A NEW THEORY OF SIZE EFFECT IN ELECTRICAL CONDUCTION
A NEW THEORY OF SIZE EFFECT IN ELECTRICAL CONDUCTION
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DOI：
10.1088/0370-1328/85/6/312
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发表时间：
1965-01-01
影响因子：
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通讯作者：
PARROTT, JE
中科院分区：
文献类型：
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作者：
PARROTT, JE
传统的边界散射理论忽略了反射系数(P)对电子波矢的依赖关系。本文探讨了另一种可能性，即当镜面反射上的波矢变化超过一定值时，反射系数突然从1变为0。一个重要的结果是，就像最近在铋中观察到的那样，有效电导率不是随着导体的厚度而连续下降，而是趋于一个极限。对球面和椭球面都考虑了这一问题，并与以前的理论结果进行了比较。
Conventionally, the theory of boundary scattering ignores the dependence of the reflection coefficient (p) on the electron wave vector. An alternative possibility, that the reflection coefficient changes abruptly from 1 to 0 when the change of wave vector on specular reflection exceeds a certain value, is explored here. An important consequence is that, as recently observed in bismuth, the effective conductivity does not decrease continuously with thickness of the conductor, but tends to a limit. The problem is considered for both spherical and ellipsoidal Fermi surfaces and the predictions are compared with those of earlier theories.