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Equilibrium carrier mobility in disordered hopping systems

机译:无序跳变系统中的平衡载流子迁移率

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摘要

It is shown that the charge carrier mobility in a positionally and energetically disordered hopping system can be evaluated by averaging either the hopping rates or the hopping times over the thermal equilibrium energy distribution of localized carriers. However, at variance with averaging the hopping rates, averaging the hopping times can be correct only if the energy dependence of the carrier energy relaxation time is also taken into consideration, The temperature and concentration dependences of the equilibrium carrier mobility were calculated by averaging the hopping rates, The consideration was based on the variable-range hopping approach with full account for the interplay between jump distance and energy difference. However, the obtained results prove that, in good quantitative agreement with both Monte Carlo simulations and experimental data, the mobility can be approximated as a product of two functions. The first function depends almost solely upon the temperature and reveals only a weak concentration dependence while the second mainly governs the concentration dependence of the mobility and is almost independent of the temperature. [References: 17]
机译:结果表明,可以通过对局部载流子的热平衡能量分布上的跳变率或跳变时间进行平均,来评估位置和能量无序跳变系统中的电荷载流子迁移率。但是,在平均跳变率的情况下,只有考虑载流子能量弛豫时间的能量依赖性,平均跳变时间才是正确的。通过平均跳变来计算平衡载流子迁移率的温度和浓度依赖性。率是基于可变范围跳变方法,充分考虑了跳跃距离和能量差之间的相互作用。然而,获得的结果证明,与蒙特卡洛模拟和实验数据在良好的定量一致性上,可以将迁移率近似为两个函数的乘积。第一个函数几乎完全取决于温度,并且仅显示出较弱的浓度依赖性,而第二个函数主要控制迁移率的浓度依赖性,并且几乎与温度无关。 [参考:17]

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