电导率的Drude-Smith模型：从头推导与诠释
材料科学
2021-01-26 v2
摘要
Drude-Smith模型成功地描述了范围惊人广泛的各种系统的频率与相位分辨的电导率数据，尤其在太赫兹区域。然而其诠释仍不清楚，因为其原始推导存在缺陷。我们使用一个直观的物理框架，针对微观自由电荷被局域化散射体在介观尺度上累积的系统，推导Drude-Smith公式。在此框架内，该模型使我们能够量化电荷的微观动量弛豫时间以及介观局域化电荷的比例，此外还有电导率的直流极限。我们表明，Drude-Smith模型在不同的Drude-Lorentz模型中独一无二，因为自由载流子的弛豫时间也决定了束缚电荷共振的频率与阻尼。
引用
@article{arxiv.2008.07913,
title = {The Drude-Smith Model for Conductivity: de novo Derivation and Interpretation},
author = {Keno L. Krewer and Marco Ballabio and Mischa Bonn},
journal= {arXiv preprint arXiv:2008.07913},
year = {2021}
}
备注
The assumptions made in eq. (6) / fig 1 b) are self- contradictory. It is no legitimate to assume that the incoming current stops instantaneously but the back current does not. The state of the art (Ku\v{z}el, P. & N\v{e}mec, H. Adv. Opt. Mater. 8, 1--23 (2020).) is that Drude-Smith is an empirical parameterisation and a general microscopic interpretation of the parameters alone should not be done