One-dimensional hopping transport in disordered organic solids. I. Analytic calculations
One-dimensional hopping transport in disordered organic solids. I. Analytic calculations
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DOI：
10.1103/physrevb.63.094201
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发表时间：
2001-03-01
影响因子：
3.7
通讯作者：
Wendorff, JH
中科院分区：
文献类型：
--
作者：
Cordes, H;Baranovskii, SD;Wendorff, JH
分析计算的温度和场的依赖性的跳跃漂移迁移率的电荷载流子在强各向异性无序固体中的运输可以被视为一维。得到的解决方案是精确的毛皮跳跃过程与非相互作用的载流子和载流子过渡到最近的网站在一个一维链。只有这样的跃迁在局域态的空间能量分布强相关的系统中才是必要的。Kohary et nl.，以下论文，B 63，094202（2001）]。比较得到的结果与对称和不对称的过渡率。结果表明，介观效应发挥了至关重要的作用，即使是相当长的链与数百个本地化网站。此外，不仅漂移迁移率的大小，而且它的温度依赖性是由链长的影响。一个建议的理论描述提供了一个一般性的基础，在一维无序有机固体，如柱状dissolved液晶玻璃的传输过程的治疗。
Analytic calculations are carried out for temperature and field dependences of the hopping drift mobility of charge carriers in strongly anisotropic disordered solids where transport can be treated as one dimensional. The solutions obtained are exact fur hopping processes with noninteracting carriers and carrier transitions to the nearest sites in a one-dimensional chain. Only such transitions are essential in systems with strongly correlated space-energy distributions of localized states [see K. Kohary et nl., following paper, Phys. Rev. B 63, 094202 (2001)]. Comparison is given for results obtained with symmetrical and asymmetrical transition rates. It is shown that mesoscopic effects play an essential role even for rather long chains with hundreds of localization sites. Moreover, not only the magnitude of the drift mobility, but also its temperature dependence is influenced by the chain length. A suggested theoretical description provides a general basis for the treatment of transport processes in one-dimensional disordered organic solids, such as columnar discotic liquid-crystalline glasses.