The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
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 …

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
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 …

Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Local electronic correlation at the two-particle level

G Rohringer, A Valli, A Toschi - Physical Review B—Condensed Matter and …, 2012 - APS
Electronic-correlated systems are often well described by dynamical mean field theory
(DMFT). While DMFT studies have mainly focused hitherto on one-particle properties …

Phase diagram of nickelate superconductors calculated by dynamical vertex approximation

K Held, L Si, P Worm, O Janson, R Arita, Z Zhong… - Frontiers in …, 2022 - frontiersin.org
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 …

Fate of the false Mott-Hubbard transition in two dimensions

T Schäfer, F Geles, D Rost, G Rohringer, E Arrigoni… - Physical Review B, 2015 - APS
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 …

Nonexistence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models

E Kozik, M Ferrero, A Georges - Physical review letters, 2015 - APS
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 …

From infinite to two dimensions through the functional renormalization group

C Taranto, S Andergassen, J Bauer, K Held, A Katanin… - Physical review …, 2014 - APS
We present a novel scheme for an unbiased, nonperturbative treatment of strongly
correlated fermions. The proposed approach combines two of the most successful many …

Magnetic correlations in infinite-layer nickelates: An experimental and theoretical multimethod study

RA Ortiz, P Puphal, M Klett, F Hotz, RK Kremer… - Physical Review …, 2022 - APS
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 …

Divergent precursors of the Mott-Hubbard transition at the two-particle level

T Schäfer, G Rohringer, O Gunnarsson, S Ciuchi… - Physical Review Letters, 2013 - APS
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 …