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Title:	Anomalous integer quantum Hall effect in AA -stacked bilayer graphene
Authors:	Hsu, Y.-F.;Guo, Guang-Yu 郭光宇
Contributors:	應用物理研究所
Date:	2010-10
Issue Date:	2015-06-10 15:00:48 (UTC+8)
Abstract:	Recent experiments indicate that AA -stacked bilayer graphenes (BLGs) 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 therefore calculated the quantized Hall conductivity σxy and also longitudinal conductivity σxx 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 ν̄ =0 plateau) and chirality for \| μ̄ \| <t, where ν̄ is the filling factor, μ̄ is the chemical potential, and t is the interlayer hopping energy, in striking contrast to the monolayer graphene and AB -stacked BLG. We also find that for \| μ̄ \| ≠ [(√ n2 +√ n1) / (√ n2 -√ n1)] t, where n1 =1,2,3,..., n2 =2,3,4,..., and n2 > n1, the Hall conductivity is quantized as σxy =± 4 e2 h n, n=0,1,2,..., if \| μ̄ \| <t and σxy =± 4 e2 h n, n=1,2,3,..., if \| μ̄ \| >t. However, if \| μ̄ \| = [(√ n1 +√ n2) / (√ n 2 -√ n1)] t, the ν̄ =±4 (n 1 + n2) n plateaus are absent, where n=1,2,3,... Furthermore, we find that when the magnetic field B=π t2 /Neh υF2, N=1,2,3,..., the ν̄ =0 plateau across μ̄ =0 would disappear and the 8 e2 /h step at μ̄ =t would occur. Finally, we show that in the low-disorder and high-magnetic-field regime, σxx →0, as long as the Fermi level is not close to a Dirac point. © 2010 The American Physical Society.
Relation:	Physical Review B - Condensed Matter and Materials Physics, Volume 82, Issue 16, 論文編號 165404
Data Type:	article
DOI link:	http://dx.doi.org/10.1103/PhysRevB.82.165404
DOI:	10.1103/PhysRevB.82.165404
Appears in Collections:	[Graduate Institute of Applied Physics] Periodical Articles

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