divERGe implements various Exact Renormalization Group examples

Abstract

We present divERGe, an open source, high-performance C/C++/Python library for functional renormalization group (FRG) calculations on lattice fermions. The versatile model interface is tailored to real materials applications and seamlessly integrates with existing, standard tools from the ab-initio community. The code fully supports multi-site, multi-orbital, and non-SU(2) models in all of the three included FRG variants: TU${}^2$FRG, N-patch FRG, and grid FRG. With this, the divERGe library paves the way for widespread application of FRG as a tool in the study of competing orders in quantum materials.

42 pages, 7 figures, git repo at https://git.rwth-aachen.de/frg/diverge.git

References in corpus (10)

• Advanced capabilities for materials modelling with Quantum ESPRESSO
• Many-body perturbation theory calculations using the yambo code
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Interaction flow method for many-fermion systems
• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Correlated starting points for the functional renormalization group
• Instabilities on graphene's honeycomb lattice with electron-phonon interactions
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Moiré Engineering of Spin-Orbit Coupling in Twisted Platinum Diselenide

Cited by in corpus (15)

• Altermagnetic phase transition in a Lieb metal
• The kagome Hubbard model from a functional renormalization group perspective
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Spin and pair density waves in 2D altermagnetic metals
• Magic angle of Sr${}_2$RuO${}_4$: Optimizing correlation-driven superconductivity
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
• Kekulé order from diffuse nesting near higher-order Van Hove points
• Theory of unconventional magnetism in a Cu-based kagome metal
• Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
• Surface Functional Renormalization Group for Layered Quantum Materials