玻尔兹曼散射率与动力学平均场论散射率的比较
Comparing scattering rates from Boltzmann and dynamical mean-field theory
摘要：
利用Boltzmann散射方程和动力学平均场论计算了单轨道金属和双轨道带绝缘体的二维哈伯德模型中电子的散射率。作为两者之间的中间方法，我们还考虑了没有动量守恒的BSE。在弱相互作用和带状绝缘体的制度，后两个同意非常好的精度。另一方面，具有动量守恒的BSE显示出稍大的散射率，以及费米表面上这些散射率的动量微分。对于莫特绝缘体在强相互作用，DMFT电子散射率要大得多，违背了BSE描述。值得注意的是，带状绝缘体的散射率非常小，因为--与莫特绝缘体相反--实际上没有碰撞电离。
英文摘要：
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.
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