The effect of free electrons on lattice conduction
The effect of free electrons on lattice conduction
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DOI：
10.1080/14786435708243818
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发表时间：
1956-02
影响因子：
1.6
通讯作者：
J. Ziman
中科院分区：
文献类型：
--
作者：
J. Ziman
本文在假设电子-声子相互作用的条件下，计算了简并温度与晶格温度相当的抛物带中声子对电子的散射。热阻的贡献是由一个精确的公式，只受合理的假设声子-声子相互作用。随着温度的升高，声子的表观平均自由程首先减小为1/T（或者，如果电子很少，则为exp（a/T）），但达到最小值，然后增加为T 2。能量和动量守恒只允许电子分布的尾部对散射做出贡献。该模型被认为适用于p型锗，辐照蓝宝石和导电金刚石的某些观察。
Abstract The scattering of phonons by electrons is calculated, assuming the usual electron–phonon interaction, for a parabolic band whose degeneracy temperature is comparable with the temperature of the lattice. The contribution to the thermal resistance is given by an exact formula, subject only to justifiable assumptions concerning phonon–phonon interactions. With rising temperature the apparent mean free path of the phonons at first decreases as 1/T (or, if there are very few electrons, as exp (a/T)), but reaches a minimum and then increases as T 2. Energy and momentum conservation then allow only the tail of the electron distribution to contribute to the scattering. The model is thought to apply to certain observations on p-type germanium, irradiated sapphire and conducting diamond.