A general relation between stacking order and Chern index: a topological map of minimally twisted bilayer graphene
S. Theil,
M. Fleischmann,
R. Gupta
et al.
Abstract:We derive a general relation between the stacking vector u describing the relative shift of two layers of bilayer graphene and the Chern index. We find C = ν − sign (|VAB| − |VBA|), where ν is a valley index and |V αβ | the absolute value of stacking potentials that depend on u and that uniquely determine the interlayer interaction; AA stacking plays no role in the topological character. With this expression we show that while ideal and relaxed minimally twisted bilayer graphene appear so distinct as to be alm… Show more
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