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Wiedemann-Franz Law for Molecular Hopping Transport.
Nano Letters ( IF 9.6 ) Pub Date : 2020-01-27 , DOI: 10.1021/acs.nanolett.9b04070
Galen T Craven 1 , Abraham Nitzan 1, 2
Affiliation  

The Wiedemann-Franz (WF) law is a fundamental result in solid-state physics that relates the thermal and electrical conductivity of a metal. It is derived from the predominant transport mechanism in metals: the motion of quasi-free charge-carrying particles. Here, an equivalent WF relationship is developed for molecular systems in which charge carriers are moving not as free particles but instead hop between redox sites. We derive a concise analytical relationship between the electrical and thermal conductivity generated by electron hopping in molecular systems and find that the linear temperature dependence of their ratio as expressed in the standard WF law is replaced by a linear dependence on the nuclear reorganization energy associated with the electron hopping process. The robustness of the molecular WF relation is confirmed by examining the conductance properties of a paradigmatic molecular junction. This result opens a new way to analyze conductivity in molecular systems, with possible applications advancing the design of molecular technologies that derive their function from electrical and/or thermal conductance.

中文翻译:

Wiedemann-Franz分子跳跃运输定律。

Wiedemann-Franz(WF)定律是固态物理学中与金属的导热性和导电性相关的基本结果。它源自金属中最主要的传输机制:准无电荷载流子的运动。在此,为分子系统开发了等效的WF关系,在该分子系统中,电荷载流子不是以自由粒子的形式运动,而是在氧化还原位点之间跳跃。我们推导了分子系统中电子跳跃产生的电导率和热导率之间的简明分析关系,发现标准WF定律中所表示的比率的线性温度依赖性已由与核反应相关的核重组能的线性依赖性所取代。电子跳跃过程。分子WF关系的鲁棒性通过检查范式分子结的电导特性来确认。该结果为分析分子系统中的电导率开辟了一条新途径,随着可能的应用推进了从电导和/或热导中获取其功能的分子技术的设计。
更新日期:2020-01-27
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