Chirality Sum Rule in Graphene Multilayers

ORAL

Abstract

We show that the low energy electronic structure of arbitrarily stacked graphene multilayers with nearest-neighbor interlayer tunneling consists solely 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 $N$. It follows that $N$-layer stacks always have $N$ distinct Landau levels at $E=0$ for each spin and valley, and that the quantized Hall conductivity $\sigma_{xy} = \pm(4 e^2/h)(N/2+n)$ where $n$ is a non-negative integer.

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Authors

  • Hongki Min

    University of Texas at Austin, Department of Physics, University of Texas, Austin, TX 78712, The University of Texas at Austin

  • Allan MacDonald

    University of Texas at Austin, University of Texas, Dept. of Physics, Univ. of Texas at Austin, Department of Physics, University of Texas, Austin, TX 78712, Department of Physics, The University of Texas at Austin, Austin Texas 78712, The University of Texas at Austin, Department of Physics, University of Texas at Austin