Electron relaxation in metals: Theory and exact analytical solutions
Electron relaxation in metals: Theory and exact analytical solutions
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DOI：
10.1103/physrevb.78.174514
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发表时间：
2008-11-01
影响因子：
3.7
通讯作者：
Alexandrov, A. S.
中科院分区：
文献类型：
--
作者：
Kabanov, V. V.;Alexandrov, A. S.
电子的非平衡动力学具有重要的实验和理论价值，为金属和其他冷等离子体中的库仑和电子-声子相互作用提供了重要的微观参数。由于碰撞积分的数学复杂性，电子弛豫理论通常依赖于电子处于温度随时间变化的“准平衡”（QE）的假设，或者依赖于随时间变化的玻尔兹曼方程的数值积分。我们转换的积分玻尔兹曼方程的偏微分薛定谔型方程的虚时间在一个一维的“坐标”空间的能量倒数，允许在这两种情况下的电子-电子和电子-声子弛豫的精确解析解。精确的弛豫速率进行了比较，在高温和低温下的QE弛豫速率。
The nonequilibrium dynamics of electrons is of a great experimental and theoretical value, providing important microscopic parameters of the Coulomb and electron-phonon interactions in metals and other cold plasmas. Because of the mathematical complexity of collision integrals, theories of electron relaxation often rely on the assumption that electrons are in a "quasiequilibrium" (QE) with a time-dependent temperature, or on the numerical integration of the time-dependent Boltzmann equation. We transform the integral Boltzmann equation to a partial differential Schrodinger-type equation with imaginary time in a one-dimensional "coordinate" space reciprocal to energy which allows for exact analytical solutions in both cases of electron-electron and electron-phonon relaxations. The exact relaxation rates are compared with the QE relaxation rates at high and low temperatures.