使用Raleigh-Schrödinger微扰理论的Anderson模型的强无序重整化群方法
Strong-disorder renormalization group approach to the Anderson model using Raleigh-Schrödinger perturbation theory
AI总结：
本文使用标准Rayleigh-Schrödinger微扰理论实现Anderson模型的强无序重整化群方法，通过比较两种简并处理策略，发现处理简并能带来一定改进。
摘要：
先前的工作提出了一种用于Anderson模型的强无序重整化方法，并利用它计算了态密度和逆参与率 [Johri & Bhatt, Phys. Rev. B 90 060205(R) (2014)]。这因其具有扩展到更高维度和相互作用系统的潜力而备受关注。最初的提议使用了一种避免简并的非标准微扰理论方法。我们实现了相同的结构，但使用了标准的Rayleigh-Schrödinger微扰理论。这里确实出现了简并，我们考虑了两种方法：一种在存在简并时抑制重整化，另一种使用标准简并微扰理论处理最常见的简并形式。未处理简并的版本表现与原始提议相似，而加入简并处理则提供了一些改进。
英文摘要：
Previous work proposed a strong-disorder renormalization approach for the Anderson model, using it to calculate the density of states and the inverse participation ratio [Johri \& Bhatt, Phys.\ Rev.\ B {\bf 90} 060205(R) (2014)]. This is interesting because of the potential for expansion to higher dimensions and to interacting systems. The original proposal used a non-standard perturbation theory approach which avoided degeneracies. We implemented the same structure but with standard Rayleigh-Schrödinger perturbation theory. Here degeneracies do arise, and we consider two approaches, one in which renormalization is suppressed if degeneracy is present and a second in which the most common form of degeneracy is handled using standard degenerate perturbation theory. The version in which degeneracies are not handled performs similarly to the original proposal, and the addition of degeneracies provides some improvement.
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