447 citations · 2.4k across the 32 of their papers we have counts for
32 papers
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…
Suppression of the charge fluctuations by nonlocal correlations close to the Mott transition
Irakli Titvinidze, Julian Stobbe, Marvin Leusch +1
In this paper, we investigate the impact of nonlocal correlations on charge fluctuations in the two-dimensional single-band Hubbard model close to the Mott metal-to-insulator trans…
Orbital Magnetic Field Driven Metal-Insulator Transition in Strongly Correlated Electron Systems
Georg Rohringer, Anton A. Markov
We study the effects of an orbital magnetic field on the Mott metal-insulator transition in the Hubbard-Hofstadter model. We demonstrate that sufficiently large magnetic fields ind…
Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions
Irakli Titvinidze, Julian Stobbe, Alexey N. Rubtsov +1
We present a method to study the time evolution of the single impurity Anderson model which exploits a mean field decoupling of the interacting impurity and the non-interacting bat…
Consistency of potential energy in the dynamical vertex approximation
Julian Stobbe, Georg Rohringer
In the last decades, dynamical mean-field theory (DMFT) and its diagrammatic extensions have been successfully applied to describe local and nonlocal correlation effects in correla…
Fluctuations analysis of the spin susceptibility: Néel ordering revisited in dynamical mean field theory
Lorenzo Del Re, Georg Rohringer
In this paper, we revisit the antiferromagnetic (AF) phase diagram of the single-band three-dimensional half-filled Hubbard model on a simple cubic lattice studied within the dynam…
Fluctuation diagnostic of the nodal/antinodal dichotomy in the Hubbard model at weak coupling: a parquet dual fermion approach
Friedrich Krien, Alexander I. Lichtenstein, Georg Rohringer
We apply the boson exchange parquet solver for dual fermions to the half-filled Hubbard model on a square lattice at small interaction. Our results establish that, in this regime,…
Dual parquet scheme for the two-dimensional Hubbard model: modelling low-energy physics of high- cuprates with high momentum resolution
G. V. Astretsov, G. Rohringer, A. N. Rubtsov
We present a new method to treat the two-dimensional (2D) Hubbard model for parameter regimes which are relevant for the physics of the high- superconducting cuprates. Unlike…
Fate of a topological invariant for correlated lattice electrons at finite temperature
A. A. Markov, G. Rohringer, A. N. Rubtsov
Electrons on a two-dimensional (2) lattice which is exposed to a strong uniform magnetic field show intriguing physical phenomena. The spectrum of such systems exhibits a comple…
Analytical investigation of singularities in two-particle irreducible vertex functions of the Hubbard atom
Patrik Thunström, Olle Gunnarsson, Sergio Ciuchi +1
Two-particle generalized susceptibilities and their irreducible vertex functions play a prominent role in the quantum many-body theory for correlated electron systems. They act as…
Efficient Bethe-Salpeter equations' treatment in dynamical mean-field theory
Agnese Tagliavini, Stefan Hummel, Nils Wentzell +3
We present here two alternative schemes designed to correct the high-frequency truncation errors in the numerical treatment of the Bethe-Salpeter equations. The schemes are applica…
Role of three-particle vertex within dual fermion calculations
T. Ribic, P. Gunacker, S. Iskakov +5
We investigate the influence of self-energy diagrams beyond the two-particle vertex level within dual fermion theory. Specifically, we calculate the local three-particle vertex and…
Complementary views on electron spectra: From Fluctuation Diagnostics to real space correlations
O. Gunnarsson, J. Merino, T. Schäfer +3
We study the relation between the microscopic properties of a many-body system and the electron spectra, experimentally accessible by photoemission. In a recent paper [Phys. Rev. L…
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
G. Rohringer, H. Hafermann, A. Toschi +6
Strong electronic correlations pose one of the biggest challenges to solid state theory. We review recently developed methods that address this problem by starting with the local,…
Breakdown of traditional many-body theories for correlated electrons
O. Gunnarsson, G. Rohringer, T. Schäfer +2
Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the mapping from the interacting to the noninteracting Green's function, , is strongly…
Local correlation functions of arbitrary order for the Falicov-Kimball model
Tin Ribic, Georg Rohringer, Karsten Held
Local n-particle vertex functions represent the crucial ingredient for all diagrammatic extensions of dynamical mean field theory (DMFT). Hitherto their application has been restri…
High-frequency asymptotics of the vertex function: diagrammatic parametrization and algorithmic implementation
N. Wentzell, G. Li, A. Tagliavini +5
Vertex functions are a crucial ingredient of several forefront many-body algorithms in condensed matter physics. However, the full treatment of their frequency and momentum depende…
Non-perturbative landscape of the Mott-Hubbard transition: Multiple divergence lines around the critical endpoint
T. Schäfer, S. Ciuchi, M. Wallerberger +5
We analyze the highly non-perturbative regime surrounding the Mott-Hubbard metal-to-insulator transition (MIT) by means of dynamical mean field theory calculations at the two-parti…
Parquet decomposition calculations of the electronic self-energy
O. Gunnarsson, T. Schäfer, J. P. F. LeBlanc +4
The parquet decomposition of the self-energy into classes of diagrams, those associated with specific scattering processes, can be exploited for different scopes. In this work, the…
Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
G. Rohringer, A. Toschi
In this paper, we investigate how nonlocal correlations affect, selectively, the physics of correlated electrons over different energy scales, from the Fermi level to the band-edge…
Nonlocal correlations and spectral properties of the Falicov-Kimball model
T. Ribic, G. Rohringer, K. Held
We derive an analytical expression for the local two-particle vertex of the Falicov-Kimball model, including its dependence on all three frequencies, the full vertex and all reduci…
Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
O. Gunnarsson, T. Schäfer, J. P. F. LeBlanc +5
We demonstrate how to identify which physical processes dominate the low-energy spectral functions of correlated electron systems. We obtain an unambiguous classification through a…
Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
A. Valli, T. Schäfer, P. Thunström +5
We have implemented the dynamical vertex approximation (DA) in its full parquet-based version to include spatial correlations on all length scales and in {\sl all} scattering ch…
Fate of the false Mott-Hubbard transition in two dimensions
T. Schäfer, F. Geles, D. Rost +6
We have studied the impact of non-local electronic correlations at all length scales on the Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard mode…