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 ${\sigma }_{xy}=\pm (4e^2/h)(N/2+n)$ where $n$ is a non-negative integer.

5 pages, 5 figures; QHE eq corrected; added figure 4 and updated discussion

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