Abstract

Based on the equation-of-motion approach, a real-space Green’s function method is proposed, which allows us to fully consider the disorder effect in Hubbard model. Meanwhile, we improved the decoupling scheme to obtain the quasi particle resonance peak on the Fermi energy, consistent with the DMFT method with Quantum Monte Carlo solver. After introducing the Anderson disorder into the system, the three peak structure in spectrum density still exists at intermediate regime of Coulomb interaction. However, the electronic state tends to be restricted in some small puddles in presence of on-site disorder, suggesting the Anderson localization has been introduced in the Kondo peak.

Graphical abstract

中文翻译：

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无序哈伯德模型的实空间格林函数方法

摘要

基于运动方程方法，提出了一种实空间格林函数方法，使我们能够充分考虑哈伯德模型中的无序效应。同时，我们改进了解耦方案，以在费米能量上获得准粒子共振峰，这与使用量子蒙特卡罗求解器的DMFT方法一致。将安德森障碍引入系统后，库仑相互作用的中间态仍存在光谱密度的三个峰结构。但是，在存在现场障碍的情况下，电子状态倾向于被限制在一些小水坑中，这表明在近藤峰中已引入了安德森定位。

图形概要