Manipulation of Dirac points in graphene-like crystals

Details Manipulation of Dirac points in graphene-like crystals Manipulation of Dirac points in graphene-like crystals

2012-03-06

arxiv.org/abs/1203.1262v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 9 figures, Proceedings of ECRYS-2011, International School and Workshop on Electronic Crystals, Cargese (France)

Scientific paper

10.1016/j.physb.2012.01.072

We review different scenarios for the motion and merging of Dirac points in two dimensional crystals. These different types of merging can be classified according to a winding number (a topological Berry phase) attached to each Dirac point. For each scenario, we calculate the Landau level spectrum and show that it can be quantitatively described by a semiclassical quantization rule for the constant energy areas. This quantization depends on how many Dirac points are enclosed by these areas. We also emphasize that different scenarios are characterized by different numbers of topologically protected zero energy Landau levels

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