Dynamical Vertex Approximation
Dynamical Vertex Approximation
复制标题
动态顶点近似
DOI：
10.1143/ptps.176.117
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
A. Toschi
中科院分区：
文献类型：
--
作者：
K. Held;A. Katanin;A. Toschi
动态顶点近似是动态平均场理论的费曼图解扩展，包括所有时间和长度尺度上的非局部相关性。讲义从戴森和镶木地板方程开始，对动态顶点近似进行了基本介绍。作为基准，给出了完全可溶解的苯哈伯德环的结果。回顾了最近的亮点，即 3D 哈伯德模型临界指数的计算以及 2D 长程反铁磁关联实际上将（顺磁）莫特转变转变为相互作用 U=0。
Dynamical vertex approximation is a Feynman diagrammatic extension of dynamical mean field theory, including non-local correlations on all time and length scales. Starting with the Dyson and the parquet equations, the lecture notes give an elementary introduction to the dynamical vertex approximation. As a benchmark, results for an exactly solvable benzene Hubbard ring are presented. Recent highlights, the calculation of the critical exponents of the Hubbard model in 3D and that long-range antiferromagnetic correlations in 2D actually shift the (paramagnetic) Mott transition to interaction U=0, are reviewed.