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The Hubbard model: A computational perspective
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …
Recently developed methods that address this problem by starting with the local, eminently …
Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
Local electronic correlation at the two-particle level
Electronic-correlated systems are often well described by dynamical mean field theory
(DMFT). While DMFT studies have mainly focused hitherto on one-particle properties …
(DMFT). While DMFT studies have mainly focused hitherto on one-particle properties …
Phase diagram of nickelate superconductors calculated by dynamical vertex approximation
We review the electronic structure of nickelate superconductors with and without effects of
electronic correlations. As a minimal model, we identify the one-band Hubbard model for the …
electronic correlations. As a minimal model, we identify the one-band Hubbard model for the …
Fate of the false Mott-Hubbard transition in two dimensions
We have studied the impact of nonlocal electronic correlations at all length scales on the
Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model …
Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model …
Nonexistence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
The Luttinger-Ward functional Φ [G], which expresses the thermodynamic grand potential in
terms of the interacting single-particle Green's function G, is found to be ill defined for …
terms of the interacting single-particle Green's function G, is found to be ill defined for …
From infinite to two dimensions through the functional renormalization group
We present a novel scheme for an unbiased, nonperturbative treatment of strongly
correlated fermions. The proposed approach combines two of the most successful many …
correlated fermions. The proposed approach combines two of the most successful many …
Magnetic correlations in infinite-layer nickelates: An experimental and theoretical multimethod study
We report a comprehensive study of magnetic correlations in LaNiO 2, a parent compound
of the recently discovered family of infinite-layer (IL) nickelate superconductors, using …
of the recently discovered family of infinite-layer (IL) nickelate superconductors, using …
Divergent precursors of the Mott-Hubbard transition at the two-particle level
Identifying the fingerprints of the Mott-Hubbard metal-insulator transition may be quite
elusive in correlated metallic systems if the analysis is limited to the single particle level …
elusive in correlated metallic systems if the analysis is limited to the single particle level …