflection in ballistic normal metal/graphene/superconductor junctions
• Manipulation of Cooper pair entanglement in hybrid topological Josephson junctions
• Perfect crossed Andreev reflection in the proximitized graphene/superconductor/proximitized graphene junctions
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Nonequilibrium edge transport in quantum Hall based Josephson junctions
• Andreev reflection in a Y-shaped graphene-superconductor device
• SU(4) Symmetry Breaking and Induced Superconductivity in Graphene Quantum Hall Edges
• Andreev reflection in normal metal/charge-4e superconductor junctions
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction
• Long-range Cooper pair splitting by chiral Majorana edge states
• Quantifying proximity-induced superconductivity from first-principles calculations
• Nonlocal Correlation Mediated by Weyl Orbits