Andreev reflection and Klein tunneling in graphene

Abstract

This is a colloquium-style introduction to two electronic processes in a carbon monolayer (graphene), each having an analogue in relativistic quantum mechanics. Both processes couple electron-like and hole-like states, through the action of either a superconducting pair potential or an electrostatic potential. The first process, Andreev reflection, is the electron-to-hole conversion at the interface with a superconductor. The second process, Klein tunneling, is the tunneling through a p-n junction. Existing and proposed experiments on Josephson junctions and bipolar junctions in graphene are discussed from a unified perspective. CONTENTS: I. INTRODUCTION II. BASIC PHYSICS OF GRAPHENE (Dirac equation; Time reversal symmetry; Boundary conditions; Pseudo-diffusive dynamics) III. ANDREEV REFLECTION (Electron-hole conversion; Retro-reflection vs. specular reflection; Dirac-Bogoliubov-de Gennes equation; Josephson junctions; Further reading) IV. KLEIN TUNNELING (Absence of backscattering; Bipolar junctions; Magnetic field effects; Further reading) V. ANALOGIES (Mapping between NS and p-n junction; Retro-reflection vs. negative refraction; Valley-isospin dependent quantum Hall effect; Pseudo-superconductivity)

20 pages, 28 figures; "Colloquium" for Reviews of Modern Physics

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• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Transport measurements across a tunable potential barrier in graphene
• Graphene: new bridge between condensed matter physics and quantum electrodynamics
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Andreev Reflection In Ferromagnet-Superconductor Junctions
• First direct observation of Dirac fermions in graphite
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Boundary conditions for Dirac fermions on a terminated honeycomb lattice
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Superconducting states of pure and doped graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Effect of Disorder on Transport in Graphene
• Quantum dots in graphene
• Josephson effect in ballistic graphene
• Novel electric field effects on Landau levels in Graphene
• Edge States and the Quantized Hall Effect in Graphene
• Quantized Transport in Graphene p-n Junctions in Magnetic Field
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• History and Physics of the Klein Paradox
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Extremal transmission at the Dirac point of a photonic band structure
• Shot Noise in Ballistic Graphene
• Detection of valley polarization in graphene by a superconducting contact
• Tunneling conductance of graphene NIS junctions
• Random resistor network model of minimal conductivity in graphene
• Nonlinear screening and ballistic transport in a graphene p-n junction
• Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
• Peculiar Nature of Snake States in Graphene
• Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
• Effect of disorder on a graphene p-n junction
• Proximity and Josephson effects in superconductor - two dimensional electron gas planar junctions
• Conductance quantization and snake states in graphene magnetic waveguides
• Effective contact model for transport through weakly-doped graphene
• Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
• Transport in disordered graphene nanoribbons
• Photon-assisted electron transport in graphene
• Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
• Transport through normal metal - graphene contacts
• Excitation gap of a graphene channel with superconducting boundaries
• Valley-isospin dependence of the quantum Hall effect in a graphene p-n junction
• Electronic transport in normal-conductor/graphene/normal-conductor junctions and conditions for insulating behavior at a finite charge-carrier density
• Josephson effect in graphene SBS junctions
• Electromagnetic field induced suppression of transport through $n$-$p$ junctions in graphene
• d+id'-wave Superconducting States in Graphene
• Pseudo-diffusive magnetotransport in graphene
• Subharmonic gap structure in short ballistic graphene junctions
• Theory of tunneling conductance of graphene NIS junctions
• Josephson effect in mesoscopic graphene strips with finite width
• Reentrance effect in a graphene n-p-n junction coupled to a superconductor
• Geometrical enhancement of the proximity effect in quantum wires with extended superconducting tunnel contacts
• Andreev reflection in bilayer graphene
• Correspondence between Andreev reflection and Klein tunneling in bipolar graphene
• Pseudo-diffusive conduction at the Dirac point of a normal-superconductor junction in graphene
• Pure spin current in graphene NS structures
• Cooper-pair propagation and superconducting correlations in graphene
• Fine structure of the local pseudogap and Fano effect for superconducting electrons near a zigzag graphene edge
• Local impurity effects in superconducting graphene
• Einstein and the Early Theory of Superconductivity, 1919-1922
• Magnetoconductance of carbon nanotube p-n junctions
• Transport in Graphene p-n Junctions in Magnetic Field
• Valley polarized electronic beam splitting in graphene

Cited by in corpus (561)

• Electronic transport in two dimensional graphene
• New Perspectives for Rashba Spin-Orbit Coupling
• Production, properties and potential of graphene
• Colloquium: Topological Band Theory
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• The electronic properties of bilayer graphene
• Colloquium: The transport properties of graphene: An introduction
• Dirac materials
• Evidence of Klein tunneling in graphene p-n junctions
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Observation of novel edge states in photonic graphene
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Klein tunneling in graphene: optics with massless electrons
• Tuneable electronic properties in graphene
• Random-matrix theory of Majorana fermions and topological superconductors
• Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
• Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect
• Modeling electronic structure and transport properties of graphene with resonant scattering centers
• The role of contact resistance in graphene field-effect devices
• Quantum Goos-Hanchen effect in graphene
• Magnetic and Electronic Properties of Metal-Atom Adsorbed Graphene
• Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene
• Gate-controlled Guiding of Electrons in Graphene
• Graphene under hydrostatic pressure
• Electronic transport properties of graphene nanoribbons
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Electronic Band gaps and transport properties inside graphene superlattices with one-dimensional periodic squared potentials
• Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Specular Interband Andreev Reflections in Graphene
• Barrier transmission of Dirac-like pseudospin-one particles
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• Quantum dots and spin qubits in graphene
• Electrostatic confinement of electrons in an integrable graphene quantum dot
• Optical response of graphene under intense terahertz fields
• Disorder and Electronic Transport in Graphene
• Landau level splitting in Cd3As2 under high magnetic fields
• Smooth electron waveguides in graphene
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Quantum transport through a graphene nanoribbon-superconductor junction
• Scattering matrix approach to the description of quantum electron transport
• Tuning the conductance of Dirac fermions on the surface of a topological insulator
• Understanding electron behavior in strained graphene as a reciprocal space distortion
• Theory of valley-orbit coupling in a Si/SiGe quantum dot
• Quantum pumping in graphene
• Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
• Dirac electrons in a Kronig-Penney potential: dispersion relation and transmission periodic in the strength of the barriers
• Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
• Phase dynamics in graphene-based Josephson junctions in the presence of thermal and correlated fluctuations
• Contact resistance and shot noise in graphene transistors
• Chiral tunneling in single and bilayer graphene
• Superconducting proximity effect through graphene from zero field to the Quantum Hall regime
• Transport and localization in periodic and disordered graphene superlattices
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Electron optics with magnetic vector potential barriers in graphene
• Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting
• Diffusion and criticality in undoped graphene with resonant scatterers
• Non-linear electric transport in graphene: quantum quench dynamics and the Schwinger mechanism
• Spin-resolved scattering through spin-orbit nanostructures in graphene
• Guided modes in graphene waveguides
• Observation of an unpaired photonic Dirac point
• Charge transport in graphene with resonant scatterers
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
• Induced Superconductivity in Graphene Grown on Rhenium
• Controllable Andreev retroreflection and specular Andreev reflection in a four-terminal graphene-superconductor hybrid system
• Graphene on incommensurate substrates: trigonal warping and emerging Dirac cone replicas with halved group velocity
• Coulomb interaction in graphene: Relaxation rates and transport
• Conductance oscillations induced by ballistic snake states in a graphene heterojunction
• Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
• Charge transport in pn and npn junctions of silicene
• Snake States in Graphene p-n Junctions
• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Nernst and Seebeck effect in a graphene nanoribbon
• Scattering in one-dimensional heterostructures described by the Dirac equation
• Conductance of disordered graphene superlattice
• Valley-momentum locking in a graphene superlattice with Y-shaped Kekulé bond texture
• Observation of Supercurrent in PbIn-Graphene-PbIn Josephson Junction
• Orbital selective and tunable Kondo effect of magnetic adatoms on graphene: Correlated electronic structure calculations
• Electrical Control of the Chemical Bonding of Fluorine on Graphene
• Creation of particle-hole superposition states in graphene at multiphoton resonant excitation by laser radiation
• Proximity coupling in superconductor-graphene heterostructures
• Transport in superlattices on single layer graphene
• Andreev reflection in graphene nanoribbons
• Electron transport and Goos-Hanchen shift in graphene with electric and magnetic barriers: optical analogy and band structure
• Spin-dependent Klein tunneling in graphene: Role of Rashba spin-orbit coupling
• Steady Floquet-Andreev States Probed by Tunnelling Spectroscopy
• Electronic transmission through AB-BA domain boundary in bilayer graphene
• Pseudomagnetic fields and triaxial strain in graphene
• Graphene-based electronic spin lenses
• Josephson current in graphene: the role of unconventional pairing symmetries
• Invariant expansion for the trigonal band structure of graphene
• Finite difference method for transport properties of massless Dirac fermions
• Design of electron wave filters in monolayer graphene by tunable transmission gap
• Strain-induced band gaps in bilayer graphene
• Lifshitz and Excited State Quantum Phase Transitions in Microwave Dirac Billiards
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
• Nonlinear response of metallic acGNR to an elliptically-polarized terahertz excitation field
• Andreev-Klein reflection in graphene ferromagnet-superconductor junctions
• Lattice-corrected strain-induced vector potentials in graphene
• Band gap in graphene induced by vacuum fluctuations
• Doping transition-metal atoms in graphene for atomic-scale tailoring of electronic, magnetic, and quantum topological properties
• CT invariant quantum spin Hall effect in a ferromagnetic graphene
• Conformal mapping and shot noise in graphene
• The Aharonov-Bohm effect in graphene rings
• Chirality-Assisted Electronic Cloaking in Bilayer Graphene Nanostructures
• Magnetoconductance of the Corbino disk in graphene
• Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
• Modeling Klein tunneling and caustics of electron waves in graphene
• Resonant valley filtering of massive Dirac electrons
• The gapped state of a carbon mono-layer in periodic magnetic and electric fields
• Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard
• Goos-Hänchen-like shifts for Dirac fermions in monolayer graphene barrier
• Robust zero-averaged wave-number gap inside gapped graphene superlattices
• Spin Polarized and Valley Helical Edge Modes in Graphene Nanoribbons
• Spin-controlled superconductivity and tunable triplet correlations in graphene nanostructures
• Detecting entangled states in graphene via crossed Andreev reflection
• Interplay of the Aharonov-Bohm effect and Klein tunneling in graphene
• Charge and spin dynamics driven by ultrashort extreme broadband pulses: a theory perspective
• Edge effects in graphene nanostructures: I. From multiple reflection expansion to density of states
• Tunable Anomalous Andreev Reflection and Triplet Pairings in Spin Orbit Coupled Graphene
• Graphene Transistor Based on Tunable Dirac-Fermion-Optics
• Type-I and type-II Nodal Lines Coexistence in the Antiferromagnetic monolayer CrAs${}_2$
• Magnetotransport of Dirac Fermions on the surface of a topological insulator
• Distribution of supercurrent switching in graphene under proximity effect
• Observation of perfect Andreev reflection due to Klein paradox in a topological superconducting state
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Local sublattice symmetry breaking for graphene with a centro-symmetric deformation
• Tunable Klein-like tunneling of high-temperature superconducting pairs into graphene
• Strain-engineered Majorana Zero Energy Modes and ϕ0 Josephson State in Black Phosphorus
• Crossed Andreev effects in two-dimensional quantum Hall systems
• Critical Josephson current in ballistic superconductor-graphene systems
• Local versus extended deformed graphene geometries for valley filtering
• Determining spin-orbit coupling in graphene by quasiparticle interference imaging
• Kronig-Penney model on bilayer graphene: spectrum and transmission periodic in the strength of the barriers
• Quantization of charged fields in the presence of critical potential steps
• Dirac electrons in graphene-based quantum wires and quantum dots
• Hyperfine-induced valley mixing and the spin-valley blockade in carbon-based quantum dots
• Single-parameter quantum charge and spin pumping in armchair graphene nanoribbons
• Tunneling of Dirac electrons through spatial regions of finite mass
• Towards Graphene Nanoribbon-based Electronics
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Andreev reflection near the Dirac point at Graphene - NbSe2 junction
• Electronic Properties of Disordered Graphene Antidot Lattices
• Group theoretical and topological analysis of the quantum spin Hall effect in silicene
• Enhancement of electron-hole superfluidity in double few-layer graphene
• Double Andreev Reflections in Type-II Weyl Semimetal-Superconductor Junctions
• Emergence of massless Dirac fermions in graphene's Hofstadter butterfly at switches of the quantum Hall phase connectivity
• Current-phase relation for Josephson effect through helical metal
• Inter-Landau-level Andreev Reflection at the Dirac Point in a Graphene Quantum Hall State Coupled to a NbSe2 Superconductor
• Anderson localization in metamaterials and other complex media
• Scattering from Surface Step Edges in Strong Topological Insulators
• Dirac Spectrum in Piecewise Constant One-Dimensional Potentials
• Spin superconductor in ferromagnetic graphene
• Coherent Graphene Devices: Movable Mirrors, Buffers and Memories
• Common-Path Interference and Zener Tunneling in Bilayer Graphene p-n Junctions
• Model of an exotic chiral superconducting phase in a graphene bilayer
• Scanning Tunneling Spectroscopy of Proximity Superconductivity in Epitaxial Multilayer Graphene
• Magnetic Correlations in Short and Narrow Graphene Armchair Nanoribbons
• Quantum phase transitions of a disordered antiferromagnetic topological insulator
• Visualization of phase-coherent electron interference in a ballistic graphene Josephson junction
• Spin Orbit Interaction and Isotropic Electronic Transport in Graphene
• Chirality blockade of Andreev reflection in a magnetic Weyl semimetal
• The split-operator technique for the study of spinorial wavepacket dynamics
• Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
• Semiclassical magnetotransport in graphene n-p junctions
• Large-area nanoengineering of graphene corrugations for visible-frequency graphene plasmons
• Manipulating chiral transmission by gate geometry: switching in graphene with transmission gaps
• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• Zero-energy bound states in the high-temperature superconductors at the two-dimensional limit
• Random matrices and quantum chaos in weakly-disordered graphene nanoflakes
• A Ballistic Graphene Cooper Pair Splitter
• The focusing of electron flow in a bipolar Graphene ribbon with different chiralities
• Currents and pseudomagnetic fields in strained graphene rings
• Josephson effect in a Weyl SNS junction
• Electrically controlled crossed Andreev reflection in two-dimensional antiferromagnets
• Klein Tunneling and Berry Phase $\pi$ in Bilayer Graphene with a Band Gap
• Scanning tunneling spectroscopy of a magnetic atom on graphene in the Kondo regime
• Anomalous conductances in an ultracold quantum wire
• How to Distinguish between Specular and Retroconfigurations for Andreev Reflection in Graphene Rings
• Localization and circulating currents in curved graphene devices
• Spectral properties of Dirac billiards at the van Hove singularities
• Edge states interferometry and spin rotations in zigzag graphene nanoribbons
• Fermi energy dependence of first- and second-order Raman spectra in graphene: Kohn anomaly and quantum interference effect
• Effective Magnetic Fields in Graphene Superlattices
• Magnetoanisotropic spin-triplet Andreev reflection in ferromagnet-Ising superconductor junctions
• Symmetry of superconducting correlations in displaced bilayers of graphene
• Spin filter and spin valve in ferromagnetic graphene
• Transmission gap, Bragg-like reflection, and Goos-Hänchen shifts near the Dirac point inside a negative-zero-positive index metamaterial slab
• Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction
• Two-dimensional electronic transport on the surface of 3D topological insulators
• Valley polarized transport in strained graphene based Corbino disc
• Vortex Core States in Superconducting Graphene
• Nonlocal transistor based on pure crossed Andreev reflection in a EuO-graphene/superconductor hybrid structure
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Two-dimensional Massless Dirac Fermions in Antiferromagnetic AFe2As2 (A = Ba, Sr)
• Quantum tunneling through planar p-n junctions in HgTe quantum wells
• Superconducting proximity effect in graphene under inhomogeneous strain
• Effective Time Reversal Symmetry Breaking and Energy Spectra of Graphene Armchair Rings
• Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling
• Andreev reflection in monolayer MoS2
• Thermoelectric effects in graphene with local spin-orbit interaction
• Thermal Transport for Probing Quantum Materials
• Kondo effect in graphene with Rashba spin-orbit coupling
• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Symmetry breaking effects on spin and electronic transport in graphene
• The effect of sublattice symmetry breaking on the electronic properties of a doped graphene
• Light-induced valley currents and magnetization in graphene rings
• Josephson junctions of Weyl and multi-Weyl semimetals
• Thermal Transport Properties of Graphene-Based F/S/F Junctions
• Seebeck effect in the graphene-superconductor junction
• Transverse Shift in Andreev Reflection
• Ballistic-Ohmic quantum Hall plateau transition in graphene pn junction
• Efficient quantum transport simulation for bulk graphene heterojunctions
• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Klein tunneling in driven-dissipative photonic graphene
• Strain-induced transitions to quantum chaos and effective time-reversal symmetry breaking in triangular graphene nanoflakes
• Quantum chaos in disordered graphene
• Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
• P-N junctions dynamics in graphene channel induced by ferroelectric domains motion
• Massless Dirac fermions in III-V semiconductor quantum wells
• Enhancement of crossed Andreev reflection in normal-superconductor-normal junction of thin topological insulator
• Specular Andreev reflection in thin films of topological insulators
• The parity of specular Andreev reflection under mirror operation in zigzag graphene ribbon
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Bilayer graphene under pressure: Electron-hole Symmetry Breaking, Valley Hall Effect, and Landau Levels
• Field-induced decay of quantum vacuum: visualizing pair production in a classical photonic system
• Super-Andreev reflection and longitudinal shift of pseudospin-one fermions
• Dynamics of the (spin-) Hall effect in topological insulators and graphene
• Spatial control of laser-induced doping profiles in graphene on hexagonal boron nitride
• Premature Switching in Graphene Josephson Transistors
• Generation of a fully valley-polarized current in bulk graphene
• Imaging Andreev Reflection in Graphene
• Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of 1D and 2D lattices
• Breakdown of the N=0 Quantum Hall State in graphene: two insulating regimes
• Magnetic field-tunable valley-contrasting pseudomagnetic confinement in graphene
• Anisotropic transport of normal metal-barrier-normal metal junctions in monolayer phosphorene
• Experimental Realization of a Relativistic Harmonic Oscillator
• Partial positive refraction in asymmetric Veselago lenses of uniaxially strained graphene
• The influence of anti-chiral edge states on Andreev reflection in graphene-superconductor junction
• Interplay of Aharonov-Bohm and Berry phases in gate-defined graphene quantum dots
• Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene
• Electron dynamics in strained graphene
• Evolution of Landau levels in graphene-based topological insulators in the presence of wedge disclinations
• Enhanced Andreev reflection in gapped graphene
• Chiral tunneling in trilayer graphene
• Gate voltage controlled electronic transport through a ferromagnet/normal/ferromagnet junction on the surface of a topological insulator
• GOE statistics in graphene billiards with the shape of classically integrable billiards
• Band gaps in graphene via periodic electrostatic gating
• Giant valley-isospin conductance oscillations in ballistic graphene
• Control of superconducting pairing symmetries in monolayer black phosphorus
• Large intravalley scattering due to pseudo-magnetic fields in crumpled graphene
• Crystalline Soda Can Metamaterial exhibiting Graphene-like Dispersion at subwavelength scale
• Density of states as a probe of electrostatic confinement in graphene
• Electron-electron and electron-hole pairing in graphene structures
• Universal Spin Hall Conductance Fluctuations in Chaotic Dirac Quantum Dots
• Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional scalar potential
• Terahertz Transverse-Electric- and Transverse-Magnetic-polarized waves localized on graphene in photonic crystals
• Signatures of d-Wave Symmetry on Thermal Dirac Fermions in Graphene-Based F/I/d Junctions
• Symmetry-dependent transport behavior of graphene double dots
• Charge confinement and Klein tunneling from doping graphene
• Deflection of suspended graphene by a transverse electric field
• Quantum charge pumping through resonant crossed Andreev reflection in superconducting hybrid junction of Silicene
• Realization of a double-slit SQUID geometry by Fermi arc surface states in a WTe${}_2$ Weyl semimetal
• Thermal conductance by Dirac fermions in a normal-insulator-superconductor junction of silicene
• Design Considerations for 2D Dirac-Source FETs: Device Parameters, Non-Idealities and Benchmarking
• Floquet bound states around defects and adatoms in graphene
• Electron Flow in Circular n-p Junctions of Bilayer Graphene
• Magnetic field induced semimetal-to-canted-antiferromagnet transition on the honeycomb lattice
• Transmission spectra and valley processing of graphene and carbon nanotube superlattices with inter-valley coupling
• General Green's function formalism for layered systems: Wave function approach
• Lateral Josephson effect on the surface of Co${}_3$Sn${}_2$S${}_2$ magnetic Weyl semimetal
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Spin-dependent Klein tunneling in polariton graphene with photonic spin-orbit interaction
• The Effect of the Disorder on the Longitudinal Resistance of a Graphene p-n Junction in Quantum Hall Regime
• Piezoconductivity of gated suspended graphene
• Supercurrent in superconducting graphene
• Entanglement harvesting in double-layer graphene by vacuum fluctuations in a microcavity
• Josephson junction detectors for Majorana modes and Dirac fermions
• Resonant scattering in graphene with a gate-defined chaotic quantum dot
• Andreev reflection in ballistic normal metal/graphene/superconductor junctions
• Triplet proximity effect and odd-frequency pairing in graphene
• Localization of Dirac-like excitations in graphene in the presence of smooth inhomogeneous magnetic fields
• Controllable nonreciprocal optical response and handedness-switching in magnetized spin orbit coupled graphene
• Transparency at the interface between two isospectral crystals
• Spintronic signatures of Klein tunneling in topological insulators
• Gate driven adiabatic quantum pumping in graphene
• Electron collimation at van der Waals domain walls in bilayer graphene
• Evidence of electronic cloaking from chiral electron transport in bilayer graphene nanostructures
• Transport across junctions of a Weyl and a multi-Weyl semimetal
• Disorder-dressed quantum evolution
• Fluctuation Phenomena in Chaotic Dirac Quantum Dots: Artificial Atoms on Graphene Flakes
• Edge magnetoplasmons in graphene
• BF-theory in graphene: a route toward topological quantum computing?
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• Giant supercurrent states in a superconductor-InAs/GaSb-superconductor junction
• Thermal dissipation in the quantum Hall regime in graphene
• Proximity-induced superconductivity within the InAs/GaSb edge conducting state
• Bose-Einstein condensate-mediated superconductivity in graphene
• Phase diagrams and edge-state transitions in graphene with spin-orbit coupling and magnetic and pseudomagnetic fields
• Light-modulated Josephson effect in Kekulé patterned graphene
• Phonon-mediated electron pairing in graphene
• Resonant tunneling through superconducting double barrier structures in graphene
• Solving Klein's paradox
• Spin-selectable, region-tunable negative differential resistance in graphene double ferromagnetic barriers
• Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
• Magnetic field oscillations of the critical current in long ballistic graphene Josephson junctions
• Andreev Reflection and Klein Tunneling in High-Temperature Superconductor/Graphene Junctions
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Oblique and asymmetric Klein tunneling across smooth NP junctions or NPN junctions in 8-Pmmn borophene
• Energy gap in graphene nanoribbons with structured external electric potentials
• Mesoscopic valley filter in graphene Corbino disk containing a p-n junction
• Andreev spectroscopy of doped HgTe quantum wells
• Spin-dependent thermoelectric effects in graphene based superconductor junctions
• Kondo effect of an adatom in graphene and its scanning tunneling spectroscopy
• Probing valley filtering effect by Andreev reflection in zigzag graphene nanoribbon
• What can we learn about the dynamics of transported spins by measuring shot noise in spin-orbit-coupled nanostructures?
• Test of the Atiyah-Singer Index Theorem for Fullerene with a Superconducting Microwave Resonator
• Josephson effect in graphene bilayers with adjustable relative displacement
• Controlling electron flow in anisotropic Dirac materials heterojunctions: a super-diverging lens
• Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal
• Modulation of Kekulé adatom ordering due to strain in graphene
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Effect of Energy Band Gap in Graphene on Negative Refraction through the Veselago Lens and Electron Conductance
• Electron spin relaxation in bilayer graphene
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Kekulé Induced Valley Birefringence and Skew Scattering in Graphene
• Gate-tunable Veselago Interference in a Bipolar Graphene Microcavity
• Bilayer Graphene Interferometry : Phase Jump and Wave Collimation
• Resonant peak splitting for graphene superlattices with one-dimensional periodic potentials of square barriers
• Induced fermionic charge and current densities in two-dimensional rings
• Probing unconventional superconductivity in proximitized graphene by impurity scattering
• Effects of transverse electric fields on Landau subbands in bilayer zigzag graphene nanoribbons
• Spin-flip reflection at the normal metal-spin superconductor interface
• Tunable Electronic Band Structures and Zero-Energy Modes of Heterosubstrate-induced Graphene Superlattices
• Bound electron states in the monolayer graphene with short-range impurities
• Large twisting angles in Bilayer graphene Moire quantum dot structures
• Electric-field-induced extremely large change in resistance in graphene ferromagnets
• Andreev reflection of massive pseudospin-1 fermions
• Exact Dirac-Bogoliubov-de Gennes Dynamics for Inhomogeneous Quantum Liquids
• Limits for the graphene on ferroelectric domain wall p-n-junction rectifier for different regimes of current
• Spin-valley collective modes of the electron liquid in graphene
• Electrons scattering in the monolayer graphene with the short-range impurities
• Gate-controlled valley transport and Goos-Hänchen effect in monolayer WS${}_2$
• Conductance oscillations and zero-bias anomaly in a single superconducting junction to a three-dimensional $B{i}_{2}T{e}_3$ topological insulator
• Inhomogeneous superconductivity in the presence of time-reversal symmetry
• Measuring Dirac Cones in a Sub-Wavelength Metamaterial
• Detection of Fermi Arcs in Weyl Semimetals through Surface Negative Refraction
• Multiple Vortex Cores in 2D Electronic Systems with Proximity Induced Superconductivity
• Valleytronic full configuration-interaction approach: An application to the excitation spectra of Si double-dot qubits
• Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain
• Dirac point formation revealed by Andreev tunneling in superlattice-graphene/superconductor junctions
• Electron spin relaxation in rippled graphene with low mobilities
• Spin-valley dependent double Andreev reflections in the proximitized graphene/superconductor junction
• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
• Gap opening of single-layer graphene under the continuum model
• Gate-controlled supercurrent reversal in MoS${}_2$-based Josephson junctions
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
• Andreev reflection for MnTe altermagnet candidate
• How to detect a genuine quantum pump effect in graphene?
• Optical flux pump in the quantum Hall regime
• Resonant electron scattering by graphene antidot
• Anomalous Entanglement in Chaotic Dirac Billiards
• Anomalous Phase Dynamics of Driven Graphene Josephson Junctions
• Berry-phase switch in electrostatically-confined topological surface states
• Narrow depression in the density of states at the Dirac point in disordered graphene
• Conductance response of graphene nanoribbons and quantum point contacts in the scanning probe measurements
• Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field
• Transmission in graphene through a double laser barrier
• Time-dependent Andreev reflection
• Sublattice symmetry breaking and Kondo-effect enhancement in strained graphene
• Gap formation in helical edge states with magnetic impurities
• Impact of the domain structure in ferroelectric substrate on graphene conductance (authors' review)
• Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise
• Understanding magnetic focusing in graphene $p$-$n$ junctions through quantum modeling
• Cross-Section Fluctuations in Chaotic Scattering Systems
• Andreev reflection in Euler materials
• Transverse Josephson diode effect in tilted Dirac systems
• Relativistic model for electron-hole pairing in the superconducting state of graphene-based materials
• Four-terminal graphene-superconductor thermal switch controlled by the superconducting phase difference
• Relativistic fermion on a ring: Energy spectrum and persistent current
• Emergence of strain-induced moiré patterns and pseudo-magnetic field confined states in graphene
• Black holes as Andreev reflecting mirrors
• Valley and Zeeman Splittings in Multilayer Epitaxial Graphene Revealed by Circular Polarization Resolved Magneto-infrared Spectroscopy
• Characteristic energies, transition temperatures, and switching effects in clean SNS graphene nanostructures
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Spin and charge thermopower effects in the ferromagnetic graphene junction
• Incipient Berezinskii-Kosterlitz-Thouless transition in two-dimensional coplanar Josephson junctions
• Pure spin current in a two-dimensional topological insulator
• Nearly flat Andreev bound states in superconductor-topological insulator hybrid structures
• Trigonal warping induced terraced spin texture and nearly perfect spin polarization in graphene with Rashba effect
• Density of States Analysis of Electrostatic Confinement in Gapped Graphene
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Complex Supersymmetry in Graphene
• Effectuating tunable valley selection via multi-terminal monolayer graphene devices
• Charge transport in ballistic multiprobe graphene structures
• Local and Tunable Geometric Phase of Dirac Fermions in a Topological Junction
• Conductance of gated junctions as a probe of topological interface states
• Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion
• Aperiodic conductivity oscillations in quasi-ballistic graphene heterojunctions
• Effect of Berry Phase on Nonlinear Response of Two-dimensional Fermions
• Impurities and electronic localization in graphene bilayers
• Theory for polaritonic quantum tunneling
• Andreev and normal reflections in gapped bilayer graphene-superconductor junctions
• Periodically Gated Bilayer Graphene as an Electronic Metamaterial
• The stationary Dirac equation as a generalized Pauli equation for two quasiparticles
• Disordered graphene Josephson junctions
• Regular and irregular dynamics of Dirac-Weyl wavepackets in a mesoscopic quantum dot at the edge of topological insulator
• Resonant tunneling through double-barrier structures on graphene
• Klein tunneling of two correlated bosons
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• To gap or not to gap? Mass distortions and edge modes in graphene armchair nanoribbons
• Photonic realization of the kappa-deformed Dirac equation
• Keldysh functional renormalization group for electronic properties of graphene
• Vortex matter in low dimensional systems with proximity induced superconductivity
• Andreev reflection in a Y-shaped graphene-superconductor device
• Superconducting proximity effect in flat band systems
• Graphene Andreev Billiards
• Andreev tunnelling and Josephson current in light irradiated graphene
• Electric control of tunneling energy in graphene double dots
• Omnidirectional excitation of surface waves and super-Klein tunneling at the interface between two different bi-isotropic media
• Josephson super-current in graphene-superconductor junction
• Phase dependent loading of Bloch bands and Quantum simulation of relativistic wave equation predictions with ultracold atoms in variably shaped optical lattice potentials
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Dual top gated graphene transistor in the quantum Hall regime
• Transport properties in gapped graphene through magnetic barrier in a laser field
• Electron trapping in graphene quantum dots with magnetic flux
• Josephson effect in silicene-based SNS Josephson junction: Andreev reflection and free energy
• Andreev reflection in edge states of time reversal invariant Landau levels
• Electrical and thermal transport through $\alpha -T_3$ NIS junction
• Andreev reflection in 2D relativistic materials with realistic tunneling transparency in normal-metal-superconductor junctions
• Tip-induced Superconductivity
• Proximity-induced superconductivity in Landau-quantized graphene monolayers
• Semiclassical Approach to the Physics of Smooth Superlattice Potentials in Graphene
• Edge states, spin transport and impurity induced local density of states in spin-orbit coupled graphene
• Strain Effect on Transmission in Graphene Laser Barrier
• Weak links in proximity superconducting two dimensional electron systems
• Supercurrent reversal in Josephson junctions based on bilayer graphene flakes
• Chiral tunneling in single layer graphene with Rashba spin-orbit coupling: spin currents
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Magnetoplasmons and SU(4) symmetry in graphene
• Tunneling chirality Hall effect in type-I Weyl semimetals
• Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
• Lithium doped graphene as spintronic devices
• Kekulé valence bond order in the honeycomb lattice optical Su-Schrieffer-Heeger Model and its relevance to Graphene
• Partial preservation of chiral symmetry and colossal magnetoresistance in adatom doped graphene
• Pseudodiffusive conductance, quantum-limited shot noise, and Landau-level hierarchy in biased graphene bilayer
• Chiral filtering in graphene with coupled valleys
• Gate-Tunable Spin Transport and Giant Electroresistance in Ferromagnetic Graphene Vertical Heterostructures
• Enhancement of thermoelectric figure of merit in zigzag graphene nanoribbons with periodic edge vacancies
• Electron dynamics in graphene with spin-orbit couplings and periodic potentials
• Amplification of Cooper pair splitting current in a graphene based Cooper pair beam splitter geometry
• Andreev spectroscopy of nonhelical spin textures in topological insulators
• Massive and massless two-dimensional Dirac particles in electric quantum dots
• h-BN layer induced chiral decomposition in the electronic properties of multilayer graphene
• Solutions of the Bogoliubov-de Gennes equation with position dependent Fermi--velocity and gap profiles
• Anomalous quantum interference effects in graphene SNS junctions due to strain-induced gauge fields
• Spin-dependent transport through interacting graphene armchair nanoribbons
• Nonlinear electric transport in graphene with magnetic disorder
• Tunable magnetoresistance in spin-orbit coupled graphene junctions
• Quantum plateau of Andreev reflection induced by spin-orbit coupling
• Spin-orbit interaction in bent carbon nanotubes: resonant spin transitions
• Two-electron n-p double quantum dots in carbon nanotubes
• Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
• Reflectionless Klein tunneling of Dirac fermions: Comparison of split-operator and staggered-lattice discretization of the Dirac equation
• Shaping graphene superconductivity with nanometer precision
• Coupled spin and valley Hall effects driven by coherent tunneling
• Nontrivial temperature behavior of the carrier concentration in the nanostructure "graphene channel on ferroelectric substrate with domain walls"
• Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer
• Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
• Persistent currents in absence of magnetic field in graphene nanorings: The ambiguous role of inter valley scattering
• Time-Reversal Symmetry Breaking and Decoherence in Chaotic Dirac Billiards
• Physical realization of Photonic Klein Tunneling
• Impurity cyclotron resonance of anomalous Dirac electrons in graphene
• Metallic proximity effect in ballistic graphene with resonant scatterers
• Effect of Andreev Processes on the Goos-Hänchen (GH) shift in the Graphene-Superconductor-Graphene (GSG) junctions
• Imaging the localization of the quasi-bound states in graphene antidots
• Spin and valley polarized one-way Klein tunneling in photonic topological insulators
• Intrinsic superstructure near atomically clean armchair-type step edge of graphite
• Pseudo spin torque induced by strain field of Dirac fermions in graphene
• Unconventional particle-hole mixing in the systems with strong superconducting fluctuations
• Valley to charge current conversion in graphene grain boundaries
• Gate-controlled current switch in graphene
• Quantum Charged Spinning Massless Particles in 2+1 dimensions
• Subgap modes in two-dimensional magnetic Josephson junctions
• Thermopower generation and thermoelectric cooling in a Kane-Mele normal-insulator-superconductor nano-junction
• Probing valley phenomena with gate-defined valley splitters
• Electrical and thermal transport in a twisted heterostructure of transition metal dichalcogenide and CrI${}_3$ connected to a superconductor
• Modeling charge relaxation in graphene quantum dots induced by electron-phonon interaction
• Detecting Strain Effects due to Nanobubbles in Graphene Mach-Zehnder Interferometers
• Transparent Graphene-Superconductor Interfaces: Quantum Hall and Zero Field Regimes
• Klein Tunneling of Gigahertz Elastic Waves in Nanoelectromechanical Metamaterials
• Band structures and contact points in phosphorene superlattice
• Specular Andreev reflection at the edge of an InAs/GaSb double quantum well with band inversion
• Linear scaling relation between two-dimensional massless Dirac fermion Fermi velocity and Fe-As bond length in iron arsenide superconductor systems
• Aharonov-Bohm-Coulomb Problem in Graphene Ring
• Graphene separation and stretching induced by piezoelectric effect of ferroelectric domains: impact on the conductance of graphene channel
• Atomic collapse of high-order singular potentials in graphene
• Bound state properties of ABC-stacked trilayer graphene quantum dots
• Unconventional transport properties in systems with triply degenerate quadratic band crossings
• Entanglement harvesting in buckled honeycomb lattices by vacuum fluctuations in a microcavity
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Dynamically assisted Klein tunneling in the Furry picture
• Valley Gapless Semiconductor: Models and Applications
• Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor
• Geometry-induced wavefunction collapse
• Relativistic particles in super-periodic potentials: exploring graphene and fractal systems
• Vortex Solutions and a Novel Role for R-parity in an N=2-Supersymmetric Model for Graphene
• Scattering problems and boundary conditions for 2D electron gas and graphene
• Dirac fermions in Fe ultra-thin film
• Graphene: Junctions and STM Spectra
• Phonon-limited transport coefficients in extrinsic graphene
• Anomalous spin Josephson effect in spin superconductors
• Electronic transport in graphene with particle-hole-asymmetric disorder
• Schwinger-Keldysh approach to tunneling transport at a hadron-quark interface
• Quantum confinement in Dirac-like nanostructures
• Haldane graphene billiards versus relativistic neutrino billiards
• Massive Klein Tunneling in Topological Photonic Crystals
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Giant tunable magnetoresistance of electrically gated graphene ribbon with lateral interface under magnetic field
• Coupled system of Dirac fermions with different Fermi velocities via composites of SUSY operators
• Scattering states of a vortex in the proximity-induced superconducting state at the interface of a topological insulator and an s-wave superconductor
• Graphene-based Bolometers
• Unified Formula for Stationary Josephson Current in Planar Graphene Junctions
• Spatial separation of spin currents in transition metal dichalcogenides
• Role of electrical field in quantum Hall effect of graphene
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal
• Observation of angle-dependent transmission of Dirac electrons in graphene hetero junctions
• Mode-selective cloaking and phase-matching cavity resonances in bilayer graphene transport
• Short-distance Schwinger-mechanism and chiral symmetry
• Mode-Resolved Multiband Ballistic Transport and Conductance Thresholds in Bilayer Graphene Junctions
• Casimir effect in Josephson junctions
• Nonlinear Optical Conductivity in Graphene and other 2-Band 2-D Materials
• Confinement in a magnetically induced WSe${}_2$ quantum dots
• Aharonov-Bohm and relativistic Corbino effects in graphene: A comparative study of two quantum interference phenomena
• Connection between the semiconductor--superconductor transition and the spin-polarized superconducting phase in the honeycomb lattice
• Quantum Otto engines at relativistic energies
• Anomalous Induced Density of Supercritical Coulomb Impurities in Graphene Under Strong Magnetic Fields
• Access to Klein Tunneling via Space-Time Modulation
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry
• Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect
• Dynamical conductivity of gated AA-stacking multilayer graphene with spin-orbital coupling
• Chiral Bloch states in single layer graphene with Rashba spin-orbit coupling: Spectrum and spin current density
• Bag boundaries for quasispinor confinement within nanolanes on a graphene sheet
• Persistent current-carrying state of charge quasuparticles in $np$-ribbon featuring single Dirac cone
• Magnetic control of Goos-Hänchen shifts and group delay time in monolayer WSe${}_2$
• Poor-man's Majorana edge mode enabled by specular Andreev reflection
• Gate-tunable spin-valley transport via carrier velocity in monolayer WSe${}_2$
• Dynamics of quasi-particles in graphene with impurities and sharp edges from the kp method standpoint
• On two-dimensional Dirac operators with critical delta-shell interactions
• Coupling of Klein-Andreev Resonant States in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$-graphene-Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$ Devices
• Shot noise of the conductance through a superconducting barrier in graphene
• Josephson Current in Ballistic Graphene Corbino Disk
• Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization