论文标题
由于电子散射引起的电导率的严格结果
Rigorous results for the electrical conductivity due to electron-phonon scattering
论文作者
论文摘要
我们为在低温极限的三个空间维度中提供了玻尔兹曼方程的严格解决方案。各种散射速率的不同温度缩放将温度变成了经典动力学理论中无法使用的控制参数，并允许严格证明Bloch的$ T^5 $定律。还讨论了Boltzmann方程与Kubo公式之间的关系，以及通过语音以外的激发对电子散射的影响。
We present a rigorous solution of the Boltzmann equation for the electron-phonon scattering problem in three spatial dimensions in the limit of low temperatures. The different temperature scaling of the various scattering rates turns the temperature into a control parameter that is not available in classical kinetic theory and allows for a rigorous proof of Bloch's $T^5$ law. The relation between the Boltzmann equation and the Kubo formula is also discussed, as well as implications for the scattering of electrons by excitations other than phonons.
