Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
复制标题
DOI：
10.1103/revmodphys.90.025003
复制
发表时间：
2017-04
影响因子：
44.1
通讯作者：
G. Rohringer;H. Hafermann;A. Toschi;A. Katanin;A. Antipov;M. Katsnelson;A. Rubtsov;K. Held
中科院分区：
文献类型：
--
作者：
G. Rohringer;H. Hafermann;A. Toschi;A. Katanin;A. Antipov;M. Katsnelson;A. Rubtsov;K. Held
强电子相关性是固态理论面临的最大挑战之一。我们回顾了最近开发的解决这个问题的方法，从动态平均场理论（DMFT）的局部、非常重要的相关性开始。除此之外，所有长度尺度上的非局部相关性都是通过费曼图生成的，以局部两粒子顶点而不是裸库仑相互作用作为构建块。通过 DMFT 的这些图解扩展，可以在强相关电子系统中解决远程电荷、磁和超导波动以及（量子）临界性。我们概述了所取得的成功和成果（迄今为止主要针对哈密顿量模型），并概述了现实材料计算的未来前景。
Strong electronic correlations pose one of the biggest challenges to solid state theory. We review recently developed methods that address this problem by starting with the local, eminently important correlations of dynamical mean field theory (DMFT). On top of this, non-local correlations on all length scales are generated through Feynman diagrams, with a local two-particle vertex instead of the bare Coulomb interaction as a building block. With these diagrammatic extensions of DMFT long-range charge-, magnetic-, and superconducting fluctuations as well as (quantum) criticality can be addressed in strongly correlated electron systems. We provide an overview of the successes and results achieved---hitherto mainly for model Hamiltonians---and outline future prospects for realistic material calculations.