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 …

Multitier self-consistent

F Nilsson, L Boehnke, P Werner, F Aryasetiawan - Physical Review Materials, 2017 - APS
We discuss a parameter-free and computationally efficient ab initio simulation approach for
moderately and strongly correlated materials, the multitier self-consistent GW+ EDMFT …

Finite temperature quantum embedding theories for correlated systems

D Zgid, E Gull - New Journal of Physics, 2017 - iopscience.iop.org
The cost of the exact solution of the many-electron problem is believed to be exponential in
the number of degrees of freedom, necessitating approximations that are controlled and …

Impact of nonlocal correlations over different energy scales: A dynamical vertex approximation study

G Rohringer, A Toschi - Physical Review B, 2016 - APS
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 edges …

Recent progress in first-principles methods for computing the electronic structure of correlated materials

F Nilsson, F Aryasetiawan - Computation, 2018 - mdpi.com
Substantial progress has been achieved in the last couple of decades in computing the
electronic structure of correlated materials from first principles. This progress has been …

Charge ordering and correlation effects in the extended Hubbard model

H Terletska, T Chen, E Gull - Physical Review B, 2017 - APS
We study the half-filled extended Hubbard model on a two-dimensional square lattice using
cluster dynamical mean-field theory on clusters of size 8–20. We show that the model …

Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model

L Fratino, P Semon, M Charlebois, G Sordi… - Physical Review B, 2017 - APS
The properties of a phase with large correlation length can be strongly influenced by the
underlying normal phase. We illustrate this by studying the half-filled two-dimensional …

Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory: Convergence analysis of the dual fermion technique

J Gukelberger, E Kozik, H Hafermann - Physical Review B, 2017 - APS
The dual fermion approach provides a formally exact prescription for calculating properties
of a correlated electron system in terms of a diagrammatic expansion around dynamical …

Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory

F Krien, EGCP van Loon, MI Katsnelson… - Physical Review B, 2019 - APS
We consider the interaction-driven Mott transition at zero temperature from the viewpoint of
microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau …