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 …

Continuous-time Monte Carlo methods for quantum impurity models

E Gull, AJ Millis, AI Lichtenstein, AN Rubtsov… - Reviews of Modern …, 2011 - APS
Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

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 …

Quantitative theory of magnetic interactions in solids

A Szilva, Y Kvashnin, EA Stepanov, L Nordström… - Reviews of Modern …, 2023 - APS
This review addresses the method of explicit calculations of interatomic exchange
interactions of magnetic materials. This involves exchange mechanisms normally referred to …

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 …

Orthogonal polynomial representation of imaginary-time Green's functions

L Boehnke, H Hafermann, M Ferrero… - Physical Review B …, 2011 - APS
We study the expansion of single-particle and two-particle imaginary-time Matsubara
Green's functions of quantum impurity models in the basis of Legendre orthogonal …

Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics

O Gunnarsson, T Schäfer, JPF LeBlanc, E Gull… - Physical review …, 2015 - APS
We demonstrate how to identify which physical processes dominate the low-energy spectral
functions of correlated electron systems. We obtain an unambiguous classification through …

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 …

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 …

Charge density wave ordering in NdNiO2: effects of multiorbital nonlocal correlations

EA Stepanov, M Vandelli, AI Lichtenstein… - npj Computational …, 2024 - nature.com
In this work, we investigate collective electronic fluctuations and, in particular, the possibility
of the charge density wave ordering in an infinite-layer NdNiO2. We perform advanced many …