用于确定有效库仑相互作用的模型映射RPA
Model-mapped RPA for determining the effective Coulomb interaction
摘要：
本文提出了一种从第一性原理计算的结果得到模型哈密顿量的相互作用部分的新方法。模型中包含的有效相互作用是基于随机相位近似（RPA）确定的。与以前的方法，如投影RPA或约束RPA相比，新方法在确定模型中的相互作用时考虑了极化效应的长程部分。在讨论了以往RPA方法存在的问题后，我们将给出新方法的公式，并展示它如何适用于HgBa $_2$ CuO $_4$的单带哈伯德模型。
英文摘要：
We present a new method to obtain interaction part of a model Hamiltonian from the result of the first-principles calculation. The effective interaction contained in the model is determined based on the random phase approximation (RPA). In contrast to previous methods such as projected RPA or constrained RPA, the new method takes into account the long-range part of the polarization effect when determining the interaction in the model. After we discuss problems in previous RPA methods, we will give the formulation of the new method, and show how it works for the single-band Hubbard model of HgBa$_2$CuO$_4$.
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