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Gap generation in ABC-stacked multilayer graphene: screening vs band flattening

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arxiv 1310.1040 v2 pith:JX26P4E4 submitted 2013-10-03 cond-mat.str-el cond-mat.mes-hallhep-th

classification cond-mat.str-el cond-mat.mes-hallhep-th
keywords grapheneabc-stackedequationflatteningscreeningapproximationbandbands
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abstract

We calculate the dynamical polarization function and solve a self-consistent gap equation in the random phase approximation in undoped ABC-stacked n-layer graphene. We find that the gap is maximal in trilayer graphene and decreases monotonously for $n \ge 4$ because the effects of screening in the gap equation win over those connected with the flattening of electron bands as n increases.

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