Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
arXiv:1303.6942 · doi:10.1126/science.1237240
Abstract
Van der Waals heterostructures comprise a new class of artificial materials formed by stacking atomically-thin planar crystals. Here, we demonstrate band structure engineering of a van der Waals heterostructure composed of a monolayer graphene flake coupled to a rotationally-aligned hexagonal boron nitride substrate. The spatially-varying interlayer atomic registry results both in a local breaking of the carbon sublattice symmetry and a long-range moiré superlattice potential in the graphene. This interplay between short- and long-wavelength effects results in a band structure described by isolated superlattice minibands and an unexpectedly large band gap at charge neutrality, both of which can be tuned by varying the interlayer alignment. Magnetocapacitance measurements reveal previously unobserved fractional quantum Hall states reflecting the massive Dirac dispersion that results from broken sublattice symmetry. At ultra-high fields, integer conductance plateaus are observed at non-integer filling factors due to the emergence of the Hofstadter butterfly in a symmetry-broken Landau level.
6+11 pages, 4 figures main text, 15 figures supplementary text
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- Triplet Pair-Density Wave Superconductivity on the -flux Square Lattice
- Exploring a novel class of Janus MXenes by first principles calculations: structural, electronic and magnetic properties of Sc2CXT, X=O, F, OH; T=C, S, N
- Spatially resolving density-dependent screening around a single charged atom in graphene
- Computational Design of Moiré Assemblies Aided by Artificial Intelligence
- Pressure induced nonmonotonic evolution of superconductivity in 6R-TaS2 with a natural bulk van der Waals heterostructure
- Narrow bands, electrostatic interactions and band topology in graphene stacks
- Wiedemann-Franz law in graphene
- Dual-gated graphene devices for near-field nano-imaging
- Particle-Hole Symmetry and the Fractional Quantum Hall Effect in the Lowest Landau Level
- Aligned Stacking of Nanopatterned 2D materials -- Towards 3D printing at atomic resolution
- Engineering band structures of two-dimensional materials with remote moire ferroelectricity
- Quantum Hall effect in gapped graphene heterojunctions
- Berry Phase Transition in Twisted Bilayer Graphene
- Resolvent convergence to Dirac operators on planar domains
- Focusing RKKY interaction by graphene P-N junction
- Correlated states of a triangular net of coupled quantum wires: Implications for the phase diagram of marginally twisted bilayer graphene
- The selective transfer of patterned graphene
- Valley-dependent spin-orbit torques in two dimensional hexagonal crystals
- Quantum Hall studies of a Semi-Dirac Nanoribbon
- Interferometric 4D-STEM for Lattice Distortion and Interlayer Spacing Measurements in Bilayer and Trilayer Two-dimensional Materials
- Structural, electronic, and optical properties of periodic graphene/h-BN van der Waals heterostructures
- Trions in MoS are quantum superpositions of intra- and intervalley spin states
- Duality between atomic configurations and Bloch states in twistronic materials
- Nano-scale displacement sensing based on Van der Waals interaction
- Non-identical moiré twins in bilayer graphene
- Chiral channel network from magnetization textures in 2D MnBi2Te4
- Electrical conductivity in the Hubbard model: orbital effects of magnetic field
- Magnetoresistance of a three-dimensional Dirac gas
- Efficient Linear Scaling Approach for Computing the Kubo Hall Conductivity
- SU(4) spin waves in the quantum Hall ferromagnet in graphene
- Entropy spikes as a signature of Lifshitz transitions in the Dirac materials
- Critical integer quantum Hall topology and the integrable Maryland model as a topological quantum critical point
- Visualization of moiré magnons in monolayer ferromagnet
- Raman scattering of graphene based systems in high magnetic fields
- Moiré phonons in graphene/hexagonal boron nitride moiré superlattice
- Optical spectroscopy of interlayer coupling in artificially stacked MoS2 layers
- Moire miniband features in the angle-resolved photoemission spectra of graphene/hBN heterostructures
- HHG-laser-based time- and angle-resolved photoemission spectroscopy of quantum materials
- Spectroscopy of the Fractal Hofstadter Energy Spectrum
- Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
- Nonlinear optical conductivity of a generic two band systems, with application to doped and gapped graphene
- Moiré Landau fans and magic zeros
- The optical response of artificially twisted MoS bilayers
- Wigner localization in a graphene quantum dot with a mass gap
- Localization physics in graphene Moire superlattices
- Electronic structure of transferred graphene/h-BN van der Waals heterostructures with nonzero stacking angles by nano-ARPES
- Ultrafast carrier-coupled interlayer contraction, coherent intralayer motions, and phonon thermalization dynamics of black phosphorus
- Anomalous Cyclotron Motion in Graphene Superlattice Cavities
- PT-symmetric optical superlattices
- Higher-order Bragg gaps in the electronic band structure of bilayer graphene renormalized by recursive supermoiré potential
- Effects of Interaction in the Hofstadter regime of the honeycomb lattice
- Perpendicular electric field drives Chern transitions and layer polarization changes in Hofstadter bands
- Imaging bulk and edge transport near the Dirac point in graphene moiré superlattices
- Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride
- High resolution imaging of reconstructed domains and moire patterns in functional van der Waals heterostructure devices
- Magneto-optical response of graphene: probing substrate interactions
- Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
- Re-entrant magic-angle phenomena in twisted bilayer graphene in integer magnetic fluxes
- Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
- Magnetic field stabilized Wigner crystal states in a graphene moiré superlattice
- de Haas-van Alphen spectroscopy and fractional quantization of magnetic-breakdown orbits in moiré graphene
- Impact of thermal annealing on graphene devices encapsulated in hexagonal boron nitride
- Valley Order and Loop Currents in Graphene on Hexagonal Boron Nitride
- Quantum Geometric Exciton Drift Velocity
- Multi-flavor Dirac fermions in Kekulé-distorted graphene bilayers
- High density carriers at a strongly coupled graphene-topological insulator interface
- Universal magnetic oscillations of DC conductivity in the incoherent regime of correlated systems
- Tunable Interband Transitions in Twisted h-BN/Graphene Heterostructures
- Interlayer Transport through a Graphene / Rotated-Boron-Nitride / Graphene Heterostructure
- Negative quantum capacitance in graphene nanoribbons with lateral gates
- Topological phases of the dimerized Hofstadter butterfly
- Ni Foam Assisted Synthesis of High Quality Hexagonal Boron Nitride with Large Domain Size and Controllable Thickness
- Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
- Dynamical signature of moire pattern in non-Hermitian ladder
- Heteromoiré Engineering on Magnetic Bloch Transport in Twisted Graphene Superlattices
- Inter-valley spiral order in the Mott insulating state of a heterostructure of trilayer graphene-boron nitride
- Scattering of magnons at graphene quantum-Hall-magnet junctions
- Giant Hall photoconductivity in narrow-gapped Dirac materials
- Quantitative determination of interlayer electronic coupling at various critical points in bilayer MoS2
- Magnonic Floquet Hofstadter Butterfly
- Distinct photoluminescence in multilayered van der Waals heterostructures of MoS2/WS2/ReS2 and BN
- A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
- Reentrant topological transitions with Majorana end states in 1D superconductors by lattice modulation
- Deconfined Metal-Insulator Transitions in Quantum Hall Bilayers
- High-order minibands and interband Landau level reconstruction in graphene moire superlattice
- Symmetry-broken Chern insulators in twisted double bilayer graphene
- Two-dimensional spinodal interface in one-step grown graphene-molybdenum carbide heterostructures
- Sublattice symmetry breaking and ultra low energy excitations in Graphene-on-hBN Heterostructures
- Angle-dependent electron confinement in graphene moiré superlattices
- Spectroscopic and DFT studies of graphene intercalation systems on metals
- General scatterings and electronic states in the quantum-wire network of moiré systems
- Acoustomagnetoelectric effect in two-dimensional materials: Geometric resonances and Weiss oscillations
- Transport Anisotropy in One-dimensional Graphene Superlattice in the High Kronig-Penney Potential Limit
- Spin liquid in twisted homobilayers group-VI gichalcogenides
- Electronic structure of graphene-nanoribbons on hexagonal boron nitride
- Cloning of Zero Modes in One-Dimensional Graphene Superlattices
- Optical Conductivity of Twisted Bilayer Graphene Near the Magic Angle
- Thermodynamics of correlated electrons in a magnetic field
- Replica Higher-Order Topology of Hofstadter Butterflies in Twisted Bilayer Graphene
- Impurity effects and bandgap-closing in massive Dirac systems
- Moiré effects in graphene--hBN heterostructures
- Mass-profile quantum dots in graphene
- Landau level collapse in graphene in the presence of in-plane radial electric and perpendicular magnetic fields
- Single-Carrier Transport in Graphene/hBN Superlattices
- Supercell-core software: a useful tool to generate an optimal supercell for vertically stacked nanomaterials
- Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
- Fractal defect states in the Hofstadter butterfly
- High-energy Landau levels in graphene beyond nearest-neighbor hopping processes: Corrections to the effective Dirac Hamiltonian
- Probing miniband structure and Hofstadter butterfly in gated graphene superlattices via magnetotransport
- The effects of Moire lattice on the electronic properties of graphene
- Large Landau level splitting with tunable one-dimensional graphene superlattice probed by magneto capacitance measurements
- Calculations of Magnetic properties of metals through the magnetic-field-containing relativistic tight-binding approximation method
- Observation of multi Dirac fermion cloning induced by moiré potential in graphene-SiC heterostructure
- Thermopower in hBN/graphene/hBN superlattices
- Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN
- Pressure-Driven Moiré Potential Enhancement and Tertiary Gap Opening in Graphene/h-BN Heterostructure
- In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
- Persistence of gaps in the interacting Hofstadter model
- Plasmons in realistic graphene/hexagonal boron nitride moiré patterns
- Deteriorated Interlayer Coupling in Twisted Bilayer Cobaltites
- Progress on band structure engineering of twisted bilayer and two-dimensional moiré heterostructures
- Deterministic fabrication of graphene hexagonal boron nitride moiré superlattices
- Emergent QCD Quantum Phase Transitions of Fractional Chern Insulators
- A non-invasive sub-surface electrical probe to encapsulated layers in van der Waals heterostructures
- Creating better superconductors by periodic nanopatterning
- Band gap formation in commensurate twisted bilayer graphene/hBN moiré lattices
- Theory of ARPES in Graphene-Based Moiré Superlattices
- Interaction-induced metallic state in graphene on hexagonal boron nitride
- Dimensional reduction from magnetic field in moiré superlattices
- Playing graphene nanodrums: force spectroscopy of graphene on Ru(0001)
- Electrical valley filtering in transition metal dichalcogenides
- Quantum Hall effect in epitaxial graphene with permanent magnets
- Ab Initio Modeling of Thermal Transport through van der Waals Materials
- Universal Moiré Buckling of Freestanding 2D Bilayers
- Aharonov-Bohm conductance oscillations and current equilibration in local n - p junctions in graphene
- Entropy Signatures of Topological Phase Transitions
- High-mobility compensated semimetals, orbital magnetization, and umklapp scattering in bilayer graphene moire superlattices
- THz conductivity of graphene on boron nitride
- Topological van Hove singularities at phase transitions in Weyl metals
- Moiré-Induced Transport in CVD-Based Small-Angle Twisted Bilayer Graphene
- Reconstruction-induced trefoil knot Fermi contour of Au(111)
- One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics
- Umklapp electron-electron scattering in bilayer graphene moiré superlattice
- Enhanced valley polarization of graphene on hBN under circularly polarized light irradiation
- Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
- Engineering Interlayer Hybridization in Energy Space via Dipolar Overlayers
- Spontaneously-Induced Dirac Boundary State and Digitization in a Nonlinear Resonator Chain
- Quantum phases of two-component bosons on the Harper-Hofstadter ladder
- Wiedemann-Franz law in graphene in the presence of a weak magnetic field
- Electromagnetic field assisted exciton diffusion in moiré superlattices
- Impacts of in-plane strain on commensurate graphene/hexagonal boron nitride superlattices
- Hall viscosity and nonlocal conductivity of "gapped graphene"
- Translational symmetry breaking and the disintegration of the Hofstadter butterfly
- Experimental evidence of plasmarons and effective fine structure constant in electron-doped graphene/h-BN heterostructure
- Non-adiabatic Hall effect at Berry curvature hot spot
- Velocity renormalization and Dirac cone multiplication in graphene superlattices with various barrier edge geometries
- Seeing Hofstadter's Butterfly in Atomic Fermi Gases
- Deformable Molecular Crystal on 2D Crystal: A New Way to Build Nanoscale Periodic Trapping Sites for Interlayer Excitons
- Site-selective insulating phase in twisted bilayer Hubbard model
- Two-dimensional anisotropic Dirac materials PtN4C2 and Pt2N8C6 with quantum spin and valley Hall effects
- Broken symmetries and Kohn's theorem in graphene cyclotron resonance
- Chiral transport of hot carriers in graphene in the quantum Hall regime
- Wannier Diagram and Brown-Zak Fermions of Graphene on Hexagonal Boron-Nitride
- Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality
- Orbital magnetic moments in insulating Dirac systems: Impact on magnetotransport in graphene van der Waals heterostructures
- Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
- Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
- Hierarchy of gaps and magnetic minibands in graphene in the presence of the Abrikosov vortex lattice
- High-Quality BN-Graphene-BN Nanoribbon Capacitors Modulated by Graphene Side-gate Electrodes
- Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
- Absence of Edge States in The Valley Chern Insulator in Moiré Graphene
- Characterization of a graphene-hBN superlattice field effect transistor
- Moiré Assisted Fractional Quantum Hall State Spectroscopy
- Coulomb drag in graphene/hBN/graphene moiré heterostructures
- Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
- Universal principles of moiré band structures
- Chiral properties of topological-state loops
- Impurity induced current in a Chern insulator
- Twist Angle-Dependent Bands and Valley Inversion in 2D Materials/hBN Heterostructures
- Competing Laughlin state and Wigner crystal in bilayer graphene
- Nanoscale view of engineered massive Dirac quasiparticles in lithographic superstructures
- Spin Transitions in Graphene Butterflies at an Integer Filling Factor
- Imaging the Sub-Moiré Potential Landscape using an Atomic Single Electron Transistor
- Insulators at Fractional Fillings in Twisted Bilayer Graphene Partially Aligned to Hexagonal Boron Nitride
- Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
- Tracing out Correlated Chern Insulators in Magic Angle Twisted Bilayer Graphene
- Fractional quantum Hall coexistence phases in higher Landau levels of graphene
- Designing Band Structures by Patterned Dielectric Superlattices
- Many-body effects on Landau-level spectra and cyclotron resonance in graphene
- The electronic structure and intervalley coupling of artificial and genuine graphene superlattice
- Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
- Non-linear Landau fan diagram for graphene electrons exposed to a moiré potential
- Flat band and -pairing states in one-dimensional Moiré Hubbard model
- Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe bilayers
- Gate-tunable exciton-polaron Rydberg series with strong roton effect
- Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
- Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
- Charge transport and electron-hole asymmetry in low-mobility graphene/hexagonal boron nitride heterostructures
- Efficient algorithm to compute the Berry conductivity
- Magnetic oscillations of the anomalous Hall conductivity
- Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
- Spin and valley ordering of fractional quantum Hall states in monolayer graphene
- Notes on Quantum oscillation for Hatsugai-Kohmoto model
- Moiré induced electronic structure modifications in monolayer VS on Au(111)
- Radiation-induced magnetoresistance oscillations with massive Dirac fermions
- Moiré plane wave expansion model for scanning tunneling microscopy simulations of incommensurate two-dimensional materials
- Tuning equilibration of quantum Hall edge states in graphene - role of crossed electric and magnetic fields
- Low-temperature thermal transport in moiré superlattices
- Three-dimensional non-Abelian generalizations of the Hofstadter model: spin-orbit-coupled butterfly trios
- Electronic structure of 2D van der Waals crystals and heterostructures investigated by spatially- and angle-resolved photoemission
- Metal-Insulator transition in strained Graphene: A quantum Monte carlo study
- Crystallographic orientation errors in mechanical exfoliation
- Equilibrium current distributions and W_{infinity} gauge theory in quantum Hall systems of conventional electrons and Dirac electrons
- Localization transitions and mobility edges in quasiperiodic ladder
- Long-wavelength gauge symmetry and translations in a magnetic field for Dirac electrons in graphene
- Fractal non-Fermi liquids from moiré-Hofstadter phonons
- Fractional quantum Hall effects in graphene on a h-BN substrate
- Coexisting Kagome and Heavy Fermion Flat Bands in YbCrGe
- Electronic transport in a two-dimensional superlattice engineered via self-assembled nanostructures
- Stability of quasi-particle creation and multiband geometry in fractional Chern insulators under magnetic fields
- Geometric interference in a high-mobility graphene annulus p-n junction device
- Epitaxially Stabilized Oxide Composed of Twisted Triangular-Lattice Layers
- Moiré superlattices of antimonene on a Bi(111) substrate with van Hove singularity and Rashba-type spin polarization
- Hofstadter-Toda spectral duality and quantum groups
- Integrated impedance bridge for absolute capacitance measurements at cryogenic temperatures and finite magnetic fields
- Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
- Landau-level spectrum and the effect of spin-orbit coupling in monolayer graphene on transition metal dichalcogenides
- High mobility transport in isotopically-enriched C and C exfoliated graphene
- Lattice Model For The Quantum Anomalous Hall Effect in Moiré Graphene
- Moiré pattern of spin liquid and Neel magnet in a Kitaev chain
- Strong localization in a suspended monolayer graphene by intervalley scattering
- Correlation effects in the capacitance of a gated carbon nanotube
- Chiral second-sound collective mode at the edge of 2D systems with nontrivial Berry curvature
- Dynamical preparation of an atomic condensate in a Hofstadter band
- On dielectric screening in twisted double bilayer graphene
- Massive Dirac Fermions Signal in Raman Spectrum of Graphene
- Fractal Butterflies of Chiral Fermions in Bilayer Graphene: Phase Transitions and Emergent Properties
- Layer-dependent transport properties in the Moiré of strained homobilayer transition metal dichalcogenides
- Spin and Valley Polarized Multiple Fermi Surfaces of α-RuCl/Bilayer Graphene Heterostructure
- Magnetic Hofstadter cascade in a twisted semiconductor homobilayer
- Zigzag edge states in graphene in the presence of in-plane electric field
- Josephson junction arrays as a platform for topological phases of matter
- Charge density wave with meronlike spin texture induced by a lateral superlattice in a two-dimensional electron gas
- Multiband ballistic transport and anisotropic commensurability magnetoresistance in antidot lattices of AB-stacked trilayer graphene
- Review of the tight-binding method applicable to the properties of moiré superlattices
- Generation and control of non-local chiral currents in graphene superlattices by orbital Hall effect
- Field-induced insulating states in a graphene superlattice
- Persistent current distributions along a p-n junction in graphene in a magnetic field
- Spin-polarized superconducting phase in semiconducting system with next-nearest-neighbor hopping on the honeycomb lattice
- Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
- A capacitance spectroscopy-based platform for realizing gate-defined electronic lattices
- Topological phase diagram of twisted bilayer graphene as a function of the twist angle
- Towards the growth of single-crystal boron nitride monolayer on Cu
- Moiré Imaging in Twisted Bilayer Graphene Aligned on Hexagonal Boron Nitride
- Bloch and Bethe ansatze for the Harper model: A butterfly with a boundary
- Dynamic Moiré-like pattern in non-Hermitian Wannier-Stark ladder system
- Magnetic ordering tendencies in hexagonal boron nitride-bilayer graphene moiré structures
- Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
- Modification of the magnetic and electronic properties of the graphene-Ni(111) interface via halogens intercalation
- Topological invariant and domain connectivity in moiré materials
- Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
- Flat-Band Driven Kondo Breakdown and Reentrant Effects in Heavy-Fermion Moiré Superlattices
- Controlled formation of an isolated miniband in bilayer graphene on an almost commensurate substrate
- Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field
- Room-temperature hybrid 2D-3D quantum spin system for enhanced magnetic sensing and many-body dynamics
- Ferroelectric hysteresis in singly aligned graphene-hBN moiré superlattices
- Moiré patterns and inversion boundaries in graphene/hexagonal boron nitride bilayers
- Quantization and quantum oscillations of the sublattice charge order in Dirac insulators
- Strong Correlations and Superconductivity in the Supermoiré Lattice
- Killing the Hofstadter butterfly, one bond at a time
- Trigonal Quasicrystalline States in Rotated Double Moiré Superlattices
- Boosting proximity spin orbit coupling in graphene/WSe heterostructures via hydrostatic pressure
- Lithography defined semiconductor moires with anomalous in-gap quantum Hall states
- Hofstadter's Cocoon
- Morphology and magneto-transport in exfoliated graphene on ultrathin crystalline \b{eta}-Si3N4(0001)/Si(111)
- Effects of site asymmetry and valley mixing on Hofstadter-type spectra of bilayer graphene in a square-scatter array potential
- Hexagonal boron nitride/bilayer graphene moiré superlattices in the Dirac-material family: energy-band engineering and carrier doping by dual gating
- Time-Resolved Photoemission Spectroscopy of Quantum Materials Using High Harmonic Generation: Probing Electron-Phonon Interactions and Non-Equilibrium Dynamics
- Quantum and Thermal Fluctuations and Pair-breaking in Planar QED
- Magnon transmission across mono-layer graphene junction as a probe of electronic structure
- Dynamical symmetry breaking, magnetization and induced charge in graphene: Interplay between magnetic and pseudomagnetic fields
- Faraday rotations, ellipticity and circular dichroism in the magneto-optical spectrum of moiré superlattices
- Phase transitions induced by a lateral superlattice potential in a two-dimensional electron gas
- Non-Abelian Charge Transport in Three-Flavor Gauge Semimetal Model with Braiding Majoranas
- Multiple Hot-Carrier Collection in Photo-Excited Graphene Moire Superlattices
- Few-Mode and Anisotropic Quantum Transport in InSb Nanoribbons Using an All-van der Waals Material-Based Gate
- Hall field-induced magneto-oscillations near charge neutrality point in graphene
- Connection between the semiconductor--superconductor transition and the spin-polarized superconducting phase in the honeycomb lattice
- Hofstadter Butterfly in Graphene
- Localization phase diagram of the Hexagonal Lattice with irrational magnetic flux
- Coexisting Massive and Massless Dirac Fermions in Moire'-Reconstructed Bilayer Graphene
- Paramagnetic singularities of the orbital magnetism in graphene with a moiré potential
- Observation of Anomalous Moiré Patterns
- Mobility-edge-embedded Hofstadter butterfly from a tilt-induced quasiperiodic potential
- Theory of Hofstadter Superconductors
- Uniquely identifying quantum Hall phases in charge neutral graphene
- Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model
- Emergent electronic insulating states in a one-dimensional moiré superlattice
- Quantum matter in ultrahigh magnetic fields
- Holographic entanglement renormalisation for fermionic quantum matter
- Moiré potential, lattice corrugation, and band gap spatial variation in a twist-free MoS2/MoTe2 heterobilayer
- Universal non-power-law scaling from a chaotic renormalisation group in the Harper-Hofstadter model