Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916759196401664 |
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| author | Mizuno, Ryota Kuroki, Kazuhiko Ochi, Masayuki |
| author_facet | Mizuno, Ryota Kuroki, Kazuhiko Ochi, Masayuki |
| contents | Estimating the local two-particle vertex functions, which are crucial for capturing the spatial fluctuation of the effective field beyond the single-site DMFT, is still challenging. In our previous work, we developed a computationally efficient method for estimating the local full-vertex in DMFT, where we can obtain the local two-particle full-vertex from the one-particle self-energy. In this study, we further enhance our method by refining its formulation to be more faithful to the diagrammatic structure of the full-vertex. With this improvement, we can qualitatively reproduce the characteristic frequency structures of the full-vertex obtained by the numerically exact methods. In particular, the improved version of the simplified full-vertex captures a sharp value change in the cross structure. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_19596 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior Mizuno, Ryota Kuroki, Kazuhiko Ochi, Masayuki Strongly Correlated Electrons Estimating the local two-particle vertex functions, which are crucial for capturing the spatial fluctuation of the effective field beyond the single-site DMFT, is still challenging. In our previous work, we developed a computationally efficient method for estimating the local full-vertex in DMFT, where we can obtain the local two-particle full-vertex from the one-particle self-energy. In this study, we further enhance our method by refining its formulation to be more faithful to the diagrammatic structure of the full-vertex. With this improvement, we can qualitatively reproduce the characteristic frequency structures of the full-vertex obtained by the numerically exact methods. In particular, the improved version of the simplified full-vertex captures a sharp value change in the cross structure. |
| title | Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.19596 |