论文标题
比较鲍尔茨曼和动态平均场理论的散射速率
Comparing scattering rates from Boltzmann and dynamical mean-field theory
论文作者
论文摘要
我们通过Boltzmann散射方程（BSE）和动力学平均场理论（DMFT）来计算单孔金属和二维Hubbard模型中电子的散射速率。作为两者之间的中间方法，我们还考虑了BSE而没有动量保护。在较弱的互动制度和频段绝缘子中，最后两个同意非常良好的准确性。另一方面，具有动量保护的BSE显示出稍大的散射速率，并且在费米表面上的动量分化。对于强烈相互作用的Mott绝缘子，DMFT电子散射速率要大得多，并且无视BSE的描述。值得注意的是，频带绝缘体的散射速率非常小，因为与莫特绝缘子相比，几乎没有影响电离。
We compute scattering rates for electrons in the two-dimensional Hubbard model for a one-orbital metal and a two-orbital band insulator by means of the Boltzmann scattering equation (BSE) and dynamical mean-field theory (DMFT). As an intermediate method between both, we also consider the BSE without momentum conservation. In the weak interaction regime and for the band insulator, the last two agree to very good accuracy. The BSE with momentum conservation, on the other hand, shows slightly larger scattering rates, and a momentum differentiation of these on the Fermi surface. For the Mott insulator at strong interaction, the DMFT electron scattering rates are much larger and defy a BSE description. Noteworthy, the scattering rates for the band insulator are exceedingly small because -- in contrast to the Mott insulator -- there is virtually no impact ionization.
