SciPost logo

SciPost Submission Page

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
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
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
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.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing

Login to report or comment