From laterally modulated two-dimensional electron gas towards artificial graphene

Abstract

Cyclotron resonance has been measured in far-infrared transmission of GaAs/Al${}_x$Ga${}_{1-x}$As heterostructures with an etched hexagonal lateral superlattice. Non-linear dependence of the resonance position on magnetic field was observed as well as its splitting into several modes. Our explanation, based on a perturbative calculation, describes the observed phenomena as a weak effect of the lateral potential on the two-dimensional electron gas. Using this approach, we found a correlation between parameters of the lateral patterning and the created effective potential and obtain thus insights on how the electronic miniband structure has been tuned. The miniband dispersion was calculated using a simplified model and allowed us to formulate four basic criteria that have to be satisfied to reach graphene-like physics in such systems.

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• Spin blockade as a probe of Zeeman interactions in hole quantum dots
• Spectral properties of Dirac billiards at the van Hove singularities
• Classification of Topological Phase Transitions and van Hove Singularity Steering Mechanism in Graphene Superlattices
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• Fabrication of Artificial Graphene in a GaAs Quantum Heterostructure
• Confined Electrons in Effective Plane Fractals
• Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
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• Tuning the topological insulator states of artificial graphene
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• Imaging the stochastic microstructure and dynamic development of correlations in perpendicular artificial spin ice
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Geometric resonances in the magnetoresistance of hexagonal lateral superlattices
• Investigation of Edge States in Artificial Graphene Nano-Flakes
• The electronic structure and intervalley coupling of artificial and genuine graphene superlattice
• Quantum Monte Carlo Study of Semiconductor Artificial Graphene Nanostructures
• Electronic properties of atomically coherent square PbSe nanocrystal superlattice resolved by STS
• Making artificial ${\text{p}}_{x,y}$-orbital honeycomb electron lattice on metal surface
• Haldane graphene billiards versus relativistic neutrino billiards
• Designing Flat Bands and Pseudo-Landau Levels in GaAs with Patterned Gates