Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
arXiv:2108.09532 · doi:10.7566/JPSJ.91.034002
Abstract
The two-particle vertex function is crucial for the diagrammatic extensions beyond DMFT for the nonlocal fluctuation. However, estimating the two-particle quantities is still a challenging task. In this study, we propose a simplification of the local two-particle full vertex and, using the simplified full vertex, we develop two methods to take into account the nonlocal fluctuation. We apply these methods to several models and confirm that our methods can capture important behaviors such as the pseudo gap in the DMFT + nonlocal calculation. In addition, the numerical costs are largely reduced compared to the conventional methods.
arXiv comment18 pages, 17 figures, 1table. arXiv admin note: substantial text overlap with arXiv:2101.04466
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