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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.15629 |
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| _version_ | 1866909229442400256 |
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| author | Kiese, Dominik Wentzell, Nils Krivenko, Igor Parcollet, Olivier Held, Karsten Krien, Friedrich |
| author_facet | Kiese, Dominik Wentzell, Nils Krivenko, Igor Parcollet, Olivier Held, Karsten Krien, Friedrich |
| contents | We introduce a diagrammatic multi-scale approach to the Hubbard model based on the interaction-irreducible (multi-boson) vertex of a small cluster embedded in a self-consistent medium. The vertex captures short-ranged correlations up to the length scale of the cluster, while long-ranged correlations are recovered from a set of diagrammatic equations for the Hedin three-leg vertex. By virtue of the crossing symmetry, the Fierz decoupling ambiguity of the Hubbard interaction is resolved exactly. Our benchmarks for the half-filled Hubbard model on the square lattice are in very good agreement with numerically exact diagrammatic Monte Carlo simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Embedded multi-boson exchange: A step beyond quantum cluster theories Kiese, Dominik Wentzell, Nils Krivenko, Igor Parcollet, Olivier Held, Karsten Krien, Friedrich Strongly Correlated Electrons We introduce a diagrammatic multi-scale approach to the Hubbard model based on the interaction-irreducible (multi-boson) vertex of a small cluster embedded in a self-consistent medium. The vertex captures short-ranged correlations up to the length scale of the cluster, while long-ranged correlations are recovered from a set of diagrammatic equations for the Hedin three-leg vertex. By virtue of the crossing symmetry, the Fierz decoupling ambiguity of the Hubbard interaction is resolved exactly. Our benchmarks for the half-filled Hubbard model on the square lattice are in very good agreement with numerically exact diagrammatic Monte Carlo simulations. |
| title | Embedded multi-boson exchange: A step beyond quantum cluster theories |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.15629 |