13 citations · 25 across the 9 of their papers we have counts for
9 papers
BosonFlow: A C++ codebase for dynamic fRG and single-boson exchange in correlated fermion systems
Aiman Al-Eryani, Miriam Patricolo, Kilian Fraboulet
We present a unified C++ implementation of the functional renormalization group and the parquet equations within the single-boson exchange formalism for several paradigmatic tight-…
Multiloop functional renormalization group from single bosons
Kilian Fraboulet, Aiman Al-Eryani, Sarah Heinzelmann +2
The functional renormalization group (fRG) is an established tool in the treatment of correlated electron systems, notably for the description of competing instabilities. In recent…
Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems
Aiman Al-Eryani, Marcel Gievers, Kilian Fraboulet
The functional renormalization group (fRG) is acknowledged as a powerful tool in quantum many-body physics and beyond. On the technical side, conventional implementations of the fR…
Screening and effective RPA-like charge susceptibility in the extended Hubbard model
Aiman Al-Eryani, Sarah Heinzelmann, Kilian Fraboulet +2
We generalize the recently introduced single-boson exchange formalism to nonlocal interactions. In the functional renormalization group application to the extended Hubbard model in…
Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group
Miriam Patricolo, Marcel Gievers, Kilian Fraboulet +6
We extend the recently introduced single-boson exchange formulation to the computation of the self-energy from the Schwinger--Dyson equation (SDE). In particular, we derive its exp…
Path-integral approaches to strongly-coupled quantum many-body systems
Kilian Fraboulet
The core of this thesis is the path-integral formulation of quantum field theory and its ability to describe strongly-coupled quantum many-body systems of finite size. Collective b…
Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D -symmetric -theory
Kilian Fraboulet, Jean-Paul Ebran
The present paper is the second of a series of publications that aim at investigating relevant directions to turn the nuclear energy density functional (EDF) method as an effective…
Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D -symmetric -theory
Kilian Fraboulet, Jean-Paul Ebran
The energy density functional (EDF) method is currently the only microscopic theoretical approach able to tackle the entire nuclear chart. Nevertheless, it suffers from limitations…
Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling
Kilian Fraboulet, Sarah Heinzelmann, Pietro M. Bonetti +4
We illustrate the algorithmic advantages of the recently introduced single-boson exchange (SBE) formulation for the one-loop functional renormalization group (fRG), by applying it…