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Finite-size effects and interactions in artificial graphene formed by repulsive scatterers

Research output: Contribution to journalArticleScientificpeer-review


Original languageEnglish
Article number425501
Number of pages7
JournalJournal of Physics: Condensed Matter
Issue number42
Publication statusPublished - 28 Oct 2015
Publication typeA1 Journal article-refereed


We carry out a numerical real-space study on electrons confined in a two-dimensional triangular lattice of repulsive scattering centres. The system represents a qualitative model of molecular graphene, where the electron gas is confined between the scattering molecules in a hexagonal configuration. Our main interest is, on one hand, in the comparability of a finite system (flake) and a fully periodic one, and, on the other hand, in the role of the Coulombic electron-electron interactions and the relative strength of the scattering centres. Our real-space study shows in detail how the density of states of the fully periodic system-containing the Dirac point-is gradually formed as the size of the flake is increased. Good qualitative agreement with the experimental density of states is obtained. Our study confirms the minor role of the electron-electron interactions with selected system parameters, and shows in detail that large scattering amplitudes are required to obtain a distinctive Dirac point in the density of states.


  • artificial graphene, Dirac point, density-functional theory, real-space methods, DIRAC FERMIONS, HONEYCOMB LATTICE, ELECTRONS, SUPERLATTICES, OCTOPUS, TOOL, GAS

Publication forum classification

Field of science, Statistics Finland