Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-03-10
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
17 pages, 16 figures
Scientific paper
We investigate the fine structure in the energy spectrum of bilayer graphene in the presence of various stacking defaults, such as a translational or rotational mismatch. This fine structure consists of four Dirac points that move away from their original positions as a consequence of the mismatch and eventually merge in various manners. The different types of merging are described in terms of topological invariants (winding numbers) that determine the Landau-level spectrum in the presence of a magnetic field as well as the degeneracy of the levels. The Landau-level spectrum is, within a wide parameter range, well described by a semiclassical treatment that makes use of topological winding numbers. However, the latter need to be redefined at zero energy in the high-magnetic-field limit as well as in the vicinity of saddle points in the zero-field dispersion relation.
Gail R. de
Goerbig Mark O.
Montambaux Gilles
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