Graphene Nanoribbon Fermi Energy Model in Parabolic Band Structure

M. Ahmadi, R. Ismail
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引用次数: 5

Abstract

Graphene nanoribbon (GNR) has possibility to overcome the carbon nanotube chirality challenge as a nanoscale device channel. Because of one dimensional behavior of GNR, carrier statistic study is attractive. More research work has been done on carrier statistic study of GNR especially in Boltzmann approximation (Nondegenerate regime). Based on quantum confinement effect to improve the fundamental studies in degenerate regime we focused on, parabolic part of GNR band energy. Our method demonstrates that the band energy of GNR near to the minimum band energy is parabolic. In this part of the band structure, Fermi-Dirac integrals are sufficient for carrier concentration study. Similar to any other one dimensional device in nondegenerate regime Fermi energy shows temperature dependent behavior, on the other hand normalized Fermi energy with respect to the band edge is function of carrier concentration in the degenerate regime. However band structure is not parabolic in other parts of the band energy and numerical solution of GNR Femi-Dirac integrals are needed
抛物带结构的石墨烯纳米带费米能量模型
石墨烯纳米带(GNR)作为纳米级器件通道具有克服碳纳米管手性挑战的可能性。由于GNR的一维特性,载波统计研究具有很大的吸引力。在GNR的载波统计研究方面,特别是在玻尔兹曼近似(非简并状态)方面做了更多的研究工作。基于量子约束效应来改进简并态的基础研究,重点研究了GNR波段能量的抛物线部分。我们的方法证明了GNR在最小带能附近的带能是抛物线的。在这部分带结构中,费米-狄拉克积分足以用于载流子浓度的研究。与任何其他一维器件在非简并状态下的费米能量表现出温度依赖行为类似,另一方面,在简并状态下,归一化的费米能量相对于能带边缘是载流子浓度的函数。然而,在带能量的其他部分,带结构不是抛物线的,需要对GNR的Femi-Dirac积分进行数值求解
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