New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials

Abstract

We show that new massless Dirac fermions are generated when a slowly varying periodic potential is applied to graphene. These quasiparticles, generated near the supercell Brillouin zone boundaries with anisotropic group velocity, are different from the original massless Dirac fermions. The quasiparticle wavevector (measured from the new Dirac point), the generalized pseudospin vector, and the group velocity are not collinear. We further show that with an appropriate periodic potential of triangular symmetry, there exists an energy window over which the only available states are these quasiparticles, thus, providing a good system to probe experimentally the new massless Dirac fermions. The required parameters of external potentials are within the realm of laboratory conditions.

4 pages, 4 figures

References in corpus (8)

• Two Dimensional Atomic Crystals
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Periodically rippled graphene: growth and spatially resolved electronic structure
• Graphene Antidot Lattices - Designed Defects and Spin Qubits
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Midgap states and charge inhomogeneities in corrugated graphene
• Electron Beam Supercollimation in Graphene Superlattices
• Electron properties of carbon nanotubes in a periodic potential

Cited by in corpus (71)

• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Dirac materials
• Colloquium: Graphene spectroscopy
• Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
• Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
• New generation of moiré superlattices in doubly aligned hBN/graphene/hBN heterostructures
• Creating One-dimensional Nanoscale Periodic Ripples in a Continuous Mosaic Graphene Monolayer
• Potential Energy Landscape for hot electrons in periodically nanostructured graphene
• Dirac Cones, Topological Edge States, and Nontrivial Flat Bands in Two-Dimensional Semiconductors with a Honeycomb Nanogeometry
• Moiré band model and band gaps of graphene on hexagonal boron nitride
• First-Principles Study of Electron Linewidths in Graphene
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Transport in superlattices on single layer graphene
• Superlattice Based on Graphene on a Strip Substrate
• Evidence for Superlattice Dirac Points and Space-dependent Fermi Velocity in Corrugated Graphene Monolayer
• Electronic structure of spontaneously strained graphene on hexagonal Boron Nitride
• Ising and Gross-Neveu model in next-to-leading order
• Massless Dirac Fermions in a Square Optical Lattice
• Band structure and gaps of triangular graphene superlattices
• Engineering high quality graphene superlattices via ion milled ultra-thin etching masks
• Graphene quantum dot on boron nitride: Dirac cone replica and Hofstadter butterfly
• The Coexistence of van Hove Singularities and Superlattice Dirac Points in a Slightly Twisted Graphene Bilayer
• Transport and particle-hole asymmetry in graphene on boron nitride
• Generation and morphing of plasmons in graphene superlattices
• Superstructure-induced splitting of Dirac cones in silicene
• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Indirect band gap in graphene from modulation of the Fermi velocity
• On zero energy states in graphene
• Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
• Gap opening in topological-defect lattices in graphene
• Multilayer graphene with a superlattice potential
• Electronic structure of a graphene superlattice with a modulated Fermi velocity
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Band gaps in graphene via periodic electrostatic gating
• Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field
• Interacting topological Dirac magnons
• Electronic structure of a graphene superlattice with massive Dirac fermions
• Topological effects and particle-physics analogies beyond the massless Dirac-Weyl fermion in graphene nanorings
• Double-periodic quasi-periodic graphene superlattice: non-Bragg band gap and electronic transport
• Dot-bound and dispersive states in graphene quantum dot superlattices
• Synergistic correlated states and nontrivial topology in coupled graphene-insulator heterostructures
• Zero and Finite Energy Dirac Points in the Energy Band Structure of Magnetic Bilayer Graphene Superlattices
• High-order minibands and interband Landau level reconstruction in graphene moire superlattice
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Tunnelling through finite graphene superlattices: resonance splitting effect
• Transport Anisotropy in One-dimensional Graphene Superlattice in the High Kronig-Penney Potential Limit
• Intrinsically-multilayer moiré heterostructures
• Landau level splitting due to graphene superlattices
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• The effects of Moire lattice on the electronic properties of graphene
• Probing miniband structure and Hofstadter butterfly in gated graphene superlattices via magnetotransport
• Transport evidence of superlattice Dirac cones in graphene monolayer on twisted boron nitride substrate
• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• Strong gate-tunability of flat bands in bilayer graphene due to moiré encapsulation between hBN monolayers
• Effect of one-dimensional superlattice potentials on the band gap of two-dimensional materials
• Charge-pseudospin coupled diffusion in semi-Dirac graphene: pseudospin assisted valley transport
• Wannier Diagram and Brown-Zak Fermions of Graphene on Hexagonal Boron-Nitride
• Designing Band Structures by Patterned Dielectric Superlattices
• Spatially resolved electronic structure of twisted graphene
• Tunable exciton polaritons in band-gap engineered hexagonal boron nitride
• Morphology and magneto-transport in exfoliated graphene on ultrathin crystalline \b{eta}-Si3N4(0001)/Si(111)
• Designer gapped and tilted Dirac cones in lateral graphene superlattices
• Touching points in the energy band structure of bilayer graphene superlattices
• Controlled formation of an isolated miniband in bilayer graphene on an almost commensurate $\sqrt{3}\times \sqrt{3}$ substrate
• Localized degenerate solutions to the massless Dirac and Weyl equations
• Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices
• Theory of engineering flat bands in graphene using doubly-periodic electrostatic gating
• Hofstadter Butterfly in Graphene