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Kylänpää I, Aichinger M, Janecek S, et al. Finite-size effects and interactions in artificial graphene formed by repulsive scatterers. J Phys Condens Matter. 2015;27(42):425501doi: 10.1088/0953-8984/27/42/425501.
Kylänpää, I., Aichinger, M., Janecek, S., & Räsänen, E. (2015). Finite-size effects and interactions in artificial graphene formed by repulsive scatterers. Journal of physics. Condensed matter : an Institute of Physics journal, 27(42), 425501. https://doi.org/10.1088/0953-8984/27/42/425501
Kylänpää, I, et al. "Finite-size effects and interactions in artificial graphene formed by repulsive scatterers." Journal of physics. Condensed matter : an Institute of Physics journal vol. 27,42 (2015): 425501. doi: https://doi.org/10.1088/0953-8984/27/42/425501
Kylänpää I, Aichinger M, Janecek S, Räsänen E. Finite-size effects and interactions in artificial graphene formed by repulsive scatterers. J Phys Condens Matter. 2015 Oct 28;27(42):425501. doi: 10.1088/0953-8984/27/42/425501. Epub 2015 Sep 29. PMID: 26416670.
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J Phys Condens Matter. 2015 Oct 28;27(42):425501. doi: 10.1088/0953-8984/27/42/425501. Epub 2015 Sep 29.

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

Journal of physics. Condensed matter : an Institute of Physics journal

I Kylänpää, M Aichinger, S Janecek, E Räsänen

Affiliations

  1. Department of Physics, Tampere University of Technology, FI-33101 Tampere, Finland.

PMID: 26416670 DOI: 10.1088/0953-8984/27/42/425501

Abstract

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.

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