论文标题
相关电子模型的扩展动力学场理论
Extended Dynamical Mean Field Theory for Correlated Electron Models
论文作者
论文摘要
强相关的电子系统中的一个总体问题是量子相的景观是如何从电子相关中出现的。扩展动态平均场理论（EDMFT）的方法已为相关电子的清洁晶格模型开发。对于此类模型，不仅可以在现场哈伯德的相互作用很重要，而且场地相互作用也很重要。重要的是，EDMFT方法会动态处理现场相互作用之间的相互作用。最初，它是针对具有间互作用相互作用的两波段安德森 - 莱顿类型的模型制定的，以及具有类似于Heisenberg的Sertite Heisenberg术语的一频哈伯德类型，这些术语通常称为Hubbard-Heisenberg模型。对于Kondo晶格模型，EDMFT方法结合了局部Kondo和Siter Siter Ruderman-Kittel-Kitel-Kasuya-Yosida（Rkky）相互作用之间的动态竞争。在这些模型中，基于EDMFT的分析导致了Kondo毁灭的概念，后者在理解量子关键重型费米昂金属方面起着核心作用。在本文中，我们总结了EDMFT方法，并调查了其应用程序，特别是针对Kondo/Anderson Lattice模型。我们还讨论了进一步开发EDMFT方法的前景，以及将其应用于各种新环境中的相关物理问题。后者中有轨道选择性的莫特物理学，它们既是在铁的超导体和具有拓扑平坦频带的沮丧的散装系统中产生的。
An overarching question in strongly correlated electron systems is how the landscape of quantum phases emerges from electron correlations. The method of extended dynamical mean field theory (EDMFT) has been developed for clean lattice models of the correlated electrons. For such models, not only onsite Hubbard-like interactions are important, but so are intersite interactions. Importantly, the EDMFT method treats the interplay between the onsite and intersite interactions dynamically. It was initially formulated for models of the two-band Anderson-lattice type with intersite interactions, as well as for the one-band Hubbard type with intersite Heisenberg-like terms that are often called Hubbard-Heisenberg models. In the case of Kondo lattice models, the EDMFT method incorporates a dynamical competition between the local Kondo and intersite Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions. In these models, the EDMFT-based analyses led to the notion of Kondo destruction, which has played a central role in the understanding of quantum critical heavy fermion metals. In this article, we summarize the EDMFT method, and survey its applications, particularly for Kondo/Anderson lattice models. We also discuss the prospect for further developing the EDMFT method, as well as for applying it to address the correlation physics in a variety of new settings. Among the latter are the orbital-selective Mott physics that arises both in iron-based superconductors and in frustrated bulk systems with topological flat bands.
