Proximity coupling in superconductor-graphene heterostructures

Abstract

This review discusses the electronic properties and the prospective research directions of superconductor-graphene heterostructures. The basic electronic properties of graphene are introduced to highlight the unique possibility of combining two seemingly unrelated physics, superconductivity and relativity. We then focus on graphene-based Josephson junctions, one of the most versatile superconducting quantum devices. The various theoretical methods that have been developed to describe graphene Josephson junctions are examined, together with their advantages and limitations, followed by a discussion on the advances in device fabrication and the relevant length scales. The phase-sensitive properties and phase-particle dynamics of graphene Josephson junctions are examined to provide an understanding of the underlying mechanisms of Josephson coupling via graphene. Thereafter, microscopic transport of correlated quasiparticles produced by Andreev reflections at superconducting interfaces and their phase-coherent behaviors are discussed. Quantum phase transitions studied with graphene as an electrostatically tunable two-dimensional platform are reviewed. The interplay between proximity-induced superconductivity and the quantum-Hall phase is discussed as a possible route to study topological superconductivity and non-Abelian physics. Finally, a brief summary on the prospective future research directions is given.

58 pages, 18 figures, submitted

References in corpus (77)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Ultrahigh electron mobility in suspended graphene
• Boron nitride substrates for high-quality graphene electronics
• The structure of suspended graphene sheets
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Suspended Graphene: a bridge to the Dirac point
• Intrinsic and Extrinsic Performance Limits of Graphene Devices on SiO2
• Doping graphene with metal contacts
• Charged Impurity Scattering in Graphene
• Atomic Structure of Graphene on SiO2
• STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
• Andreev reflection and Klein tunneling in graphene
• Carrier transport in 2D graphene layers
• Bipolar supercurrent in graphene
• Quantum-limited shot noise in graphene
• Specular Andreev reflection in graphene
• Current-induced cleaning of graphene
• Proximity-induced ferromagnetism in graphene revealed by anomalous Hall effect
• Spin-Orbit Proximity Effect in Graphene
• Bright visible light emission from graphene
• Josephson effect in ballistic graphene
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• Robust Transport Properties in Graphene
• Macroscopic quantum tunneling in a d-wave high-Tc superconductor
• Quantized conductance of a suspended graphene nanoconstriction
• Transport Through Andreev Bound States in a Graphene Quantum Dot
• Crossed Andreev reflection in a graphene bipolar transistor
• Electrostatic interactions between graphene layers and their environment
• Cooper Pair Splitting by means of Graphene Quantum Dots
• Theory of quantum metal to superconductor transitions in highly conducting systems
• Quantum Hall effect in graphene with superconducting electrodes
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Tunneling conductance in $s$- and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism
• Proximity DC squids in the long junction limit
• Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
• Edge currents shunt the insulating bulk in gapped graphene
• p-wave triggered superconductivity in single layer graphene on an electron-doped oxide superconductor
• Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
• Large yield production of high mobility freely suspended graphene electronic devices on a PMGI based organic polymer
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Density of states and supercurrent in diffusive SNS junctions: role of nonideal interfaces and spin-flip scattering
• A supercurrent switch in graphene $\pi$-junctions
• Excitation gap of a graphene channel with superconducting boundaries
• Andreev-Klein reflection in graphene ferromagnet-superconductor junctions
• Andreev reflection at high magnetic fields: Evidence for electron and hole transport in edge states
• Assembling Fibonacci Anyons From a ${\mathbb{Z}}_3$ Parafermion Lattice Model
• Zero-bias conductance peak and Josephson effect in graphene-NbTiN junctions
• Detecting entangled states in graphene via crossed Andreev reflection
• Tunable Anomalous Andreev Reflection and Triplet Pairings in Spin Orbit Coupled Graphene
• Subharmonic gap structure in short ballistic graphene junctions
• Tunable Klein-like tunneling of high-temperature superconducting pairs into graphene
• Reentrance effect in a graphene n-p-n junction coupled to a superconductor
• Crossed Andreev effects in two-dimensional quantum Hall systems
• Critical Josephson current in ballistic superconductor-graphene systems
• Andreev reflection in bilayer graphene
• Long range Josephson coupling through ferromagnetic graphene
• Conductance oscillations with magnetic field of a two-dimensional electron gas-superconductor junction
• Andreev reflection and strongly enhanced magnetoresistance oscillations in GaInAs/InP heterostructures with superconducting contacts
• Short Ballistic Josephson Coupling in Planar Graphene Junctions with Inhomogeneous Carrier Doping
• Pure spin current in graphene NS structures
• Andreev transport in two-dimensional normal-superconducting systems in strong magnetic fields
• Selective focusing of electrons and holes in a graphene-based superconducting lens
• Cooper-pair propagation and superconducting correlations in graphene
• Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
• Possible singlet and triplet superconductivity on honeycomb lattice
• Graphene based superconducting quantum point contacts
• Dissipation-driven quantum phase transition in superconductor-graphene systems
• Quasiclassical Theory of the Josephson Effect in Ballistic Graphene Junctions
• Current-phase relation of graphene Josephson junctions
• $\pi$-junction qubit in monolayer graphene
• Disordered graphene Josephson junctions
• Origin of Hysteresis in a Proximity Josephson Junction

Cited by in corpus (37)

• Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
• Emergence of highly linearly polarized interlayer exciton emission in MoSe${}_2$/WSe${}_2$ heterobilayers with transfer-induced layer corrugation
• Phonon-mediated superconductivity in doped monolayer materials
• Pressure induced nonmonotonic evolution of superconductivity in 6R-TaS2 with a natural bulk van der Waals heterostructure
• Evidence for Unconventional Superconductivity and Nontrivial Topology in PdTe
• Quantized conductance with non-zero shot noise as a signature of Andreev edge state
• Enhanced shot noise at bilayer graphene -- superconductor junction
• Gate-defined Josephson weak-links in monolayer $\mathrm{WT}{\mathrm{e}}_2$
• Dirac point formation revealed by Andreev tunneling in superlattice-graphene/superconductor junctions
• Higgs modes in proximized superconducting systems
• Four-terminal graphene-superconductor thermal switch controlled by the superconducting phase difference
• Increasing the Rate of Magnesium Intercalation Underneath Epitaxial Graphene on 6H-SiC(0001)
• Theory of scanning gate microscopy imaging of the supercurrent distribution in a planar Josephson junction
• Evidence of Josephson coupling in a few-layer black phosphorus planar Josephson junction
• Combined Zeeman and orbital effect on the Josephson effect in rippled graphene
• Landau Levels of Bilayer Graphene in a WSe${}_2$/Bilayer Graphene van der Waals Heterostructure
• Wafer-scale CMOS-compatible graphene Josephson field-effect transistors
• Breakdown of the Hebel-Slichter effect in superconducting graphene due to the emergence of Yu-Shiba-Rusinov states at magnetic resonant scatterers
• Tuning the supercurrent distribution in parallel ballistic graphene Josephson junctions
• Energy distribution controlled ballistic Josephson junction
• Spin relaxation, Josephson effect and Yu-Shiba-Rusinov states in superconducting bilayer graphene
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Shaping graphene superconductivity with nanometer precision
• Transparent Graphene-Superconductor Interfaces: Quantum Hall and Zero Field Regimes
• Local density of states in clean two-dimensional superconductor--normal metal--superconductor heterostructures
• Observation of Yu-Shiba-Rusinov states in superconducting graphene
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• Probing the current-phase relation of graphene Josephson junctions using microwave measurements
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Unified Formula for Stationary Josephson Current in Planar Graphene Junctions
• Anisotropic supercurrent suppression and revivals in a graphene-based Josephson junction under in-plane magnetic fields
• Magnetically modulated superconductor-graphene-superconductor (SGS) Josephson junctions and their tunability
• Proximity spin-orbit coupling in graphene on alloyed transition metal dichalcogenides
• Gate-controlled Supercurrent in Ballistic InSb Nanoflag Josephson Junctions
• Building 3D superconductor-based Josephson junctions using a via transfer approach
• Propagation of Visible Light in Nanostructured Niobium Stripes Embedded in a Dielectric Polymer
• Sublattice polarization and filamentary superconductivity in strained graphene