Electronic states and Landau levels in graphene stacks
arXiv:cond-mat/0604396 · doi:10.1103/PhysRevB.73.245426
Abstract
We analyze, within a minimal model that allows analytical calculations, the electronic structure and Landau levels of graphene multi-layers with different stacking orders. We find, among other results, that electrostatic effects can induce a strongly divergent density of states in bi- and tri-layers, reminiscent of one-dimensional systems. The density of states at the surface of semi-infinite stacks, on the other hand, may vanish at low energies, or show a band of surface states, depending on the stacking order.
References in corpus (11)
- Electric Field Effect in Atomically Thin Carbon Films
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Two Dimensional Atomic Crystals
- Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Electronic Properties of Disordered Two-Dimensional Carbon
- Induced Magnetic Ordering by Proton Irradiation in Graphite
- Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
- Two Dimensional Electron and Hole Gases at the Surface of Graphite
Cited by in corpus (312)
- The electronic properties of graphene
- Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
- Graphene bilayer with a twist: electronic structure
- Asymmetry gap in the electronic band structure of bilayer graphene
- Properties of Graphene: A Theoretical Perspective
- The electronic properties of bilayer graphene
- The Shear Mode of Multi-Layer Graphene
- Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
- Observation of an electrically tunable band gap in trilayer graphene
- Landau level spectroscopy of ultrathin graphite layers
- Scanning Tunneling Spectroscopy of Graphene on Graphite
- High-temperature surface superconductivity in topological flat-band systems
- Stacking-Dependent Band Gap and Quantum Transport in Trilayer Graphene
- Colloquium: Spintronics in graphene and other two-dimensional materials
- Electron transport in disordered graphene
- Superconducting states of pure and doped graphene
- Band Structure of ABC-Stacked Graphene Trilayers
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Optical and magneto-optical far-infrared properties of bilayer graphene
- Observation of Landau levels of Dirac fermions in graphite
- Dependence of band structures on stacking and field in layered graphene
- Tuneable electronic properties in graphene
- Electronic Structure of Few-Layer Graphene: Experimental Demonstration of Strong Dependence on Stacking Sequence
- Electronic properties of bilayer and multilayer graphene
- Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
- Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
- Flat bands in topological media
- Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
- Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene
- Quantum Hall effect and Landau level crossing of Dirac fermions in trilayer graphene
- Existence and topological stability of Fermi points in multilayered graphene
- Chiral Decomposition in the Electronic Structure of Graphene Multilayers
- Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
- Elastic scattering theory and transport in graphene
- Interlayer screening effect in graphene multilayers with ABA and ABC stacking
- Magneto-optical properties of multilayer graphenes
- Anomalous orbital magnetism in Dirac-electron systems: Role of pseudo-spin paramagnetism
- Electron-Phonon Coupling and Raman Spectroscopy in Graphene
- The experimental observation of quantum Hall effect of l = 3 chiral charge carriers in trilayer graphene
- Graphene Physics in Graphite
- Electrically tunable transverse magnetic focusing in graphene
- Infrared spectroscopy of electronic bands in bilayer graphene
- Symmetry Breaking in Few Layer Graphene Films
- Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
- The structural properties of the multi-layer graphene/4H-SiC(000-1) system as determined by Surface X-ray Diffraction
- Van der Waals spin valves
- Stacking Order dependent Electric Field tuning of the Band Gap in Graphene Multilayers
- A Tunable Phonon-Exciton Fano System in Bilayer Graphene
- Pseudospin valve in bilayer graphene: towards graphene-based pseudospintronics
- Dirac electronic states in graphene systems: Optical spectroscopy studies
- Morphology of graphene thin film growth on SiC(0001)
- Gate-induced interlayer asymmetry in ABA-stacked trilayer graphene
- Ab-initio study of gap opening and screening effects in gated bilayer graphene
- Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
- Charge distribution and screening in layered graphene systems
- Characterization of graphene through anisotropy of constant-energy maps in angle-resolved photoemission
- Electronic properties of a biased graphene bilayer
- Low density ferromagnetism in biased bilayer graphene
- Transmission through a biased graphene bilayer barrier
- Microscopic Polarization in Bilayer Graphene
- Band Symmetries and Singularities in Twisted Multilayer Graphene
- Stacking-symmetry governed second harmonic generation in graphene trilayers
- Raman Signatures of Polytypism in Molybdenum Disulfide
- High-Energy Limit of Massless Dirac Fermions in Multilayer Graphene using Magneto-Optical Transmission Spectroscopy
- Second harmonic generation in multilayer graphene induced by direct electric current
- Landau Level Spectrum of ABA- and ABC-stacked Trilayer Graphene
- Inducing energy gaps in graphene monolayer and bilayer
- Layer breathing modes in few-layer graphene
- Electron quantum metamaterials in van der Waals heterostructures
- Parity and valley degeneracy in multilayer graphene
- Stacking-order dependent transport properties of trilayer graphene
- High-temperature surface superconductivity in rhombohedral graphite
- Electric Field Control of Soliton Motion and Stacking in Trilayer Graphene
- Electronic transport through bilayer graphene flakes
- Impurities in a Biased Graphene Bilayer
- Accurate determination of electron-hole asymmetry and next-nearest neighbor hopping in graphene
- Integer Quantum Hall Effect in Trilayer Graphene
- Electric transport and magnetic properties in multilayer graphene
- Excitation Energy Dependent Raman Signatures of ABA- and ABC-stacked Few-layer Graphene
- Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
- Magnetospectroscopy of epitaxial few-layer graphene
- Landau level spectra and the quantum Hall effect of multilayer graphene
- Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
- Electronic Transport in Disordered Bilayer and Trilayer Graphene
- Tunable Excitons in Biased Bilayer Graphene
- Transmission through a boundary between monolayer and bilayer graphene
- Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
- Spin-orbit coupling in a graphene bilayer and in graphite
- Fermi Liquid Theory of a Fermi Ring
- Networks of ABA and ABC stacked graphene on mica observed by scanning tunneling microscopy
- Revealing the electronic band structure of trilayer graphene on SiC: An angle-resolved photoemission study
- Electron-hole collision limited transport in charge-neutral bilayer graphene
- Dodecagonal bilayer graphene quasicrystal and its approximants
- Magnetoconductance Oscillations in High-Mobility Suspended Bilayer and Trilayer Graphene
- Landau Quantization and Fermi Velocity Renormalization in Twisted Graphene Bilayers
- Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
- Structurally Dependent Fano Resonances in the Infrared Spectra of Phonons in Few-Layer Graphene
- Rashba and intrinsic spin-orbit interactions in biased bilayer graphene
- Strain-induced band gaps in bilayer graphene
- Twists and The Electronic Structure of Graphitic Materials
- Electromagnetic field induced suppression of transport through - junctions in graphene
- Dissipation in graphene and nanotube resonators
- Magnon Hall effect in AB-stacked bilayer honeycomb quantum magnets
- Graphene-based Antennas for Terahertz Systems: A Review
- Hofstadter butterflies of bilayer graphene
- Reversible modifications of linear dispersion - graphene between boron nitride monolayers
- Multi-component magneto-optical conductivity of multilayer graphene on SiC
- Thermopower of gapped bilayer graphene
- Novel mid-infrared plasmonic properties of bilayer graphene
- Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene
- Intrinsic Zeeman Effect in Graphene
- Multilayer graphene under vertical electric field
- Emergent Dirac gullies and gully-symmetry breaking quantum Hall states in ABA trilayer graphene
- Insulating state in tetralayers reveals an even-odd interaction effect in multilayer graphene
- Local Spectroscopy of the Electrically Tunable Band Gap in Trilayer Graphene
- Quantum Hall Effect and Semimetallic Behavior of Dual-Gated ABA-Stacked Trilayer Graphene
- Density-functional investigation of rhombohedral stacks of graphene: topological surface states, nonlinear dielectric response, and bulk limit
- Tight-binding description of intrinsic superconducting correlations in multilayer graphene
- Gapped broken symmetry states in ABC trilayer graphene
- New Dirac points and multiple Landau level crossings in biased trilayer graphene
- Screening-Induced Transport at Finite Temperature in Bilayer Graphene
- Multilayer graphenes as a platform for interaction-driven physics and topological superconductivity
- Current-temperature scaling for a Schottky interface with non-parabolic energy dispersion
- A new type of vacancy-induced localized states in multilayer graphene
- Direct observation of a gate tunable band-gap in electrical transport in ABC-trilayer graphene
- Universal phase diagrams with superconducting domes for electronic flat bands
- Stacking Faults, Bound States, and Quantum Hall Plateaus in Crystalline Graphite
- Pedestrian index theorem a la Aharonov-Casher for bulk threshold modes in corrugated multilayer graphene
- Electronic properties of monolayer and bilayer graphene
- Interlayer Coupling in Two-Dimensional Semiconductor Materials
- Electron-electron interactions in graphene bilayers
- Coherent Graphene Devices: Movable Mirrors, Buffers and Memories
- Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
- Interface Landau levels in graphene monolayer-bilayer junction
- A Family of Finite-Temperature Electronic Phase Transitions in Graphene Multilayers
- Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals
- Broken Symmetry Quantum Hall States in Dual Gated ABA Trilayer Graphene
- Effective Landau Level Diagram of Bilayer Graphene
- Influence of rhombohedral stacking order in the electrical resistance of bulk and mesoscopic graphite
- Magneto-transport phenomena of type-I multi-Weyl semimetals in co-planar setups
- Friedel oscillations at the surfaces of rhombohedral -layer graphene
- Multilayer graphenes with mixed stacking structure: interplay of Bernal and rhombohedral stacking
- Spin-orbit coupling and broken spin degeneracy in multilayer graphene
- Landau level splittings, phase transitions, and non-uniform charge distribution in trilayer graphene
- Topologically confined states at corrugations of gated bilayer graphene
- Thermo-electric transport properties of Floquet multi-Weyl Semimetals
- Electrical transport in suspended and double gated trilayer graphene
- Energy spectrum of graphene multilayers in a parallel magnetic field
- Direct Probing Stacking Order and Electronic Spectrum of Rhombohedral Trilayer Graphene with Scanning Tunneling Microscopy
- Supersymmetry and Unconventional Quantum Hall Effect in Graphene
- Plasmonic physics of 2D crystalline materials
- Ab initio quasiparticle bandstructure of ABA and ABC-stacked graphene trilayers
- Supersymmetry and Correlated Electrons in Graphene Quantum Hall Effect
- Dynamical Floquet spectrum of Kekulé-distorted graphene under normal incidence of electromagnetic radiation
- Visualizing Atomic-Scale Negative Differential Resistance in Bilayer Graphene
- Evolution and dimensional crossover from the bulk subbands in ABC-stacked graphene to a three-dimensional Dirac cone structure in rhombohedral graphite
- Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
- Valley symmetry breaking in bilayer graphene: a test to the minimal model
- Stacking order, interaction and weak surface magnetism in layered graphene sheets
- Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
- On the inner Double-Resonance Raman scattering process in bilayer graphene
- Surface superconductivity in multilayered rhombohedral graphene: Supercurrent
- Magnetic ratchet effect in bilayer graphene
- Imaging Stacking Order in Few-Layer Graphene
- Influence of interlayer asymmetry on magneto-spectroscopy of bilayer graphene
- Disorder-induced tail states in a gapped bilayer graphene
- Gap Opening by Asymmetric Doping in Graphene Bilayers
- Distinct Competing Ordered ν=2 States in Bilayer Graphene
- Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems
- Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
- Gate-induced Dirac cones in multilayer graphenes
- Tunable symmetries of integer and fractional quantum Hall phases in heterostructures with multiple Dirac bands
- The discovery of three-dimensional Van Hove singularity
- Observation of Chirality Transition of Quasiparticles at Stacking Solitons in Trilayer Graphene
- Gaped graphene bilayer: disorder and magnetic field effects
- Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene
- Chiral orbital current and anomalous magnetic moment in gapped graphene
- Flat band electrons and interactions in rhombohedral trilayer graphene
- Electronic conductance of twisted bilayer nanoribbon flakes
- Stacking-dependent electronic property of trilayer graphene epitaxially grown on Ru(0001)
- Chiral tunneling in trilayer graphene
- Low-energy band structure and even-odd layer number effect in AB-stacked multilayer graphene
- Enhanced Optical Conductivity Induced by Surface States in ABC-stacked Few-Layer Graphene
- Polarizability and Screening in Chiral Multilayer Graphene
- Interaction-induced insulating state in thick multilayer graphene
- Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
- Coupling, merging, and splitting Dirac points by electron-electron interaction
- Semiclassical Boltzmann transport theory for graphene multilayers
- Fermions with cubic and quartic spectrum
- Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene
- Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach
- Chiral symmetry and its manifestation in optical responses in graphene: interaction and multi-layers
- Electrostatic and Magnetic Fields in Bilayer Graphene
- Tunable Infrared Phonon Anomalies in Trilayer Graphene
- Quantum transport in double-gated graphene devices
- Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
- Magnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons
- Multiband tunneling in trilayer graphene
- Electronic Raman Scattering in Twistronic Few-Layer Graphene
- Spectroscopic Signatures of Electronic Excitations in Raman Scattering in Thin Films of Rhombohedral Graphite
- Transport Measurement of Landau level Gaps in Bilayer Graphene
- Fine structure of the lowest Landau level in suspended trilayer graphene
- Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals
- Room-temperature Tunable Fano Resonance by Chemical Doping in Few-layer Graphene Synthesized by Chemical Vapor Deposition
- Phase diagram of insulating crystal and quantum Hall states in ABC-stacked trilayer graphene
- Excitonic gap formation and condensation in the bilayer graphene structure
- Gate Tunable Magnetism and Giant Magnetoresistance in ABC-stacked Few-Layer Graphene
- Equilibration of Quantum hall edges in symmetry broken bilayer graphene
- Polarization-sensitive absorption of THz radiation by interacting electrons in chirally stacked multilayer graphene
- High harmonic generation in triangular graphene quantum dots
- Inter-subband Landau level couplings induced by in-plane magnetic fields in trilayer graphene
- Landau level diagram and the continuous rotational symmetry breaking in trilayer graphene
- Transversal electric field effect in multilayer graphene nanoribbon
- Interaction-induced insulating states in multilayer graphenes
- Tight-binding study of bilayer graphene Josephson junctions
- Electrons trapped in graphene magnetic quantum dots with mass term
- Valley and spin polarization from graphene line defect scattering
- Gap generation in ABC-stacked multilayer graphene: screening vs band flattening
- Moiré Flat Bands of Twisted Few-layer Graphite
- Transport properties of multilayer graphene
- Theory of inter-Landau level magnetoexcitons in bilayer graphene
- Photocurrent generation at ABA/ABC lateral junction in tri-layer graphene photodetector
- Electronic transport of folded graphene nanoribbons
- Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
- Thermopower of multilayer graphene
- Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
- Collective amplitude mode fluctuations in a flat band superconductor
- Quantum corrections in the Boltzmann conductivity of graphene and their sensitivity to the choice of formalism
- Diamagnetic levitation and thermal gradient driven motion of graphite
- Stacking-order dependence in thermoelectric transport of biased trilayer graphene
- Spintronics in 2D graphene-based van der Waals heterostructures
- Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
- Multilayer graphene nanoribbon under vertical electric field
- Topology of quantum vacuum
- Sorption of 4He, H2, Ne, N2, CH4 and Kr impurities in graphene oxide at low temperatures. Quantum effects
- Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
- Vacancy induced zero energy modes in graphene stacks: The case of ABC trilayer
- Third harmonic generation in gapped bilayer graphene
- Carrier concentrations and optical conductivity of a band-inverted semimetal in two and three dimensions
- Mott correlations in ABC graphene trilayer aligned with hBN
- Ultra-high magnetic field study of the layer split bands in Graphite
- Energetics of complex phase diagram in a tunable bilayer graphene probed by quantum capacitance
- Gully quantum Hall ferromagnetism in biased trilayer graphene
- Infrared spectroscopy of hole doped ABA-stacked trilayer graphene
- Observation of Tunneling Current in Semiconducting Graphene p-n Junctions
- Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
- Berry curvature and shift vector effects at high-order wave mixing in biased bilayer graphene
- Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
- First order ferromagnetic phase transition in the low electronic density regime of a biased graphene bilayer
- Low energy band structure in Bernal stacked hexlayer graphene: Landau fan diagram and resistance ridge
- Quantum quench dynamics and population inversion in bilayer graphene
- Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
- Electron heating and mechanical properties of graphene
- Electronic Structures and Their Landau Quantizations in Twisted Graphene Bilayer and Trilayer
- Angle Dependent Interlayer Magnetoresistance (ILMR) in Multilayer Graphene Stacks
- ABC-stacked multilayer graphene in holography
- Mean-field quantum phase transition in graphene and in general gapless systems
- Thermodynamic properties of the electron gas in multilayer graphene in the presence of a perpendicular magnetic field
- Broken sublattice symmetry states in Bernal stacked multilayer graphene
- Chiral properties of graphene h-BN hybrid systems
- Electron trapping in graphene quantum dots with magnetic flux
- Tunable nonlinear excitonic optical response in biased bilayer graphene
- Counter-propagating Fractional Hall states in mirror-symmetric Dirac semi-metals
- h-BN layer induced chiral decomposition in the electronic properties of multilayer graphene
- Gate-induced half-metals in Bernal stacked graphene multilayer
- Anomalous superconductivity and superfluidity in repulsive fermion systems
- Direct-exchange duality of the Coulomb interaction and collective excitations in graphene in a magnetic field
- Electron transmission through the stacking domain boundary in multilayers graphene
- Transmission in graphene-topological insulator heterostructures
- Ballistic charge transport in chiral-symmetric few-layer graphene
- Anisotropic resistivity of the monolayer graphene in the trigonal warping and connected Fermi curve regimes
- Superconducting current and proximity effect in ABA and ABC multilayer graphene Josephson junctions
- Electronic and optical properties in graphane
- Disorder induced field effect transistor in bilayer and trilayer graphene
- Theory of Conductivity of Chiral Particles
- Microscopic lattice model for quartic semi-Dirac fermions in two dimensions
- Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
- Anti-screening and nonequilibrium layer electric phases in graphene multilayers
- Second and third harmonics generation by coherent sub-THz radiation at induced Lifshitz transitions in gapped bilayer graphene
- Fano-shaped impurity spectral density, electric-field-induced in-gap state and local magnetic moment of an adatom on trilayer graphene
- Electronic transport of bilayer graphene with asymmetry line defects
- Particle-hole symmetry and bifurcating ground state manifold in the quantum Hall ferromagnetic states of multilayer graphene
- Topological frequency conversion in rhombohedral multilayer graphene
- Optical Properties of Graphene in Magnetic and Electric fields
- Andreev Reflection without Fermi surface alignment in High T-Topological heterostructures
- Edge states of graphene bilayer strip
- Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene
- Electrical Contacts to Three-Dimensional Arrays of Carbon Nanotubes
- Electronic structure of interfaces between hexagonal and rhombohedral graphite
- Quasiparticle renormalization in ABC graphene trilayers
- Band structure asymmetry of bilayer graphene revealed by infrared spectroscopy
- General Scattering Mechanism and Transport in Graphene
- Bound state properties of ABC-stacked trilayer graphene quantum dots
- Transport properties in ABC-ABA-ABC trilayer graphene junctions
- Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
- Tunneling in ABC trilayer graphene superlattice
- Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
- Films of rhombohedral graphite as two-dimensional topological semimetals
- Multilayer Haldane model
- Bound states of quasiparticles with quartic dispersion in an external potential: WKB approach
- Dynamical polarization in ABC-stacked multilayer graphene in a magnetic field
- Orbital mixing in few-layer graphene and non-Abelian Berry phase
- Effects of a Magnetic Field on Superconductivity and Quantum Criticality in Quasi-Two-Dimensional Systems with Dirac Electrons
- Orbital Diamagnetism of Weak-doped Bilayer Graphene in Magnetic Field
- The infrared spectra of ABC-stacking tri- and tetra-layer graphenes studied by first-principles calculations
- Rhombohedral graphite junctions as a platform for continuous tuning between topologically trivial and non-trivial electronic phases
- Induced by coherent THz-radiation high harmonics generation in bilayer graphene at high Fermi energies
- Impurity states and Localization in Bilayer Graphene: the Low Impurity Concentration Regime
- Chiral Symmetry and Many-Body Effect in Multilayer Graphene
- Magnetic quantization in multilayer graphenes
- Topological invariant of multilayer Haldane models with irregular stackings
- Tight Binding Parametrization of Few-layer Black Phosphorus from First-Principles Calculations