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arXiv 1406.3589cond-mat.mes-hall
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窄电场偏压扶手椅型石墨烯纳米带中的杂质电子

Impurity electrons in narrow electric field-biased armchair graphene nanoribbons

Boris S. Monzon, Peter Schmelcher

摘要:

我们提出了一个分析研究的准库仑杂质态的窄间隙扶手椅型石墨烯纳米管(GNR)在存在一个均匀的外部电场平行于带轴定向。带约束的影响被认为是远远大于杂质电场的影响,杂质电场又大大超过外部电场。在这些条件下,我们采用绝热近似,假设平行(“慢”)和垂直(“快”)的运动带轴是分开的绝热。在“快”运动引起的孤立尺寸量子化子带近似下,以显式形式计算了杂质电子的复能量。这些能量的实部和虚部分别决定了准离散态的结合能和宽度。随着电场和带宽的增加,能带宽度增加。后者形成了维度电离机制的背景。研究输运问题的基本工具-S矩阵可以由显式表示的连续谱波函数的相位简单地导出。在双子带近似下,我们计算了由电场和杂质态之间Fano共振耦合的联合作用所引起的杂质态的完整宽度。

英文摘要:

We present an analytical investigation of the quasi-Coulomb impurity states in a narrow gapped armchair graphene nanoribbon (GNR) in the presence of a uniform external electric field directed parallel to the ribbon axis. The effect of the ribbon confinement is taken to be much greater than that of the impurity electric field, which in turn considerably exceeds the external electric field. Under these conditions we employ the adiabatic approximation assuming that the motion parallel ("slow") and perpendicular ("fast") to the ribbon axis are separated adiabatically. In the approximation of the isolated size-quantized subbands induced by the "fast" motion the complex energies of the impurity electron are calculated in explicit form. The real and imaginary parts of these energies determine the binding energy and width of the quasi-discrete state, respectively. The energy width increases with increasing the electric field and ribbon width. The latter forms the background of the mechanism of dimensional ionization. The S-matrix - the basic tool of study of the transport problems can be trivially derived from the phases of the wave functions of the continuous spectrum presented in explicit form. In the double-subband approximation we calculate the complete widths of the impurity states caused by the combined effect of the electric field and the Fano resonant coupling between the impurity states of the discrete and continuous spectra associated with the ground and first excited size-quantized subbands.

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