Using the tight binding and Pariser-Parr-Pople (PPP) model Hamiltonians, westudy the electronic structure and optical response of multilayer armchairgraphene nanoribbons (AGNRs), both with and without a gate bias. In particular,the influence of the number of layers ($n$), and the strength of the electricfield applied perpendicular to layers, for different types of edge alignments,is explored on their electro-optical properties. As a function of increasing$n$, the energy gap initially decreases, eventually saturating for large $n$.The intensity of the linear optical absorption in these systems also increaseswith increasing $n$, and depends crucially on the polarization direction of theincident light, and the type of the edge alignment. This provides an efficientway of determining the nature of the edge alignment, and $n$, in theexperiments. In the presence of a gate bias, the intensity of opticalabsorption behaves in a nontrivial way. The absorption becomes more intense forthe large fields in narrow ribbons exhibiting a red shift of the band gap withthe increasing field strength, while in broad ribbons exhibiting a blue shift,the absorption becomes weaker. However, for smaller electric fields, theabsorption intensity exhibits more complicated behavior with respect to thefield strength. Thus, the effect of the gate bias on optical absorptionintensity in multilayer AGNRs is in sharp contrast to the bilayer graphene,which exhibits only enhancement of the absorption intensity with the increasingelectric field.
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机译:使用紧密结合和Pariser-Parr-Pople(PPP)模型哈密顿量,可以研究具有或不具有门偏压的多层扶手椅石墨烯纳米带(AGNR)的电子结构和光学响应。特别是,针对不同类型的边缘排列,研究了层数($ n $)的影响以及垂直于层施加的电场强度对它们的电光性能的影响。随着n $的增加,能隙开始减小,最终随着n $的增加而饱和。这些系统中线性光学吸收的强度也随n $的增加而增加,并且主要取决于入射光的偏振方向,以及边缘对齐方式的类型。这提供了一种在实验中确定边缘对齐和$ n $的性质的有效方法。在存在栅极偏置的情况下,光吸收的强度表现得很平常。对于窄带的大电场,随着带隙强度的增加,带隙发生红移,吸收变强。而对于带蓝移的宽带,吸收变弱。然而,对于较小的电场,吸收强度相对于场强表现出更复杂的行为。因此,栅极偏压对多层AGNRs中光吸收强度的影响与双层石墨烯形成了鲜明的对比,双层石墨烯仅随电场的增加而显示出吸收强度的增强。
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