Landau level spectra and the quantum Hall effect of multilayer graphene
arXiv:1104.0794 · doi:10.1103/PhysRevB.83.165443
Abstract
The Landau level spectra and the quantum Hall effect of ABA-stacked multilayer graphenes are studied in the effective mass approximation. The low-energy effective mass Hamiltonian may be partially diagonalized into an approximate block-diagonal form, with each diagonal block contributing parabolic bands except, in a multilayer with an odd number of layers, for an additional block describing Dirac-like bands with a linear dispersion. We fully include the band parameters and, taking into account the symmetry of the lattice, we analyze their affect on the block-diagonal Hamiltonian. Next-nearest layer couplings are shown to be particularly important in determining the low-energy spectrum and the phase diagram of the quantum Hall conductivity, by causing energy shifts, level anti-crossings, and valley splitting of the low-lying Landau levels.
9 pages, 4 figures
References in corpus (40)
- Electric Field Effect in Atomically Thin Carbon Films
- Ultrahigh electron mobility in suspended graphene
- Boron nitride substrates for high-quality graphene electronics
- Chiral tunneling and the Klein paradox in graphene
- Suspended Graphene: a bridge to the Dirac point
- Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Unconventional Integer Quantum Hall effect in graphene
- Asymmetry gap in the electronic band structure of bilayer graphene
- Bipolar supercurrent in graphene
- Temperature dependent transport in suspended graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- Weak localisation magnetoresistance and valley symmetry in graphene
- Strong suppression of weak (anti)localization in graphene
- Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
- Landau Level Splitting in Graphene in High Magnetic Fields
- Transport measurements across a tunable potential barrier in graphene
- Electronic states and Landau levels in graphene stacks
- Infrared spectroscopy of Landau levels in graphene
- First direct observation of Dirac fermions in graphite
- Weak localisation in graphene flakes
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Weak antilocalization in epitaxial graphene: evidence for chiral electrons
- Dependence of band structures on stacking and field in layered graphene
- Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
- Transport in Bilayer Graphene: Calculations within a self-consistent Born approximation
- Chiral Decomposition in the Electronic Structure of Graphene Multilayers
- Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
- Pseudospin Magnetism in Graphene
- Magneto-optical properties of multilayer graphenes
- Quantum Anomalous Hall State in Bilayer Graphene
- Observation of Anomalous Phonon Softening in Bilayer Graphene
- Gate-induced interlayer asymmetry in ABA-stacked trilayer graphene
- Characterization of graphene through anisotropy of constant-energy maps in angle-resolved photoemission
- Electric transport and magnetic properties in multilayer graphene
- Measurement of the electronic compressibility of bilayer graphene
- Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
- Imaging Stacking Order in Few-Layer Graphene
- Coulomb oscillations in three-layer graphene nanostructures
- Band structure asymmetry of bilayer graphene revealed by infrared spectroscopy
Cited by in corpus (55)
- Quantum Hall effect and Landau level crossing of Dirac fermions in trilayer graphene
- Electronic properties of graphene hexagonal boron nitride moiré superlattice
- Landau Level Spectrum of ABA- and ABC-stacked Trilayer Graphene
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- Dimensional reduction, quantum Hall effect and layer parity in graphite films
- Insulating state in tetralayers reveals an even-odd interaction effect in multilayer graphene
- Emergent Dirac gullies and gully-symmetry breaking quantum Hall states in ABA trilayer graphene
- Interacting electrons on trilayer honeycomb lattices
- Quantum Hall Effect and Semimetallic Behavior of Dual-Gated ABA-Stacked Trilayer Graphene
- New Dirac points and multiple Landau level crossings in biased trilayer graphene
- Tunable Lifshitz Transitions and Multiband Transport in Tetralayer Graphene
- Probing electronic excitations in mono- to pentalayer graphene by micro-magneto-Raman spectroscopy
- Hund's Rules for the N=0 Landau Levels of Trilayer Graphene
- Broken Symmetry Quantum Hall States in Dual Gated ABA Trilayer Graphene
- Multilayer graphenes with mixed stacking structure: interplay of Bernal and rhombohedral stacking
- Imaging de Haas-van Alphen quantum oscillations and milli-Tesla pseudomagnetic fields
- Stacking order, interaction and weak surface magnetism in layered graphene sheets
- Gate-induced Dirac cones in multilayer graphenes
- Tunable symmetries of integer and fractional quantum Hall phases in heterostructures with multiple Dirac bands
- Observation of Chirality Transition of Quasiparticles at Stacking Solitons in Trilayer Graphene
- Chiral orbital current and anomalous magnetic moment in gapped graphene
- Flat band electrons and interactions in rhombohedral trilayer graphene
- Electrically tunable charge and spin transitions in Landau levels of interacting Dirac fermions in trilayer graphene
- Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
- Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes
- Fine structure of the lowest Landau level in suspended trilayer graphene
- Multilayer graphene shows intrinsic resistance peaks in the carrier density dependence
- Landau level diagram and the continuous rotational symmetry breaking in trilayer graphene
- Spontaneous Gully Polarized Quantum Hall States in ABA Trilayer Graphene
- Non-trivial quantum oscillation geometric phase shift in a trivial band
- Landau level transitions indoped graphene in a time dependent magnetic field
- Spin- and band-ferromagnetism in trilayer graphene
- Electronic Structure of Disclinated Graphene in an Uniform Magnetic Field
- Screening in multilayer graphene
- Buckled honeycomb lattice and unconventional magnetic response
- Intrinsic resistance peaks in AB-stacked multilayer graphene with odd number of layers
- Helical Edge States and Quantum Phase Transitions in Tetralayer Graphene
- Low energy band structure in Bernal stacked hexlayer graphene: Landau fan diagram and resistance ridge
- Thermodynamic properties of the electron gas in multilayer graphene in the presence of a perpendicular magnetic field
- Layer-resolved conductivities in multilayer graphenes
- Twist Angle-Dependent Bands and Valley Inversion in 2D Materials/hBN Heterostructures
- Direct-exchange duality of the Coulomb interaction and collective excitations in graphene in a magnetic field
- Magnetotransport study of the mini-Dirac cone in AB-stacked four- to six-layer graphene under perpendicular electric field
- Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
- Theory of Conductivity of Chiral Particles
- Probing the Anisotropic Fermi Surface in Tetralayer Graphene via Transverse Magnetic Focusing
- Diverse fundamental properties in stage-n graphite alkali-intercalation compounds: anode materials of Li+-based batteries
- Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
- Current orderings of interacting electrons in bilayer graphene
- Magnetoconductance Oscillations in Electron-hole Hybridization Gaps and Valley Splittings in Tetralayer Graphene
- Orbital mixing in few-layer graphene and non-Abelian Berry phase
- Solitons in binary compounds with stacked two-dimensional honeycomb lattices
- Unconventional satellite resistance peaks in moiré superlattice of h-BN/ AB-stacked tetralayer-graphene heterostructure
- Feature-Rich Magnetic Quantization in Sliding Bilayer Graphenes
- Correlated interlayer quantum Hall state in large-angle twisted trilayer graphene