论文标题
在具有粗糙表面的金属的电导率上
On the electrical conductivity of metals with a rough surface
论文作者
论文摘要
我们讨论了使用量子kubo-greenwood形式主义和半古典的富奇 - sondheimer方法对金属中电子传导的表面粗糙度影响。这里的主要目的是比较这些方法并阐明一些微妙的概念问题。这样的问题之一是涉及沿粗糙表面折断的翻译对称性的条件。这种对称性通常是在现有工作中假定的，但并不总是具有适当的理由。另一个涉及现象学参数的物理含义（用$ p $表示）直觉在半古典理论中引入。该参数称为镜面参数或有时为\ textit {fuchs}参数，在表面粗糙度的实验研究中起着重要作用，但到目前为止缺乏严格的微观定义。第三个问题是关于这些方法获得的电导率的有效性域。该域的错位可能导致对包括表面血浆波的多种电动力现象中的表面效应错误分析。
We discuss surface roughness effects on the conduction of electrons in metals using both the quantal Kubo-Greenwood formalism and the semi-classical Fuchs-Sondheimer method. The main purpose here is to compare these methods and clarify a few subtle conceptual issues. One of such issues is concerned with the conditions under which the broken translation symmetry along a rough surface may be restored. This symmetry has often been presumed in existing work but not always with proper justifications. Another one relates to the physical meaning of a phenomenological parameter (denoted by $p$) intuitively introduced in the semi-classical theory. This parameter, called the specularity parameter or sometimes the \textit{Fuchs} parameter, plays an important role in the experimental studies of surface roughness but has so far lacked a rigorous microscopic definition. The third issue arises as to the domain of validity for the electrical conductivity obtained in those methods. A misplacement of the domain may have resulted in erroneous analysis of surface effects in a variety of electrodynamic phenomena including surface plasma waves.
