activity
20222026
most citedSingle-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling

13 citations · 21 across the 11 of their papers we have counts for

collaborators

11 papers

cond-mat.str-el2026

Real-Frequency Diagrammatics with Pole Representations

Rayan Farid, Lei Zhang, Aiman Al-Eryani +2

Finite-temperature many-body theories are typically formulated in imaginary time, where they are amenable to efficient numerical treatment. However, the extraction of spectral prop…

cond-mat.supr-con2026

Structural symmetry effects on the competition of density waves and superconductivity in bilayer nickelates

Steffen Bötzel, Aiman Al-Eryani, Jun Zhan +4

We investigate the interplay between spin-density-wave (SDW) order and superconductivity in the bilayer nickelate LaNiO using the functional renormalization group~(fRG)…

cond-mat.str-el2026

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-…

cond-mat.str-el2025

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…

cond-mat.str-el2025

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…

cond-mat.str-el2025★ 1 cited

Diagrammatic bosonization, aspects of criticality, and the Hohenberg-Mermin-Wagner theorem in parquet approaches

Aiman Al-Eryani

The parquet equations present a cornerstone of some of the most important diagrammatic many-body approximations and methods currently on the market for strongly correlated material…

cond-mat.mes-hall2025

Relativistic Mott transition and high-order van Hove singularity in twisted double bilayer WSe: mean-field and functional renormalization group study

Bilal Hawashin, Julian Kleeschulte, David Kurz +2

Experiments on twisted double bilayer tungsten diselenide have demonstrated that moir'e semiconductors can realize a relativistic Mott transition, i.e., a quantum phase transition…

cond-mat.str-el2025★ 3 cited

Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization

Aiman Al-Eryani, Sabine Andergassen, Michael M. Scherer

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic…

cond-mat.str-el2024★ 1 cited

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…

cond-mat.str-el2024★ 3 cited

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…

cond-mat.str-el2022★ 13 cited

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…