Anomalous integer quantum Hall effect in AA-stacked bilayer graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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submitted to Physical Review B

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Recent experiments indicate that AA-stacked bilayer graphenes (BLG) could exist. Since the energy bands of the AA-stacked BLG are different from both the monolayer and AB-stacked bilayer graphenes, different integer quantum Hall effect in the AA-stacked graphene is expected. We have thus calculated the quantized Hall conductivity $\sigma_{xy}$ and also longitudinal conductivity $\sigma_{xx}$ of the AA-stacked BLG within the linear response Kubo formalism. Interestingly, we find that the AA-stacked BLG could exhibit both conventional insulating behavior (the $\bar{\nu}=0$ plateau) and chirality for $|\bar{\mu}|

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