Dirac physics in flakes of artificial graphene in magnetic fields

M. Aichinger, S. Janecek, I. Kylänpää, and E. Räsänen
Phys. Rev. B 89, 235433 – Published 26 June 2014

Abstract

Artificial graphene is a recently realized, man-made nanosystem that exhibits graphene-like physics in a tunable setup. The system can be created by, e.g., positioning molecules in a triangular lattice on a metal surface. Here, we model finite flakes of artificial graphene on a real-space grid and calculate their single-electron properties as a function of the flake size and the strength of an external magnetic field. Our calculations reveal the gradual formation of Dirac cones as well as a self-similar Hofstadter butterfly as the flake size is increased. Moreover, the density of states qualitatively agrees with the experimental data with and without the magnetic field.

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  • Received 3 April 2014

DOI:https://doi.org/10.1103/PhysRevB.89.235433

©2014 American Physical Society

Authors & Affiliations

M. Aichinger1,2,3, S. Janecek1,2,3, I. Kylänpää4, and E. Räsänen4,*

  • 1Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenberger Strasse 69, A-4040, Linz, Austria
  • 2MathConsult GmbH, Altenberger Strasse 69, A-4040, Linz, Austria
  • 3uni software plus GmbH, Kreuzstrasse 15a, A-4040 Linz, Austria
  • 4Department of Physics, Tampere University of Technology, FI-33101 Tampere, Finland

  • *esa.rasanen@tut.fi

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Issue

Vol. 89, Iss. 23 — 15 June 2014

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