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 …

w2dynamics: Local one-and two-particle quantities from dynamical mean field theory

M Wallerberger, A Hausoel, P Gunacker… - Computer Physics …, 2019 - Elsevier
We describe the hybridization-expansion continuous-time quantum Monte Carlo code
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …

Mean-field concept and post-DMFT methods in the modern theory of correlated systems

YS Lyakhova, GV Astretsov, AN Rubtsov - Uspekhi Fizicheskikh Nauk, 2023 - ufn.ru
We briefly review methods for modeling correlated systems. The concept of correlations is of
fundamental physical importance for systems such as Mott±Hubbard insulators, high …

Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson impurity model

P Chalupa, P Gunacker, T Schaefer, K Held, A Toschi - Physical Review B, 2018 - APS
In this work, we analyze in detail the occurrence of divergences in the irreducible vertex
functions for one of the fundamental models of many-body physics: the Anderson impurity …

Multiloop functional renormalization group for general models

FB Kugler, J von Delft - Physical Review B, 2018 - APS
We present multiloop flow equations in the functional renormalization group (fRG)
framework for the four-point vertex and self-energy, formulated for a general fermionic many …

Multiloop functional renormalization group that sums up all parquet diagrams

FB Kugler, J von Delft - Physical review letters, 2018 - APS
We present a multiloop flow equation for the four-point vertex in the functional
renormalization group (FRG) framework. The multiloop flow consists of successive one-loop …

Dual boson diagrammatic Monte Carlo approach applied to the extended Hubbard model

M Vandelli, V Harkov, EA Stepanov, J Gukelberger… - Physical Review B, 2020 - APS
In this work we introduce the dual boson diagrammatic Monte Carlo technique for strongly
interacting electronic systems. This method combines the strength of dynamical mean-filed …

Dual parquet scheme for the two-dimensional Hubbard model: Modeling low-energy physics of high- cuprates with high momentum resolution

GV Astretsov, G Rohringer, AN Rubtsov - Physical Review B, 2020 - APS
We present a method to treat the two-dimensional (2D) Hubbard model for parameter
regimes which are relevant for the physics of the high-T c superconducting cuprates. Unlike …

Nonlinear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model

P Kappl, F Krien, C Watzenböck, K Held - Physical Review B, 2023 - APS
Three-particle correlators are relevant for, among others, Raman, Hall, and nonlinear
responses. They are also required for the next order of approximations extending dynamical …