Abstract
We calculate the spectrum of states that are localized at the interface
between two regions of opposite bias in trilayer graphene (TLG). These
potential profiles, also known as potential kinks, have been predicted
to support two different branches of localized states for the case of
bilayer graphene, and show similarities to the surface states of
topological insulators. On the other hand, we found that ABC stacked TLG
exhibits three different unidimensional branches of states in each
valley that are confined to the kink interface. They have the property E(k(y)) = -E(-k(y)) when belonging to the same valley and E-K(k(y)) =
-E-K' (-k(y)). A kink-antikink potential profile opens a gap in the
spectrum of these one-dimensional states.
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