Chiral decomposition in the electronic structure of graphene multilayers

Abstract

We show that the low-energy electronic structure of arbitrarily stacked graphene multilayers with nearest-neighbor interlayer tunneling consists of chiral pseudospin doublets. Although the number of doublets in an $N$-layer system depends on the stacking sequence, the pseudospin chirality sum is always $N$. $N$-layer stacks have $N$ distinct Landau levels at $E=0$ for each spin and valley, and quantized Hall conductivity ${\ensuremath{\sigma}}_{xy}=\ifmmode\pm\else\textpm\fi{}(4{e}^{2}∕h)(N∕2+n)$, where $n$ is a non-negative integer.