462 citations · 7.1k across the 119 of their papers we have counts for
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Dynamical vertex approximation for retarded interactions: Application to the Hubbard-Holstein model
Emin Moghadas, Samuele Giuli, Massimo Capone +1
We extend the dynamical vertex approximation (DA), in its most commonly used ladder-version, to systems with retarded electronic interactions. Such an extended scheme, which we…
Instabilities in self-consistent diagrammatic approaches and how to cure them
Marcel Gievers, Herbert Eßl, Stefan Rohshap +2
While self-consistent diagrammatic approaches are widely used to compute the physical properties of correlated quantum materials, their applicability may get severely hindered prec…
On Degeneracies of Density, Magnetic, and Pairing Responses: How Competing Orders Echo Underlying Symmetries in the Hubbard Model
Michael Meixner, Herbert Eßl, Matthias Reitner +2
Strongly correlated electron systems often display competing or even intertwined ordering tendencies, hinting to extremely close or degenerate many-electron energies. While degener…
Stabilizing the parquet problem
Herbert Eßl, Stefan Rohshap, Marcel Gievers +3
We systematically analyze the stability of the iterative solution of the parquet equations by studying the spectrum of the Jacobian associated with the commonly used damped fixed-p…
Non-perturbative effects of short-range spatial correlations at the two-particle level
Michael Meixner, Matthias Reitner, Thomas Schäfer +1
By means of cellular dynamical mean-field theory (CDMFT) we study how short-range correlations drive the breakdown of the self-consistent perturbation theory in two-dimensional sys…
Magnetic instabilities in three- and higher-dimensional Hubbard models with different lattice geometries: Impact of nonlocal spatial correlations
Marvin Leusch, Alessandro Toschi, Andreas Hausoel +2
We analyze the impact of the lattice geometry on the thermodynamic transition to magnetically ordered phases in strongly interacting electron systems for various Bravais lattices i…
Two distinct quantum critical behaviors in the doped two-dimensional periodic Anderson model
M. Kitatani, T. Schäfer, A. A. Katanin +2
We study quantum criticality in the doped two-dimensional periodic Anderson model with the hybridization acting as a tuning parameter. Employing the dynamical vertex approximation…
Fragility of local moments against hybridization with flat bands
Max Fischer, Arianna Poli, Lorenzo Crippa +5
The Kondo screening of a localized magnetic moment crucially depends on the spectral properties of the electronic bath to which it is coupled. Unlike textbook examples, realistic s…
Effective enhancement of the electron-phonon coupling driven by nonperturbative electronic density fluctuations
Emin Moghadas, Matthias Reitner, Tim Wehling +3
We present a dynamical mean-field study of the nonperturbative electronic mechanisms, which may lead to significant enhancements of the electron-phonon coupling in correlated elect…
Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
Herbert Eßl, Matthias Reitner, Evgeny Kozik +1
Self-consistent approaches in many-electron problems typically converge to an unphysical solution in strongly correlated regimes. By deriving the mathematical condition for the sta…
Non-Perturbative Feats in the Physics of Correlated Antiferromagnets
Matthias Reitner, Lorenzo Del Re, Massimo Capone +1
In the last decades multifaceted manifestations of the breakdown of the self-consistent perturbation theory have been identified for the many-electron problem. Yet, the investigati…
Magnetic quantum criticality: The role of the Fermi surface geometry
D. R. Fus, S. Adler, M. O. Malcolms +5
We investigate magnetic quantum phase-transitions in bulk correlated metals. To this end, we focus on the Hubbard model on different cubic lattices as a function of temperature and…
Spin dynamics and possible topological magnons in non-stoichiometric pyrochlore iridate TbIrO studied by RIXS
Q. Faure, A. Toschi, J. R. Soh +5
We report a resonant inelastic X-ray scattering study on a single crystal of a non-stoichiometric pyrochlore iridate TbIrO () that magnetical…
General Shiba mapping for on-site four-point correlation functions
Herbert Eßl, Matthias Reitner, Giorgio Sangiovanni +1
By applying the Shiba mapping on the two particle level, we derive the relation between the local four-point correlation functions of bipartite lattice models with on-site electron…
Compressing the two-particle Green's function using wavelets: Theory and application to the Hubbard atom
Emin Moghadas, Nikolaus Dräger, Alessandro Toschi +7
Precise algorithms capable of providing controlled solutions in the presence of strong interactions are transforming the landscape of quantum many-body physics. Particularly exciti…
Fermi and Luttinger arcs: two concepts, realized on one surface
Paul Worm, Matthias Reitner, Karsten Held +1
We present an analytically solvable model for correlated electrons, which is able to capture the major Fermi surface modifications occurring in both hole- and electron-doped cuprat…
Interacting nodal semimetals with non-linear bands
Arianna Poli, Niklas Wagner, Max Fischer +3
We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion , where we expl…
Thermodynamic Stability at the Two-Particle Level
A. Kowalski, M. Reitner, L. Del Re +6
We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and t…
Entangled magnetic, charge, and superconducting pairing correlations in the two-dimensional Hubbard model: a functional renormalization-group analysis
Sarah Heinzelmann, Alessandro Toschi, Sabine Andergassen
Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensi…
Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
Matthias Reitner, Lorenzo Crippa, Dominik Robert Fus +3
At thermal equilibrium, we find that generalized susceptibilities encoding the static physical response properties of Hermitian many-electron systems possess inherent non-Hermitian…
Highly nonperturbative nature of the Mott metal-insulator transition: Two-particle vertex divergences in the coexistence region
Mathias Pelz, Severino Adler, Matthias Reitner +1
We thoroughly analyze the divergences of the irreducible vertex functions occurring in the charge channel of the half-filled Hubbard model in close proximity to the Mott metal-insu…
Non-perturbative intertwining between spin and charge correlations: A "smoking gun" single-boson-exchange result
Severino Adler, Friedrich Krien, Patrick Chalupa-Gantner +2
We study the microscopic mechanism controlling the interplay between local charge and local spin fluctuations in correlated electron systems via a thorough investigation of the gen…
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…
Deep Learning the Functional Renormalization Group
Domenico Di Sante, Matija Medvidović, Alessandro Toschi +4
We perform a data-driven dimensionality reduction of the scale-dependent 4-point vertex function characterizing the functional Renormalization Group (fRG) flow for the widely studi…