Engineering artificial graphene in a two-dimensional electron gas

Abstract

At low energy, electrons in doped graphene sheets behave like massless Dirac fermions with a Fermi velocity which does not depend on carrier density. Here we show that modulating a two-dimensional electron gas with a long-wavelength periodic potential with honeycomb symmetry can lead to the creation of isolated massless Dirac points with tunable Fermi velocity. We provide detailed theoretical estimates to realize such artificial graphene-like system and discuss an experimental realization in a modulation-doped GaAs quantum well. Ultra high-mobility electrons with linearly-dispersing bands might open new venues for the studies of Dirac-fermion physics in semiconductors.

4 + epsilon pages, 3 figures, submitted to PRB

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• Artificial graphene as a tunable Dirac material
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• Topological Insulators on the Lieb and Perovskite Lattices
• Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice
• Unveiling pseudospin and angular momentum in photonic graphene
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• Electronic properties of graphene antidot lattices
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Velocity-modulation control of electron-wave propagation in graphene
• Scalable Tight-Binding Model for Graphene
• Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
• Transport and optical properties of an electron gas in a Sierpinski carpet
• 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
• The effect of a velocity barrier on the ballistic transport of Dirac fermions
• Exciton-polariton condensates near the Dirac point in a triangular lattice
• Hall conductivity of Sierpinski carpet
• From laterally modulated two-dimensional electron gas towards artificial graphene
• Spontaneous persistent currents in magnetically ordered graphene ribbons
• Generation of Anisotropic Massless Dirac Fermions and Asymmetric Klein Tunneling in Few-Layer Black Phosphorus Superlattices
• Ising and Gross-Neveu model in next-to-leading order
• Topological states in multi-orbital HgTe honeycomb lattices
• Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
• Band structure and gaps of triangular graphene superlattices
• p Orbital flat band and Dirac cone in the electronic honeycomb lattice
• Flat bands with non-trivial topology in three dimensions
• Topological Insulating States in Laterally Patterned Ordinary Semiconductors
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• The Existence of Topological Edge States in Honeycomb Plasmonic Lattices
• Plasmon confinement in fractal quantum systems
• Delocalized-localized transition in a semiconductor two-dimensional honeycomb lattice
• Tight-binding theory of spin-orbit coupling in graphynes
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• Optical conductivity of a quantum electron gas in a Sierpinski carpet
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• Classification of Topological Phase Transitions and van Hove Singularity Steering Mechanism in Graphene Superlattices
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• Normal and Anomalous Diffusion in Soft Lorentz Gases
• Photonic analogues of the Haldane and Kane-Mele models
• Hidden symmetry and protection of Dirac points on the honeycomb lattice
• Power-law energy level-spacing distributions in fractals
• Quantum spin Hall effect and spin-charge separation in a kagome lattice
• Merging of the Dirac points in electronic artificial graphene
• Link between the photonic and electronic topological phases in artificial graphene
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• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Fabrication of Artificial Graphene in a GaAs Quantum Heterostructure
• Observation of flat bands in gated semiconductor artificial graphene
• Tuning the topological insulator states of artificial graphene
• Density-functional investigation of molecular graphene: CO on Cu(111)
• Beyond the constant-mass Dirac physics: Solitons, charge fractionization, and the emergence of topological insulators in graphene rings
• Chaos in the Honeycomb Optical Lattice Unit Cell
• Experimental observation of Dirac cones in artificial graphene lattices
• Control over band structure and tunneling in Bilayer Graphene induced by velocity engineering
• Formation of artificial Fermi surfaces with a triangular superlattice on a conventional two dimensional electron gas
• Lateral 2D superlattices in GaAs heterostructures with independent control of carrier density and modulation potential
• A Metamaterial-Inspired Model for Electron Waves in Bulk Semiconductors
• Transparent mirror effect in twist-angle-disordered bilayer graphene
• Effective Hamiltonian for electron waves in artificial graphene: A first principles derivation
• Giant nonlinearity in Zero-Gap Semiconductor Superlattices
• Adiabatic quantum algorithm for artificial graphene
• Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
• Magnetic-flux-driven topological quantum phase transition and manipulation of perfect edge states in graphene tube
• Topological properties of the mesoscopic graphene plaquette: QSHE due to spin imbalance
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• Majorana zero modes by engineering topological kink states in two dimensional electron gas
• Rashba-splitting of the Dirac points and the symmetry breaking in the strained artificial graphene
• Two-dimensional topological semimetal state in a nanopatterned semiconductor system
• Molecular Graphene under the Eye of Scattering Theory
• Orbital degree of freedom in artificial electron lattices on metal surface
• Energy-dependent diffusion in a soft periodic Lorentz gas
• Engineering metal-$s{p}_{xy}$ Dirac bands on the oxidized SiC surface
• Kane-Like Electrons in Type II/III Heterostructures versus Dirac-Like Electrons in Graphene
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• Linearized spectral decimation in fractals
• Quantum Monte Carlo Study of Semiconductor Artificial Graphene Nanostructures
• Survey on Computational Applications of Tensor Network Simulations
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• Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions
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• Energy shift of collective modes in spin-imbalanced graphene on SiO${}_2$ from spin-sensitive linear response theory