Electronic properties of bilayer and multilayer graphene

Abstract

We study the effects of site dilution disorder on the electronic properties in graphene multilayers, in particular the bilayer and the infinite stack. The simplicity of the model allows for an easy implementation of the coherent potential approximation and some analytical results. Within the model we compute the self-energies, the density of states and the spectral functions. Moreover, we obtain the frequency and temperature dependence of the conductivity as well as the DC conductivity. The c-axis response is unconventional in the sense that impurities increase the response for low enough doping. We also study the problem of impurities in the biased graphene bilayer.

36 pages, 42 figures, references added

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• Electronic properties of graphene multilayers
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• Screening of a hypercritical charge in graphene
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• Transmission through a biased graphene bilayer barrier
• Minimal conductivity in bilayer graphene
• Role of the trigonal warping on the minimal conductivity of bilayer graphene
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• Impurities in a Biased Graphene Bilayer
• Electric transport and magnetic properties in multilayer graphene
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• Thermal Transport for Many Body Tight-Binding Models
• Low energy excitations in graphite: The role of dimensionality and lattice defects
• Fermi Liquid Theory of a Fermi Ring
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• Tuning impurity states in bilayer graphene
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Cited by in corpus (142)

• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Moire bands in twisted double-layer graphene
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Properties of Graphene: A Theoretical Perspective
• The electronic properties of bilayer graphene
• The optical conductivity of graphene in the visible region of the spectrum
• Electronic properties of graphene-based bilayer systems
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Gate-induced Superconductivity in atomically thin MoS2 crystals
• Broken symmetry states and divergent resistance in suspended bilayer graphene
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
• Metal to insulator transition in epitaxial graphene induced by molecular doping
• Many-body instability of Coulomb interacting bilayer graphene: RG approach
• Colloquium: Graphene spectroscopy
• Electron-phonon heat transfer in monolayer and bilayer graphene
• Energy gap tuning in graphene on hexagonal boron nitride bilayer system
• High Temperature Superfluidity in Double Bilayer Graphene
• Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
• Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• Proximity effects in bilayer graphene on monolayer WSe${}_2$: Field-effect spin-valley locking, spin-orbit valve, and spin transistor
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Electronic properties of a biased graphene bilayer
• Electron-electron interaction and electron-hole asymmetry in bilayer graphene
• Theory of spin-orbit coupling in bilayer graphene
• Dynamical conductivity of AA-stacked bilayer graphene
• Topologically Protected Zero Modes in Twisted Bilayer Graphene
• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
• Charged impurity scattering in bilayer graphene
• Optical Conductivity of Twisted Bilayer Graphene
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Electronic multicriticality in bilayer graphene
• Terahertz conductivity of twisted bilayer graphene
• Local sublattice-symmetry breaking in rotationally faulted multilayer graphene
• Low frequency optical conductivity in graphene and in other scale-invariant two-band systems
• Electronic topological transition in sliding bilayer graphene
• Magnon Hall effect in AB-stacked bilayer honeycomb quantum magnets
• Thermopower of gapped bilayer graphene
• Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
• A semi-analytical model of Bilayer Graphene Field Effect Transistor
• Electrically tunable exchange splitting in bilayer graphene on monolayer Cr${}_2$X${}_2$Te${}_6$ with X=Ge, Si, and Sn
• Composite fermion duality for half-filled multicomponent Landau Levels
• Direct growth of mm-size twisted bilayer graphene by plasma-enhanced chemical vapor deposition
• Dirac electrons in graphene-based quantum wires and quantum dots
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Electric-Field-control of spin rotation in bilayer graphene
• Magnetotransport in La(Fe,Ru)AsO as a probe of band structure and mobility
• Topological exact flat bands in two dimensional materials under periodic strain
• Berry phase mediated topological thermoelectric transport in gapped single and bilayer graphene
• Electron-electron interactions in graphene bilayers
• Fictitious gauge fields in bilayer graphene
• Capacitance of Graphene Bilayer as a Which-Layer Probe
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Klein tunneling and cone transport in AA-stacked bilayer graphene
• Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
• Quasi-Freestanding Multilayer Graphene Films on the Carbon Face of SiC
• Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
• Heating Isotopically Labelled Bernal Stacked Graphene: a Raman Spectroscopy Study
• Valley symmetry breaking in bilayer graphene: a test to the minimal model
• Orbital order in bilayer graphene at filling factor $\nu =-1$
• Ruderman-Kittel-Kasuya-Yosida interaction in biased bilayer graphene
• The fate of interaction-driven topological insulators under disorder
• Effective Mass in Bilayer Graphene at Low Carrier Densities: the Role of Potential Disorder and Electron-Electron Interaction
• Magnetic ratchet effect in bilayer graphene
• Disorder-induced tail states in a gapped bilayer graphene
• Spintronic devices from bilayer graphene in contact to ferromagnetic insulators
• Conductance of bilayer graphene in the presence of a magnetic field: Effects of disorder
• Lattice-layer entanglement in Bernal-stacked bilayer graphene
• Bilayer graphene under pressure: Electron-hole Symmetry Breaking, Valley Hall Effect, and Landau Levels
• Classification of massive and gapless phases in bilayer graphene
• Probing the tunable multi-cone bandstructure in Bernal bilayer graphene
• Excitonic and superconducting orders from repulsive interaction on the doped honeycomb bilayer
• Structure and the Lamb-shift-like quantum splitting of the pseudo-zero-mode Landau levels in bilayer graphene
• Screening and collective modes in gapped bilayer graphene
• Effect of next-nearest neighbor coupling on the optical spectra in bilayer graphene
• Renormalization and cyclotron resonance in bilayer graphene with weak electron-hole asymmetry
• Dirac-Source Diode with Sub-unity Ideality Factor
• External gates and transport in biased bilayer graphene
• On the Nature of Interlayer Bonds in Two-dimensional Materials
• Semiclassical Boltzmann transport theory for graphene multilayers
• Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach
• Anisotropic minimal conductivity of graphene bilayers
• Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
• Effects of doping and bias voltage on the screening in AAA-stacked trilayer graphene
• Screening in gated bilayer graphene via variational calculus
• Valley current generation using biased bilayer graphene dots
• Robust Spin Interconnect with Isotropic Spin Dynamics in Chemical Vapour Deposited Graphene Layers and Boundaries
• Conversion of the stacking orientation of bilayer graphene due to \break the interaction of BN-dopants
• Transversal electric field effect in multilayer graphene nanoribbon
• Electron spin relaxation in bilayer graphene
• Transport properties of multilayer graphene
• Thermopower of multilayer graphene
• Screening and gap generation in bilayer graphene
• Graphene lattice-layer entanglement under non-Markovian phase noise
• Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene
• Multilayer graphene nanoribbon under vertical electric field
• Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
• Theory of ARPES in Graphene-Based Moiré Superlattices
• Comparison of microscopic models for disorder in bilayer graphene: Implications for the density of states and the optical conductivity
• Current flow in biased bilayer graphene: the role of sublattices
• Electric bias control on impurity effects in bigraphene
• Universal features of Lifshitz Green's functions from holography
• Holographic RG flows with nematic IR phases
• Intrinsic Limits of Subthreshold Slope in Biased Bilayer Graphene Transistor
• Impurities and electronic localization in graphene bilayers
• AC transport properties of single and bilayer graphene
• Perturbation calculations on interlayer transmission rates from symmetric to antisymmetric channels in parallel armchair nanotube junctions
• Spin Dynamics in Bilayer Graphene : Role of Electron-Hole Puddles and the Dyakonov-Perel Mechanism
• Characteristics of mono-, di-, and trivalent cations in electric double layers: a molecular dynamic investigation
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Anisotropic optical conductivity and electron-hole asymmetry in doped monolayer graphene in the presence of the Rashba coupling
• h-BN layer induced chiral decomposition in the electronic properties of multilayer graphene
• The mutual rectification effect of electric currents induced by electromagnetic waves in materials with non-additive energy spectrum: the quantum kinetic equation approach
• Landau Level Splitting in Rotationally Faulted Multilayer Graphene
• Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
• Integer quantum Hall effect in AAA-stacked trilayer graphene
• Disorder induced field effect transistor in bilayer and trilayer graphene
• Origins of Valley Current Reversal in Partially Overlapped Graphene Layers
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• Wavefront dislocations in graphene systems revealed by transport measurement
• Band structure asymmetry of bilayer graphene revealed by infrared spectroscopy
• Electron-electron interactions in non-equilibrium bilayer graphene
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Excitonic gap formation in neutral bilayer structures
• Tunnel Valley Current Filter in the Partially Overlapped Graphene under the Vertical Electric Field
• Density of states and excitonic condensation in the double layer correlated systems
• Finite-size effects on the minimal conductivity in graphene with Rashba spin-orbit coupling
• Energy symmetry and interlayer wave function ratio of tunneling electrons in partially overlapped graphene
• Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
• Anderson Transition in Disordered Bilayer Graphene
• Electronic oscillations in paired polyacetylene chains
• Fractional topological excitations and quantum phase transition in a bilayer 2DEG adjacent to a superconductor film
• Persistent current and orbital magnetization along a valley-contrasting junction in bilayer graphene in a magnetic field
• Gate-induced magneto-oscillation phase anomalies in graphene bilayers
• Bias Free Gap Creation in Bilayer Graphene
• Microscopic nonlinear quantum theory of absorption of coherent electromagnetic radiation in doped bilayer graphene
• Spin Generation Via Bulk Spin Current in Three Dimensional Topological Insulators
• Multiphoton cross sections of conductive electrons stimulated bremsstrahlung in doped bilayer graphene
• Electronic states in a superlattice consisting of alternating strips of single-layer and bilayer graphene