Abstract
We analyze in the framework of the space group theory the change of the dispersion law in grapenein the vicinity of the (former) Dirac points due to application of supercell potential with the $\sqrt{3}\times\sqrt{3}$ space periodicity and the same point symmetry as graphene.
Highlights
Graphene is a two-dimensional crystal of carbon atoms, which form a honeycomb lattice with the point symmetry described by the group D6h
In our previous publications [10]-[12] we summed up the classification of the energy bands in graphene on the basis of the point
For the purpose of the present paper, we should put the abovementioned fact into the framework of the theory of the space group symmetry [13] [14], from which we will need only a few basic ideas
Summary
Graphene is a two-dimensional crystal of carbon atoms, which form a honeycomb lattice with the point symmetry described by the group D6h . The gap opening in the high symmetry points for the hexagonal lattices due to interaction with the interface was considered in [8]. (2014) Opening of a Gap in Graphene Due to Supercell Potential: Group Theory Point of View.
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