Perfect crossed Andreev reflection in the proximitized graphene/superconductor/proximitized graphene junctions

Abstract

We study the crossed Andreev reflection and the nonlocal transport in the proximitized graphene/supercondcutor/proximitized graphene junctions with the pseudospin staggered potential and the intrinsic spin-orbit coupling. The crossed Andreev reflection with the local Andreev reflection and the elastic cotunneling being completely eliminated can be realized for the electrons with the specific spin-valley index when the intrinsic spin-orbit couplings in the left graphene and the right graphene possess the opposite sign. The perfect crossed Andreev reflection with its probability equal to $100\%$ can be obtained in the space consisting of the incident angle and the energy of the electrons. The crossed conductance and its oscillation with the superconductor length are also investigated. The energy ranges for the crossed Andreev reflection without the local Andreev reflection and the elastic cotunneling are clarified for the different magnitudes of the pseudospin potential and the spin-orbit coupling. The spin-valley index of the electrons responsible for the perfect crossed Andreev reflection can be switched by changing the sign of the intrinsic spin-orbit coupling or exchanging the biases applied on the left graphene and the right graphene. Our results are helpful for designing the flexible and high-efficiency Cooper pair splitter based on the spin-valley degree of freedom.

9 pages,4 figures

References in corpus (19)

• Specular Andreev reflection in graphene
• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Tunable spin-orbit coupling and symmetry-protected edge states in graphene/WS${}_2$
• Non-Local Correlations in Normal Metal-Superconducting Systems
• Crossed Andreev reflection in a graphene bipolar transistor
• Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling
• Singlet and triplet Cooper pair splitting in hybrid superconducting nanowires
• Cooper Pair Splitting by means of Graphene Quantum Dots
• Sign of the crossed conductances at a FSF double interface
• Detecting entangled states in graphene via crossed Andreev reflection
• Spin Cross-Correlation Experiments in an Electron Entangler
• Crossed Andreev effects in two-dimensional quantum Hall systems
• Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
• Proximity effects in graphene on monolayers of transition-metal phosphorus trichalcogenides MPX${}_3$
• Graphene on two-dimensional hexagonal BN, AlN, and GaN: Electronic, spin-orbit, and spin relaxation properties
• Crossed Andreev reflection at ferromagnetic domain walls
• Electrically controlled crossed Andreev reflection in two-dimensional antiferromagnets
• Quantized conductance with non-zero shot noise as a signature of Andreev edge state
• Spin-valley dependent double Andreev reflections in the proximitized graphene/superconductor junction

Cited by in corpus (4)

• Crossed Andreev reflection in altermagnets
• Crossed Andreev reflection in collinear $p$-wave magnet/triplet superconductor junctions
• Disorder-dependent superconducting pairing symmetry in doped graphene
• Coupled spin and valley Hall effects driven by coherent tunneling