Abstract
We carry out a comprehensive computational study on the stability of the Dirac cone in artificial graphene realized in nanopatterned quantum wells. Our real-space approach allows us to vary the size, shape, and positioning of the quantum dots in the hexagonal lattice. We compare the (noninteracting) single-particle calculations to density-functional studies within both local-density approximation and meta-generalized-gradient approximation. Furthermore, the density-functional results are compared against numerically precise path-integral quantum Monte Carlo calculations. As a whole, our results indicate high stability of the Dirac bands against external parameters, which is reassuring for further experimental investigations.
Highlights
Artificial graphene (AG) is a generic term for physical systems that employ a man-made honeycomb lattice for charge carriers [1]
Shape of the quantum dots First we examine the effect of the shape of the QD confinement on the band structure
We have computationally examined the stability of the graphene-like band structure and especially the Dirac cone in AG formed in the 2D electron gas in a nanopatterned quantum well
Summary
Spain 3 ETSF Scientific Development Centre, Avenida Tolosa 72, E-20018 San Sebastián, Spain 4 Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, E-28049 Madrid, Spain 5 Istituto Nanoscienze—Consiglio Nazionale delle Ricerche (CNR), Centro S3, via Campi 213a, I-1125 Modena, Italy 6 Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science and Department of Physics, Luruper Chaussee 149, G-22761 Hamburg, Germany 7 Authors to whom any correspondence should be addressed
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