Electron-Electron Interactions in Artificial Graphene

Abstract

Recent advances in the creation and modulation of graphene-like systems are introducing a science of "designer Dirac materials". In its original definition, artificial graphene is a man-made nanostructure that consists of identical potential wells (quantum dots) arranged in a adjustable honeycomb lattice in the two-dimensional electron gas. As our ability to control the quality of artificial graphene samples improves, so grows the need for an accurate theory of its electronic properties, including the effects of electron-electron interactions. Here we determine those effects on the band structure and on the emergence of Dirac points.

References in corpus (13)

• The electronic properties of graphene
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice
• Chirality and Correlations in Graphene
• Engineering artificial graphene in a two-dimensional electron gas
• Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• Delocalized-localized transition in a semiconductor two-dimensional honeycomb lattice
• Spin-droplets in confined quantum Hall systems
• Exact Coulomb cutoff technique for supercell calculations in two dimensions
• Spin qubits in antidot lattices

Cited by in corpus (16)

• Artificial graphene as a tunable Dirac material
• Scalable Tight-Binding Model for Graphene
• Transport and optical properties of an electron gas in a Sierpinski carpet
• Normal and Anomalous Diffusion in Soft Lorentz Gases
• Observation of flat bands in gated semiconductor artificial graphene
• Density-functional investigation of molecular graphene: CO on Cu(111)
• Chaos-Assisted Dynamical Tunneling in Flat Band Superwires
• Energy-dependent diffusion in a soft periodic Lorentz gas
• The electronic structure and intervalley coupling of artificial and genuine graphene superlattice
• Engineering metal-$s{p}_{xy}$ Dirac bands on the oxidized SiC surface
• Quantum Monte Carlo Study of Semiconductor Artificial Graphene Nanostructures
• Anomalous Diffusion in the Square Soft Lorentz Gas
• Electronic structure and optical properties of Graphene Monoxide
• Density-functional approach to the band gaps of finite and periodic two-dimensional systems
• Diffusion in the Inverted Triangular Soft Lorentz Gas
• Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions