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 …

Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains

H Shinaoka, M Wallerberger, Y Murakami, K Nogaki… - Physical Review X, 2023 - APS
The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

Merging GW with DMFT and non-local correlations beyond

JM Tomczak, P Liu, A Toschi, G Kresse… - The European Physical …, 2017 - Springer
We review recent developments in electronic structure calculations that go beyond state-of-
the-art methods such as density functional theory (DFT) and dynamical mean field theory …

Mott physics and spin fluctuations: A unified framework

T Ayral, O Parcollet - Physical Review B, 2015 - APS
We present a formalism for strongly correlated electron systems which consists in a local
approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently …

Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model

EGCP Van Loon, AI Lichtenstein, MI Katsnelson… - Physical Review B, 2014 - APS
The dual boson approach [Rubtsov, Katsnelson, and Lichtenstein, Ann. Phys. 327, 1320
(2012) APNYA6 0003-4916 10.1016/j. aop. 2012.01. 002] provides a means to construct a …

Antiferromagnetic and -wave pairing correlations in the strongly interacting two-dimensional Hubbard model from the functional renormalization group

D Vilardi, C Taranto, W Metzner - Physical Review B, 2019 - APS
Using the dynamical mean-field theory (DMFT) as a “booster rocket”, the functional
renormalization group (fRG) can be upgraded from a weak-coupling method to a powerful …

Superconductivity, antiferromagnetism, and phase separation in the two-dimensional Hubbard model: A dual-fermion approach

J Otsuki, H Hafermann, AI Lichtenstein - Physical Review B, 2014 - APS
The dual-fermion approach offers a way to perform diagrammatic expansion around the
dynamical mean field theory. Using this formalism, the influence of antiferromagnetic …

Do** evolution of the charge excitations and electron correlations in electron-doped superconducting La2−xCexCuO4

J Lin, J Yuan, K **, Z Yin, G Li, KJ Zhou, X Lu… - npj Quantum …, 2020 - nature.com
Electron correlations play a dominant role in the charge dynamics of the cuprates. We use
resonant inelastic X-ray scattering (RIXS) to track the do** dependence of the collective …

Magnetic response of : Quasi-local spin fluctuations due to Hund's coupling

HUR Strand, M Zingl, N Wentzell, O Parcollet… - Physical Review B, 2019 - APS
We study the magnetic susceptibility in the normal state of Sr 2 RuO 4 using dynamical
mean-field theory including dynamical vertex corrections. Besides the well-known …