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Distribution of charge carrier transport properties in organic semiconductors with Gaussian disorder

机译:有机电荷中载流子传输特性的分布   高斯无序的半导体

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摘要

The charge carrier drift mobility in disordered semiconductors is commonlygraphically extracted from time-of-flight (ToF) photocurrent transientsyielding a single transit time. However, the term transit time is ambiguouslydefined and fails to deliver a mobility in terms of a statistical average.Here, we introduce an advanced computational procedure to evaluate ToFtransients, which allows to extract the whole distribution of transit times andmobilities from the photocurrent transient, instead of a single value. Thismethod, extending the work of Scott et al. (Phys. Rev. B 46, 8603), isapplicable to disordered systems with a Gaussian density of states (DOS) andits accuracy is validated using one-dimensional Monte Carlo simulations. Wedemonstrate the superiority of this new approach by comparing it to the commongeometrical analysis of hole ToF transients measured on poly(3-hexylthiophene-2,5-diyl) (P3HT). The extracted distributions provide access to avery detailed and accurate analysis of the charge carrier transport. Forinstance, not only the mobility given by the mean transit time, but also themean mobility can be calculated. Whereas the latter determines the macroscopicphotocurrent, the former is relevant for an accurate determination of theenergetic disorder parameter $\sigma$ within the Gaussian disorder model (GDM).$\sigma$ derived by using the common geometrical method is, as we show,underestimated instead.
机译:通常从飞行时间(ToF)光电流瞬态响应单个传输时间中提取无序半导体中的载流子漂移迁移率。然而,术语过渡时间定义不明确,无法提供统计平均值的迁移率。在此,我们引入了一种先进的计算程序来评估ToFtransients,该方法可以从光电流瞬变中提取过渡时间和迁移率的整个分布,而不是单个值。这种方法,扩展了斯科特等人的工作。 (Phys.Rev.B 46,8603),适用于具有高斯状态密度(DOS)的无序系统,并且其精度已使用一维蒙特卡洛模拟进行了验证。通过与在聚(3-己基噻吩-2,5-二基)(P3HT)上测量的空穴ToF瞬变的通用几何分析进行比较,来证明这种新方法的优越性。提取的分布可提供对电荷载流子传输的平均详细且准确的分析。例如,不仅可以计算出平均渡越时间给出的迁移率,还可以计算出主题迁移率。后者确定了宏观光电流,而前者与准确确定高斯疾病模型(GDM)中的能量障碍参数$ \ sigma $有关。如我们所示,使用常见的几何方法得出的$ \ sigma $被低估了代替。

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