Localization of Dirac electrons by Moire patterns in graphene bilayers

Abstract

We study the electronic structure of two Dirac electron gazes coupled by a periodic Hamiltonian such as it appears in rotated graphene bilayers. Ab initio and tight-binding approaches are combined and show that the spatially periodic coupling between the two Dirac electron gazes can renormalize strongly their velocity. We investigate in particular small angles of rotation and show that the velocity tends to zero in this limit. The localization is confirmed by an analysis of the eigenstates which are localized essentially in the AA zones of the Moire patterns.

4 pages, 5 figures

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Cited by in corpus (384)

• Moire bands in twisted double-layer graphene
• Phonon and Raman scattering of two-dimensional transition metal dichalcogenides from monolayer, multilayer to bulk material
• Magic Angle Spectroscopy
• Flat Bands in Slightly Twisted Bilayer Graphene
• Graphene Bilayers with a Twist
• Origin of Magic Angles in Twisted Bilayer Graphene
• Evolution of Interlayer Coupling in Twisted MoS2 Bilayers
• Atomic-scale control of graphene magnetism using hydrogen atoms
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Continuum Model of the Twisted Bilayer
• Raman spectroscopy study of rotated double-layer graphene: Misorientation-angle dependence of electronic structure
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Optical Absorption in Twisted Bilayer Graphene
• Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
• Unravelling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene
• Electronic properties of graphene-based bilayer systems
• Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
• Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
• Energy Spectrum and Quantum Hall Effect in Twisted Bilayer Graphene
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Origin of band gaps in graphene on hexagonal boron nitride
• Dirac Electrons in a Dodecagonal Graphene Quasicrystal
• Band Structure of Twisted Bilayer Graphene: Emergent Symmetries, Commensurate Approximants and Wannier Obstructions
• Multiply Folded Graphene
• Numerical studies of confined states in rotated bilayers of graphene
• Adhesion and electronic structure of graphene on hexagonal boron nitride substrates
• Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
• Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
• Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
• Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
• An exact continuum model for low-energy electronic states of twisted bilayer graphene
• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
• Magic Angle Hierarchy in Twisted Graphene Multilayers
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• Electronic properties of graphene hexagonal boron nitride moiré superlattice
• The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
• Topologically Protected Helical States in Minimally Twisted Bilayer Graphene
• Colloquium: Graphene spectroscopy
• The Interlayer Shear Modes in Twisted Multi-layer Graphenes: Interlayer coupling, Davydov Splitting and Intensity Resonance
• Non-Abelian gauge potentials in graphene bilayers
• Strong Correlations and d+id Superconductivity in Twisted Bilayer Graphene
• Moire Butterflies
• Relaxation of moiré patterns for slightly misaligned identical lattices: graphene on graphite
• Electronic Structure Theory of Weakly Interacting Bilayers
• Band structure and topological property of twisted double bilayer graphenes
• Electronic and structural characterization of divacancies in irradiated graphene
• Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
• Electronic spectrum of twisted graphene layers under heterostrain
• Pressure-induced commensurate stacking of graphene on boron nitride
• Electrically controllable magnetism in twisted bilayer graphene
• Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
• 2D MoS2-Graphene-based multilayer van der Waals heterostructures: Enhanced charge transfer and optical absorption, and electric-field tunable Dirac point and band gap
• Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
• Helical networks in twisted bilayer graphene under interlayer bias
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Electronic Compressibility of Magic-Angle Graphene Superlattices
• Structural and electronic transformation in low-angle twisted bilayer graphene
• Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
• Interface coupling in twisted multilayer graphene by resonant Raman spectroscopy of layer breathing modes
• Moiré Flat Bands in Twisted Double Bilayer Graphene
• Interlayer interaction in general incommensurate atomic layers
• Twist-angle dependence of the proximity spin-orbit coupling in graphene on transition-metal dichalcogenides
• Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
• Band Symmetries and Singularities in Twisted Multilayer Graphene
• Dynamical conductivity of AA-stacked bilayer graphene
• Electronic spectrum of twisted bilayer graphene
• Nematic superconductivity in twisted bilayer graphene
• Tunable electrochemistry with moiré flat bands and topological defects at twisted bilayer graphene
• Moiré phonons in the twisted bilayer graphene
• Moire quasi-bound states in the continuum
• Quasicrystalline electronic states in 30${}^{\circ }$ rotated twisted bilayer graphene
• Coexistence of ultraheavy and ultrarelativistic Dirac quasiparticles in sandwiched trilayer graphene
• Continuum model for relaxed twisted bilayer graphenes and moiré electron-phonon interaction
• Flat bands and perfect metal in trilayer moiré graphene
• Cold atoms in twisted bilayer optical potentials
• Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
• Structure of twisted and buckled bilayer graphene
• Breakdown of the interlayer coherence in twisted bilayer graphene
• The Landau Level of Fragile Topology
• Optical Conductivity of Twisted Bilayer Graphene
• Emergent ${\text{D}}_6$ symmetry in fully-relaxed magic-angle twisted bilayer graphene
• Graphene on incommensurate substrates: trigonal warping and emerging Dirac cone replicas with halved group velocity
• Quasi-flat plasmonic bands in twisted bilayer graphene
• Electronic Hybridization of Large-Area Stacked Graphene Films
• Experimental evidence for non-Abelian gauge potentials in twisted graphene bilayers
• High-Harmonic Generation from Monolayer and Bilayer Graphene
• Topological Floquet Engineering of Twisted Bilayer Graphene
• Electronic Properties of Twisted Trilayer Graphene
• Interlayer coupling in rotationally faulted multilayer graphenes
• Competing phases of interacting electrons on triangular lattices in moiré heterostructures
• Charge Smoothening and Band Flattening due to Hartree corrections in Twisted Bilayer Graphene
• Local sublattice-symmetry breaking in rotationally faulted multilayer graphene
• Landau Quantization and Fermi Velocity Renormalization in Twisted Graphene Bilayers
• Electronic transmission through AB-BA domain boundary in bilayer graphene
• Derivation of Wannier orbitals and minimal-basis tight-binding hamiltonians for twisted bilayer graphene: a first-principles approach
• Charge redistribution and interlayer coupling in twisted bilayer graphene under electric fields
• Phonons in Twisted Transition Metal Dichalcogenide Bilayers ("Twistnonics"): Ultra-soft Phasons, and a transition from Superlubric to Pinned Phase
• Twists and The Electronic Structure of Graphitic Materials
• Intrinsic Band Gap and Electrically Tunable Flat Bands in Twisted Double Bilayer Graphene
• Heavy fermion representation for twisted bilayer graphene systems
• Heterostrain rules the flat-bands in magic-angle twisted graphene layers
• Phonon mediated interlayer conductance in twisted graphene bilayers
• Strong Coupling Theory of Magic-Angle Graphene: A Pedagogical Introduction
• Momentum space quantum Monte Carlo on twisted bilayer Graphene
• The nature of correlations in the insulating states of twisted bilayer graphene
• Valley Jahn-Teller effect in twisted bilayer graphene
• Spin-twisted Optical Lattices: Tunable Flat Bands and Larkin-Ovchinnikov Superfluids
• Gate-Tunable Fractional Chern Insulators in Twisted Double Bilayer Graphene
• Multi-component magneto-optical conductivity of multilayer graphene on SiC
• Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene
• Incommensurate double-walled carbon nanotubes as one-dimensional moiré crystals
• Spin-triplet $f$-wave pairing in twisted bilayer graphene near 1/4 filling
• Magic-angle semimetals
• Flat bands in magic-angle vibrating plates
• Twisting Dirac fermions: Circular dichroism in bilayer graphene
• Real-space imaging of the tailored plasmons in twisted bilayer graphene
• Tuning the Fermi velocity in Dirac materials with an electric field
• Transport measurements in twisted bilayer graphene: Electron-phonon coupling and Landau level crossing
• Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
• Tuning Structures and Electronic Spectra of Graphene Layers by Tilt Grain Boundaries
• Theory of the Raman spectrum of rotated double-layer graphene
• DC conductivity of twisted bilayer graphene: Angle-dependent transport properties and effects of disorder
• Visualizing delocalized correlated electronic states in twisted double bilayer graphene
• Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
• Optical absorption of twisted bilayer graphene with interlayer potential asymmetry
• Perfect one-dimensional chiral states in biased twisted bilayer graphene
• Higher-order van Hove singularity in magic-angle twisted trilayer graphene
• Strain induced quasi-unidimensional channels in twisted moiré lattices
• Band-unfolding approach to Moirè-induced band-gap opening and Fermi-level-velocity reduction in twisted bilayer graphene
• Topological Properties of Gapped Graphene Nanoribbons with Spatial Symmetries
• Electronic localization in twisted bilayer MoS${}_2$ with small rotation angle
• Twist-angle dependence of electron correlations in moiré graphene bilayers
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Continuum effective Hamiltonian for graphene bilayers for an arbitrary smooth lattice deformation from microscopic theories
• Spectral characterization of magic angles in twisted bilayer graphene
• A Combined First Principles Study of the Structural, Magnetic, and Phonon Properties of Monolayer CrI${}_3$
• Perfect and controllable nesting in the small angle twist bilayer graphene
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Interlayer Coupling in Two-Dimensional Semiconductor Materials
• Emergent Localization in Dodecagonal Bilayer Quasicrystals
• Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
• Kohn-Luttinger superconductivity on two orbital honeycomb lattice
• Tuning band gaps in twisted bilayer MoS${}_2$
• Effect of bilayer stacking on the atomic and electronic structure of twisted double bilayer graphene
• Flat-band ferromagnetism in twisted bilayer graphene
• Scanning tunneling microscopy and spectroscopy of twisted trilayer graphene
• Emergent geometric frustration and flat band in moiré bilayer graphene
• Layer-dependent pressure effect on electronic structures of 2D black phosphorus
• Many-body effects in twisted bilayer graphene at low twist angles
• Angle Dependence of Landau Level Spectrum in Twisted Bilayer Graphene
• Designing Moiré Patterns by Strain
• Exciton Proliferation and Fate of the Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Controlling Valley-Polarisation in Graphene via Tailored Light Pulses
• Twistronics in graphene-based van der Waals structures
• Dynamical properties of collective excitations in twisted bilayer Graphene
• Electronic localization in small-angle twisted bilayer graphene
• Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
• Optical properties of the Hofstadter butterfly in the Moiré superlattice
• Twisted bilayer graphene in a parallel magnetic field
• Pairing and non-Fermi liquid behavior in partially flat-band systems
• Spin moiré engineering of topological magnetism and emergent electromagnetic fields
• Topological charge pumping by sliding moiré pattern
• Plasmon-enhanced near-field chirality in twisted van der Waals heterostructures
• Single-electron gap in the spectrum of twisted bilayer graphene
• The ultra-low-frequency shear modes of 2-4 layer graphenes observed in their scroll structures at edges
• Marginal Fermi liquid in twisted bilayer graphene
• Superconductivity and bosonic fluid emerging from Moiré flat bands
• Carrier transport theory for twisted bilayer graphene in the metallic regime
• Inherited and flatband-induced ordering in twisted graphene bilayers
• Periodic Landau gauge and Quantum Hall effect in twisted bilayer graphene
• Moiré disorder effect in twisted bilayer graphene
• Electronic properties of asymmetrically doped twisted graphene bilayers
• Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
• Raman spectroscopic characterization of stacking configuration and interlayer coupling of twisted multilayer graphene grown by chemical vapor deposition
• Truncated atomic plane wave method for the subband structure calculations of Moiré systems
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Quantum confinement of Dirac quasiparticles in graphene patterned with subnanometer precision
• Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state
• Emergent magnetic texture in driven twisted bilayer graphene
• Functional renormalization group for a large moiré unit cell
• Lowest-energy Moiré Band Formed by Dirac Zero Modes in Twisted Bilayer Graphene
• One-dimensional moiré superlattices and flat bands in collapsed chiral carbon nanotubes
• Wide bandgap semiconductor from a hidden 2D incommensurate graphene phase
• A Non-Hermitian Moiré Valley Filter
• Stacking transition in bilayer graphene caused by thermally activated rotation
• Evidence for Interlayer Electronic Coupling in Multilayer Epitaxial Graphene from Polarization Dependent Coherently Controlled Photocurrent Generation
• Spin density wave and electron nematicity in magic-angle twisted bilayer graphene
• Quantum Monte Carlo sign bounds, topological Mott insulator and thermodynamic transitions in twisted bilayer graphene model
• The Coherent Interlayer Resistance of a Single, Rotated Interface between Two Stacks of AB Graphite
• Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling
• Origin of band flatness and constraints of higher Chern numbers
• Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
• Local spectroscopy of a gate-switchable moiré quantum anomalous Hall insulator
• Fractal energy gaps and topological invariants in hBN/Graphene/hBN double moiré systems
• Double flat bands in kagome twisted bilayers
• Landau Quantization in Twisted Bilayer Graphenes: the Dirac Comb
• Electronic conductance of twisted bilayer nanoribbon flakes
• Fermion sign bounds theory in quantum Monte Carlo simulation
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Pressure induced magnetism in rotated graphene bilayers
• Giant atomic swirl in graphene bilayers with biaxial heterostrain
• Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model
• Analytical Model for Atomic Relaxation in Twisted Moiré Materials
• Quasicrystalline electronic states in twisted bilayers and the effects of interlayer and sublattice symmetries
• Electronic Transport in Graphene: Quantum Effects and Role of Local Defects
• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Quasi-flat-band physics in a two-leg ladder model and its relation to magic-angle twisted bilayer graphene
• Evolution from quantum anomalous Hall insulator to heavy-fermion semimetal in magic-angle twisted bilayer graphene
• Dynamical properties of quantum many-body systems with long range interactions
• A stable path to ferromagnetic hydrogenated graphene growth
• Strain-induced modulation of Dirac cones and van Hove singularities in twisted graphene bilayer
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• Selective Hydrogen Adsoprtion in Graphene Rotated Bilayers
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Possible high temperature superconducting transitions in disordered graphite obtained from room temperature deintercalated KC${}_8$
• Nano-scale displacement sensing based on Van der Waals interaction
• Full Slonczewski-Weiss-McClure parametrization of few-layer twistronic graphene
• ARPES signatures of few-layer twistronic graphenes
• Change of chirality at magic angles of twisted bilayer graphene
• Tunable electron-phonon interactions in long-period superlattices
• Moiré phonons in graphene/hexagonal boron nitride moiré superlattice
• 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
• Electric Field Tunable Band Gap in Commensurate Twisted Bilayer Graphene
• Emergence of Flat-Band Magnetism and Half-Metallicity in Twisted Bilayer Graphene
• Crossed graphene nanoribbons as beam splitters and mirrors for electron quantum optics
• Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study
• Possible nodeless $s^{\pm }$-wave superconductivity in twisted bilayer graphene
• Electronic structure and layer-resolved transmission of bilayer graphene nanoribbon in the presence of vertical fields
• Moiré circuits: engineering magic-angle behaviors
• Flat-band optical phonons in twisted bilayer graphene
• Phonon dispersions and electronic structures of two-dimensional IV-V compounds
• Fracton-elasticity duality in twisted moiré superlattices
• Piezoelectricity in asymmetrically strained bilayer graphene
• Band structure and inter-tube optical transitions in double-walled carbon nanotubes
• Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
• Magnetic skyrmion crystal at a topological insulator surface
• Strain-induced conduction gap in vertical devices made of twisted graphene layers
• Stabilization of Topological Insulator Emerging from Electron Correlations on Honeycomb Lattice and Its Possible Relevance in Twisted Bilayer Graphene
• Electronic structure and quantum transport in twisted bilayer graphene with resonant scatterers
• Negative Differential Resistance in Graphene Boron Nitride Heterostructure Controlled by Twist and Phonon-Scattering
• Fine Tuning of Optical Transition Energy of Twisted Bilayer Graphene via Interlayer Distance Modulation
• Ab-initio analysis of superstructures revealed by STM on bilayer graphene
• Anomalous electronic transport in Quasicrystals and related Complex Metallic Alloys
• Time-evolution patterns of electrons in twisted bilayer graphene
• Unconventional superconductivity with preformed pairs in twisted bilayer graphene
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Finite-temperature phase diagram and critical point of the Aubry pinned-sliding transition in a 2D monolayer
• Electron-phonon scattering and in-plane electric conductivity in twisted bilayer graphene
• Macroscopically degenerate localized zero-energy states of quasicrystalline bilayer systems in strong coupling limit
• Terahertz Circular Dichroism in Commensurate Twisted Bilayer Graphene
• Torsional Force Microscopy of Van der Waals Moirés and Atomic Lattices
• Quantifying the charge carrier interaction in metallic twisted graphene superlattices
• Twisted bilayer BC${}_3$: Valley interlocked anisotropic flat bands
• Universality of moiré physics in collapsed chiral carbon nanotubes
• Effective continuum model of twisted bilayer GeSe and origin of emerging one-dimensional mode
• Theory of Optical Activity in Doped Systems with Application to Twisted Bilayer Graphene
• Angle-dependent electron confinement in graphene moiré superlattices
• Tunable zero-energy transmission resonances in shifted graphene bilayer
• Broken-Symmetry Quantum Hall States in Twisted Bilayer Graphene
• Methods for constructing parameter-dependent flat band lattices
• Angle-Tuned Gross-Neveu Quantum Criticality in Twisted Bilayer Graphene: A Quantum Monte Carlo Study
• Crystal Field Effect and Electric Field Screening in Multilayer Graphene with and without Twist
• Topological Valley Transport in Bilayer Graphene Induced by Interlayer Sliding
• Tunable magnetism in bilayer transition metal dichalcogenides
• Zigzag edge ferromagnetism of triangular-graphene-quantum-dot-like system
• Twisted bilayer graphene fabricated by direct bonding in a high vacuum
• Quantum Valley and Sub-valley Hall Effect in the Large Angle Twisted Bilayer Graphene
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Numerical analysis of electronic conductivity in graphene with resonant adsorbates: comparison of monolayer and Bernal bilayer
• Activating magnetoelectric optical properties by twisting antiferromagnetic bilayers
• Wide-range $T^2$ resistivity and umklapp scattering in moiré graphene
• Progress on band structure engineering of twisted bilayer and two-dimensional moiré heterostructures
• Superexchange and spin-orbit coupling in monolayer and bilayer chromium trihalides
• Bending Stiffness Collapse, Buckling, Topological Bands of Freestanding Twisted Bilayer Graphene
• Recursive Green's functions optimized for atomistic modelling of large superlattice-based devices
• Evolution of the electronic band structure of twisted bilayer graphene upon doping
• Landau Levels and Band Bending in Few-Layer Epitaxial Graphene
• Electronic structure of biased alternating-twist multilayer graphene
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Disorder-Induced Delocalization in Magic-Angle Twisted Bilayer Graphene
• Mesoscopic Electronic Transport in Twisted Bilayer Graphene
• Direct observation of moiré flat-band breakdown at the edge of magic-angle twisted bilayer graphene
• Valley splitter and transverse valley focusing in twisted bilayer graphene
• Enhanced valley polarization of graphene on hBN under circularly polarized light irradiation
• Signature of multilayer graphene strain-controlled domain walls in quantum Hall effect
• Defect-induced band restructuring and length scales in twisted bilayer graphene
• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• Moir{é} pattern assisted geometric resonant tunneling in disordered twisted bilayer graphene
• Anisotropic strain effects in small-twist-angle graphene on graphite
• Quantum-confined Stark effect in band-inverted junctions
• Charge distribution and spin textures in magic-angle twisted bilayer graphene
• Neutral magic-angle bilayer graphene: Condon instability and chiral resonances
• An In-situ Annealing effect of Graphene-Graphene Interlayer Conduction
• Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
• A micro-magneto-Raman scattering study of graphene on a bulk graphite substrate
• Nodal Surfaces in Photoemission from Twisted Bilayer Graphene
• Resonant interaction in chiral, Eshelby-twisted van der Waals atomic layers
• Quasicrystalline 30${}^{\circ }$ twisted bilayer graphene: Fractal patterns and electronic localization properties
• Site-selective insulating phase in twisted bilayer Hubbard model
• Absence of Edge States in The Valley Chern Insulator in Moiré Graphene
• Particle dynamics and ergodicity-breaking in twisted-bilayer optical lattices
• Effects of structural and chemical disorders on the visible/UV spectra of carbonaceous interstellar grains
• Influence of different exchange-correlation potentials on twisted structures of bilayer XS2 (X= Mo, Cr)
• Linear and Non-Linear Response of Quadratic Lindbladians
• Electronic correlations in epitaxial graphene: Mott states proximitized to a relativistic electron gas
• Universal principles of moiré band structures
• Charge Singlets and Orbital-Selective Charge Density Wave Transitions
• Magnon bands in twisted bilayer honeycomb quantum magnets
• Magic radius of AA bilayer graphene quantum dot
• Mobility gap and quantum transport in functionalized graphene bilayer
• Designing Band Structures by Patterned Dielectric Superlattices
• Emergence of flat bands in the quasicrystal limit of boron nitride twisted bilayers
• Periodic arrays of intercalated atoms in twisted bilayer graphene: an \it{ ab initio} investigation
• Short vs. long range exchange interactions in twisted bilayer graphene
• Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model
• The low energy excitation spectrum of magic-angle semimetals
• Origin of magic angles in twisted bilayer graphene: The magic ring
• Inducing Berry Curvature Dipole in Multilayer Graphene through Inhomogeneous Interlayer Sliding
• Brownian dynamics of Dirac fermions in twisted bilayer graphene
• Construction of low-energy symmetric Hamiltonians and Hubbard parameters for twisted multilayer systems using ab-initio input
• Electron transmission through the stacking domain boundary in multilayers graphene
• Arrays of one-dimensional conducting channels in minimally twisted bilayer graphene
• Conductivity of Graphene with Resonant Adsorbates: Beyond the Nearest Neighbor Hopping Model
• Spatially resolved electronic structure of twisted graphene
• Moiré flat bands and antiferroelectric domains in lattice relaxed twisted bilayer hexagonal boron nitride under perpendicular electric fields
• Stoner ferromagnetism in low-angle twisted bilayer graphene at three-quarters filling
• Bilayer twisting as a mean to isolate connected flat bands in a Kagome lattice through Wigner crystallization
• Inducing anisotropies in Dirac fermions by periodic driving
• Bound states in and out of the continuum in nanoribbons with wider sections: A novel recursive S-matrix method
• Klein tunneling degradation and enhanced Fabry-Pérot interference in graphene/h-BN moiré-superlattice devices
• Low-temperature thermal transport in moiré superlattices
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Effective theory of rotationally faulted multilayer graphene - the local limit
• Experimental evidence of the topological obstruction in twisted bilayer graphene
• Excitonic effects in twisted bilayer graphene
• Lattice Model For The Quantum Anomalous Hall Effect in Moiré Graphene
• Tunable bandgaps and flat bands in twisted bilayer biphenylene carbon
• Superconductivity in correlated carbon nanotubes under pressure: A Bogoliubov-de Gennes study
• Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene
• Negative electronic compressibility in charge islands in twisted bilayer graphene
• Topological phase diagram of twisted bilayer graphene as a function of the twist angle
• Electron beam splitting effect with crossed zigzag graphene nanoribbons in high-spin metallic states
• Probing moiré electronic structures through quasiparticle interference
• Photon absorption in twisted bilayer graphene
• Wavefunction textures in twisted bilayer graphene from first principles
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Twisted bilayer graphene from first-principles: structural and electronic properties
• MoireStudio: A Universal Twisted Electronic Structure Calculation Package
• Atomic relaxation and electronic structure in twisted bilayer MoS2 with rotation angle of 5.09 degrees
• Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene
• Local Optical Conductivity of Bilayer Graphene with Kink Potential
• Magnetic ordering tendencies in hexagonal boron nitride-bilayer graphene moiré structures
• Mach--Zehnder-like interferometry with graphene nanoribbon networks
• Sliding-dependent electronic structures of alternating-twist tetralayer graphene
• Flat-band projected versus fully atomistic twisted bilayer graphene
• Terahertz Landau level spectroscopy of Dirac fermions in millimeter-scale twisted bilayer graphene
• Anomalous enhancement of large-momentum scattering by electron-electron interaction in moiré superlattices
• Trigonal Quasicrystalline States in $30^{\circ }$ Rotated Double Moiré Superlattices
• Prediction of the Hubbard U parameter from scanning tunneling microscopy images of moire systems using image recognition
• Moiré-driven equilibrium of perturbations in moiré systems
• A survey of interlayer interaction models for graphene and other 2D materials
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene
• Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene
• The fate of disorder in twisted bilayer graphene near the magic angle
• Buckling and flat bands in twisted bilayer graphene
• Electrostatic interactions in twisted bilayer graphene
• Incommensurate Twisted Bilayer Graphene: emerging quasi-periodicity and stability
• Decomposing Electronic Structures in Twisted Multilayers: Bridging Spectra and Incommensurate Wave Functions
• Electric charge and potential distribution in twisted multilayer graphene
• Network model and four-terminal transport in minimally twisted bilayer graphene
• Super Moiré Domain Tessellations, Sliding Ferroelectricity, and Reconfigurable Quantum Dot Arrays in Twisted Trilayer Hexagonal Boron Nitride
• Atomic frustration-based twistronics
• A general relation between stacking order and Chern index: a topological map of minimally twisted bilayer graphene
• Magnetism of magic-angle twisted bilayer graphene
• Straintronics and twistronics in bilayer graphene