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Screening and effective RPA-like charge susceptibility in the extended Hubbard model
by Aiman Al-Eryani, Sarah Heinzelmann, Kilian Fraboulet, Friedrich Krien, Sabine Andergassen
Submission summary
Authors (as registered SciPost users): | Aiman Al-Eryani · Sabine Andergassen |
Submission information | |
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Preprint Link: | https://arxiv.org/abs/2412.07323v1 (pdf) |
Date submitted: | 2024-12-13 17:35 |
Submitted by: | Al-Eryani, Aiman |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
Specialties: |
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Approaches: | Theoretical, Computational |
Abstract
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.
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- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing