Electronic properties of graphene-based bilayer systems

Abstract

This article reviews the theoretical and experimental work related to the electronic properties of bilayer graphene systems. Three types of bilayer stackings are discussed: the AA, AB, and twisted bilayer graphene. This review covers single-electron properties, effects of static electric and magnetic fields, bilayer-based mesoscopic systems, spin-orbit coupling, dc transport and optical response, as well as spontaneous symmetry violation and other interaction effects. The selection of the material aims to introduce the reader to the most commonly studied topics of theoretical and experimental research in bilayer graphene.

review paper, very close to published version, several new references added, misprints corrected; overall 132 pages, 59 figures, 450 references

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• Room-Temperature Quantum Hall Effect in Graphene
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
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• Measurement of the Optical Conductivity of Graphene
• Valley filter and valley valve in graphene
• Gate-induced insulating state in bilayer graphene devices
• Asymmetry gap in the electronic band structure of bilayer graphene
• Carrier transport in 2D graphene layers
• The electronic properties of bilayer graphene
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• Universal dynamical conductance in graphite
• Flat Bands in Slightly Twisted Bilayer Graphene
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• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Continuum Model of the Twisted Bilayer
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• Topological confinement in bilayer graphene
• Multicomponent fractional quantum Hall effect in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Strong Coulomb drag and broken symmetry in double-layer graphene
• Optical and magneto-optical far-infrared properties of bilayer graphene
• Probing the Electronic Structure of Bilayer Graphene by Raman Scattering
• Is graphene in vacuum an insulator?
• Electronic properties of bilayer and multilayer graphene
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Numerical studies of confined states in rotated bilayers of graphene
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
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• Reduction of Fermi velocity in folded graphene observed by resonance Raman spectroscopy
• Tight--binding description of the quasiparticle dispersion of graphite and few--layer graphene
• On resonant scatterers as a factor limiting carrier mobility in graphene
• Modeling electronic structure and transport properties of graphene with resonant scattering centers
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• Energy gap tuning in graphene on hexagonal boron nitride bilayer system
• Electronic Transport in Dual-gated Bilayer Graphene at Large Displacement Fields
• Magneto-optical properties of multilayer graphenes
• Quantum Anomalous Hall State in Bilayer Graphene
• Exciton Condensation and Perfect Coulomb Drag
• Raman spectra of misoriented bilayer graphene
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• Electronic Highways in Bilayer Graphene
• Cyclotron resonance in bilayer graphene
• Quasi-bound states of quantum dots in single and bilayer graphene
• Strong covalent bonding between two graphene layers
• Controlling Energy Gap of Bilayer Graphene by Strain
• Infrared spectroscopy of electronic bands in bilayer graphene
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Optical conductivity of bilayer graphene with and without an asymmetry gap
• Ballistic transmission through a graphene bilayer
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Energy gaps, magnetism, and electric field effects in bilayer graphene nanoribbons
• Characterization of graphene through anisotropy of constant-energy maps in angle-resolved photoemission
• Localized states at zigzag edges of bilayer graphene
• Boltzmann transport and residual conductivity in bilayer graphene
• Low density ferromagnetism in biased bilayer graphene
• Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
• Lattice Theory of Pseudospin Ferromagnetism in Bilayer Graphene: Competing Orders and Interaction Induced Quantum Hall States
• Dynamical conductivity of AA-stacked bilayer graphene
• Minimal conductivity in bilayer graphene
• Minimum Conductivity and Evidence for Phase Transitions in Ultra-clean Bilayer Graphene
• Role of the trigonal warping on the minimal conductivity of bilayer graphene
• Dynamic Screening and Low Energy Collective Modes in Bilayer Graphene
• Topologically Protected Zero Modes in Twisted Bilayer Graphene
• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
• Strained bilayer graphene: Band structure topology and Landau level spectrum
• Effect of disorder on a graphene p-n junction
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Gate defined zero- and one-dimensional confinement in bilayer graphene
• Electronic transport through bilayer graphene flakes
• Optical Conductivity of Twisted Bilayer Graphene
• Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
• Measurement of the electronic compressibility of bilayer graphene
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Electronic multicriticality in bilayer graphene
• Magneto-optical Selection Rules in Bilayer Bernal Graphene
• Superlattice structures in twisted bilayers of folded graphene
• Spin-orbit coupling in a graphene bilayer and in graphite
• Electronic Hybridization of Large-Area Stacked Graphene Films
• Terahertz conductivity of twisted bilayer graphene
• Band topology and quantum spin Hall effect in bilayer graphene
• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Fermi Velocity Enhancement in Monolayer and Bilayer Graphene
• Hofstadter butterflies of bilayer graphene
• Electronic properties of the armchair graphene nanoribbon
• Transport Gap in Suspended Bilayer Graphene at Zero Magnetic Field
• Angle-Dependent van Hove Singularities and Their Breakdown in Twisted Graphene Bilayers
• Controllable, driven phase transitions in the Fractional quantum Hall states in bilayer graphene
• Long range Coulomb interaction in bilayer graphene
• Exciton formation in graphene bilayer
• Electromechanical Oscillations in Bilayer Graphene
• Finite Conductivity Minimum in Bilayer Graphene without Charge Inhomogeneities
• Optical absorption of twisted bilayer graphene with interlayer potential asymmetry
• Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field
• Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Electron Interactions in Bilayer Graphene: Marginal Fermi Liquid Behaviour and Zero Bias Anomaly
• Probing electronic excitations in mono- to pentalayer graphene by micro-magneto-Raman spectroscopy
• Gap state analysis in electric-field-induced band gap for bilayer graphene
• Insulating behavior in metallic bilayer graphene: Interplay between density inhomogeneity and temperature
• Electronic compressibility of a graphene bilayer
• AA-stacked bilayer graphene in an applied electric field: Tunable antiferromagnetism and coexisting exciton order parameter
• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Non-Fermi Liquid behavior in Neutral Bilayer Graphene
• Ordered Loop Current States in Bilayer Graphene
• The Coexistence of van Hove Singularities and Superlattice Dirac Points in a Slightly Twisted Graphene Bilayer
• Spin Symmetry of the Bilayer Graphene Groundstate
• Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
• Gapped phase in AA stacked bilayer graphene
• Point Defects in Twisted Bilayer Graphene: A Density Functional Theory Study
• Energy spectrum and Landau levels in bilayer graphene with spin-orbit interaction
• Electrically tunable plasma excitations in AA-stacking multilayer graphene
• Formation of p-n junction in polymer electrolyte-top gated bilayer graphene transistor
• Gaped graphene bilayer: disorder and magnetic field effects
• Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene
• Localized plasmons in bilayer graphene nanodisks
• Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
• Coexistence and competition of nematic and gapped states in bilayer graphene
• Inter-band magnetoplasmons in mono- and bi-layer graphene
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Homogeneity of Bilayer Graphene
• Ab-initio analysis of superstructures revealed by STM on bilayer graphene
• Robustness of the optical-conductivity sum rule in Bilayer Graphene
• Unipolar transport in bilayer graphene controlled by multiple p-n interfaces
• Probing Layer Localization in Twisted Graphene Bilayers via Cyclotron Resonance
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study
• Band structure asymmetry of bilayer graphene revealed by infrared spectroscopy
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Monte-Carlo study of the phase transition in the AA-stacked bilayer graphene

Cited by in corpus (177)

• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization not Mott Insulation
• Electrically controllable magnetism in twisted bilayer graphene
• Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: a Hartree-Fock study
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Helical Network Model for Twisted Bilayer Graphene
• Electrically tunable gauge fields in tiny-angle twisted bilayer graphene
• Magic configurations in Moiré Superlattice of Bilayer Photonic crystal: Almost-Perfect Flatbands and Unconventional Localization
• A Two-dimensional Dirac fermion microscope
• Interfacial and Electronic Properties of Heterostructures of MXene and Graphene
• High-Harmonic Generation from Monolayer and Bilayer Graphene
• Magic-angle Bilayer Phononic Graphene
• The Electronic Thickness of Graphene
• Bilayer Photonic Graphene
• Momentum space quantum Monte Carlo on twisted bilayer Graphene
• Gap Opening in Twisted Double Bilayer Graphene by Crystal fields
• Magnus Hall Effect
• Twisting Dirac fermions: Circular dichroism in bilayer graphene
• Electrotunable artificial molecules based on van der Waals heterostructures
• van der Waals metamaterials
• DC conductivity of twisted bilayer graphene: Angle-dependent transport properties and effects of disorder
• Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene
• Electronic phase separation: recent progress in the old problem
• Simulating Chern insulators on a superconducting quantum processor
• Band-unfolding approach to Moirè-induced band-gap opening and Fermi-level-velocity reduction in twisted bilayer graphene
• Magnus Nernst and thermal Hall effect
• Externally controlled band gap in twisted bilayer graphene
• Quantum simulation of topological zero modes on a 41-qubit superconducting processor
• Emergent geometric frustration and flat band in moiré bilayer graphene
• Effect of bilayer stacking on the atomic and electronic structure of twisted double bilayer graphene
• Many-body effects in twisted bilayer graphene at low twist angles
• Ultra-Strong Spin-Orbit Coupling and Topological Moiré Engineering in Twisted ZrS2 Bilayers
• Twistronics in graphene-based van der Waals structures
• Transport across twist angle domains in moiré graphene
• Collective excitations and plasmon spectrum in twisted bilayer graphene near the magic angle
• Charged fermion in $(1+2)$-dimensional wormhole with axial magnetic field
• Dynamical properties of collective excitations in twisted bilayer Graphene
• Spin-valley half-metal as a prospective material for spin-valley-tronics
• Hofstadter butterfly and the quantum Hall effect in twisted double bilayer graphenes
• Symmetry of superconducting correlations in displaced bilayers of graphene
• Marginal Fermi liquid in twisted bilayer graphene
• Single-electron gap in the spectrum of twisted bilayer graphene
• Bulk and Edge Properties of Twisted Double-Bilayer Graphene
• Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures
• Antichiral states in twisted graphene multilayers
• Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state
• Valley-polarization in biased bilayer graphene using circularly polarized light
• Coupling graphene nanomechanical motion to a single-electron transistor
• Metal-insulator transition and dominant $d+id$ pairing symmetry in twisted bilayer graphene
• Spin density wave and electron nematicity in magic-angle twisted bilayer graphene
• Quantum critical behavior of two-dimensional Fermi systems with quadratic band touching
• Theory of Emergent Josephson Lattice in Neutral Twisted Bilayer Graphene (Moiŕe is Different)
• Lattice-layer entanglement in Bernal-stacked bilayer graphene
• Quantum Monte Carlo sign bounds, topological Mott insulator and thermodynamic transitions in twisted bilayer graphene model
• Enhanced Specular Andreev reflection in bilayer graphene
• Nonlinear Graphene Quantum Capacitors for Electro-optics
• Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model
• Quantum Monte Carlo study of superconductivity in rhombohedral trilayer graphene under an electric field
• Fermion sign bounds theory in quantum Monte Carlo simulation
• Topological Magnus responses in two and three dimensional systems
• Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional scalar potential
• Band gap engineering in AA-stacked bilayer graphene
• Ferrimagnetic and antiferromagnetic phase in bilayer graphene nanoflake controlled with external electric fields
• Kitaev spin-orbital bilayers and their moiré superlattices
• Electric Field Tunable Band Gap in Commensurate Twisted Bilayer Graphene
• Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
• Unfolding energy spectra of multi-periodicity materials
• Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
• Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-Stückelberg-Majorana interferometry
• Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
• Disorder-induced dephasing in backscattering-free quantum transport
• Surfactant-Mediated Epitaxial Growth of Single-Layer Graphene in an Unconventional Orientation on SiC
• Electron collimation at van der Waals domain walls in bilayer graphene
• Spin-valley half-metal in systems with Fermi surface nesting
• Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
• Trigonal Warping, Satellite Dirac Points and Multiple Field Tuned Topological Transitions in Twisted Double Bilayer Graphene
• Van der Waals interlayer potential of graphitic structures: from Lennard-Jones to Kolmogorov-Crespy and Lebedeva models
• Reducible Fermi surface for multi-layer quantum graphs including stacked graphene
• Coherent Charge Oscillations in a Bilayer Graphene Double Quantum Dot
• Gate-controlled transmission of quantum Hall edge states in bilayer graphene
• Electric field-tunable layer polarization in graphene/boron nitride twisted quadrilayer superlattices
• Terahertz Circular Dichroism in Commensurate Twisted Bilayer Graphene
• Josephson effect in graphene bilayers with adjustable relative displacement
• Nonlinear intensity dependence of photogalvanics and photoconductance induced by terahertz laser radiation in twisted bilayer graphene close to magic angle
• Time-evolution patterns of electrons in twisted bilayer graphene
• Transport Properties in Gapped Bilayer Graphene
• Scattering on a rectangular potential barrier in nodal-line Weyl semimetals
• Tunable band gap in twisted bilayer graphene
• Magnetic field effects in electron systems with imperfect nesting
• Angle-dependent electron confinement in graphene moiré superlattices
• Electronic Ground State in Bilayer Graphene with Realistic Coulomb Interactions
• Parallel transport and layer-resolved thermodynamic measurements in twisted bilayer graphene
• Triplet superconductivity and spin density wave in biased AB bilayer graphene
• Antiferromagnetic ordering and excitonic pairing in the AA-stacked bilayer graphene
• Can bilayer graphene become a fractional metal?
• Graphene lattice-layer entanglement under non-Markovian phase noise
• Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene
• Twisted bilayer graphene: low-energy physics, electronic and optical properties
• A DFT study on the electronic and magnetic properties of triangular graphene antidot lattices
• Transport signatures of Van Hove singularities in mesoscopic twisted bilayer graphene
• Molecular Switching Operation in Gate Constricted Interface of MoS${}_2$ and hBN Heterostructure
• Composition and Stacking Dependent Topology in Bilayers from the Graphene Family
• Scattering of topological kink-antikink states in bilayer graphene structures
• Half-metal and other fractional metal phases in doped AB bilayer graphene
• Proximity-induced diversified magnetic states and electrically-controllable spin polarization in bilayer graphene: Towards layered spintronics
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Berry curvature and shift vector effects at high-order wave mixing in biased bilayer graphene
• In-plane magnetoelectric response in bilayer graphene
• Valley polarization, magnetization, and superconductivity in bilayer graphene near the van Hove singularity
• Charge distribution and spin textures in magic-angle twisted bilayer graphene
• Transport properties of hybrid single-bilayer graphene interfaces in magnetic field
• Ultrafast valley polarization in bilayer graphene
• Excitonic condensation and metal-semiconductor transition in AA bilayer graphene in the external magnetic field
• Probing the bright exciton state in twisted bilayer graphene via resonant Raman scattering
• Magnetic-Field-Induced Wigner Crystallization of Charged Interlayer Excitons in van der Waals Heterostructures
• Evidence for flat zero-energy bands in bilayer graphene with a periodic defect lattice
• Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
• Magic radius of AA bilayer graphene quantum dot
• Ordering in SU(4)-symmetric model of AA bilayer graphene
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Boron nitride on SiC(0001)
• Quasi-free-standing AA-stacked bilayer graphene induced by calcium intercalation of the graphene-silicon carbide interface
• Magnon bands in twisted bilayer honeycomb quantum magnets
• Bilayer graphene in strong ultrafast laser fields
• Confined states in graphene quantum blisters
• Mobility gap and quantum transport in functionalized graphene bilayer
• Phase-space elementary information content of confined Dirac spinors
• Gate-induced half-metals in Bernal stacked graphene multilayer
• Tunable nonlinear excitonic optical response in biased bilayer graphene
• Substrate effects on transport properties of a biased AA-stacked bilayer graphene
• Exotic quantum light-matter interactions in bilayer square lattices
• Realization and transport investigation of a single layer-twisted bilayer graphene junction
• Coexistence of nematic superconductivity and spin density wave in magic-angle twisted bilayer graphene
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Spin-density wave state in simple hexagonal graphite
• Transport properties of vertical heterostructures under light irradiation
• Capturing magic angles in twisted bilayer graphene from information theory markers
• Second and third harmonics generation by coherent sub-THz radiation at induced Lifshitz transitions in gapped bilayer graphene
• Superconductivity and spin density wave in AA stacked bilayer graphene
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Collective magnetic excitations in AA- and AB-stacked graphene bilayers
• Stoner ferromagnetism in low-angle twisted bilayer graphene at three-quarters filling
• Programmable Kondo Effect Formed by Landau Levels
• Geometry effects in topologically confined bilayer graphene loops
• Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model
• Magnus spin Hall and spin Nernst effects in gapped 2D Rashba systems
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Conductance of electrostatic wire junctions in bilayer graphene
• Dynamical freezing and switching in periodically driven bilayer graphene
• Voltage Tunable Plasmon Propagation in Dual Gated Bilayer Graphene
• Wavefront dislocations in graphene systems revealed by transport measurement
• Acoustic plasmons in graphene sandwiched between two metallic slabs
• Spontaneous charge-ordered state in Bernal-stacked bilayer graphene
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Trivial and topological bound states in bilayer graphene quantum dots and rings
• Brillouin zone folding method for quasiperiodic superconductivity in multilayer systems: application to electronic structure and optical responses
• Quantization and quantum oscillations of the sublattice charge order in Dirac insulators
• Nesting-driven ferromagnetism of itinerant electrons
• Terahertz Landau level spectroscopy of Dirac fermions in millimeter-scale twisted bilayer graphene
• Merged Four Dirac Points at the Critical Interlayer Distance in Commensurately Twisted Bilayer Graphene: the Origin of the Zero Velocity
• Density of states in the bilayer graphene with the excitonic pairing interaction
• Ordered states in AB bilayer graphene in SU(4)-symmetric model
• A Lorentz-violating low-energy model for the bilayer Graphene
• Magnetic ordering tendencies in hexagonal boron nitride-bilayer graphene moiré structures
• Layer-splitting methods for time-dependent Schrödinger equations of incommensurate systems
• Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
• Electronic states in a superlattice consisting of alternating strips of single-layer and bilayer graphene
• Strain-induced stacking transition in bilayer graphene
• Electrostatic tuning of bilayer graphene edge modes
• Photon-mediated electronic correlation effects in irradiated two-dimensional Dirac systems
• Atomic frustration-based twistronics
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Physical Mechanism of Superconductivity Part II Superconductivity and Superfluidity
• Renormalization group approach to the elastic properties of graphene bilayers
• Ordered states of undoped AB bilayer graphene: bias induced cascade of transitions
• Superconducting Symmetry Phases and Dominant bands in (Ca-) Intercalated AA- Bilayer Graphene