Screening and effective RPA-like charge susceptibility in the extended Hubbard model
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916515540893696 |
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| author | Al-Eryani, Aiman Heinzelmann, Sarah Fraboulet, Kilian Krien, Friedrich Andergassen, Sabine |
| author_facet | Al-Eryani, Aiman Heinzelmann, Sarah Fraboulet, Kilian Krien, Friedrich Andergassen, Sabine |
| contents | We generalize the recently introduced single-boson exchange formalism to nonlocal interactions. In the functional renormalization group application to the extended Hubbard model in two dimensions, we show that the flow of the rest function can be neglected up to moderate interaction strengths. We explore the physics arising from the interplay between onsite and nearest-neighbor interactions in various parameter regimes by performing a fluctuation diagnostics. Differently from the magnetic and superconducting susceptibilities, the charge susceptibility appears to be described by the random phase approximation (RPA). We show that this behavior can be traced back to cancellations in the renormalization of the density fermion-boson coupling. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_07323 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Screening and effective RPA-like charge susceptibility in the extended Hubbard model Al-Eryani, Aiman Heinzelmann, Sarah Fraboulet, Kilian Krien, Friedrich Andergassen, Sabine Strongly Correlated Electrons We generalize the recently introduced single-boson exchange formalism to nonlocal interactions. In the functional renormalization group application to the extended Hubbard model in two dimensions, we show that the flow of the rest function can be neglected up to moderate interaction strengths. We explore the physics arising from the interplay between onsite and nearest-neighbor interactions in various parameter regimes by performing a fluctuation diagnostics. Differently from the magnetic and superconducting susceptibilities, the charge susceptibility appears to be described by the random phase approximation (RPA). We show that this behavior can be traced back to cancellations in the renormalization of the density fermion-boson coupling. |
| title | Screening and effective RPA-like charge susceptibility in the extended Hubbard model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2412.07323 |