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 …

Correlated materials design: prospects and challenges

R Adler, CJ Kang, CH Yee… - Reports on Progress in …, 2018 - iopscience.iop.org
The design of correlated materials challenges researchers to combine the maturing, high
throughput framework of DFT-based materials design with the rapidly-developing first …

Attractive effect of a strong electronic repulsion: The physics of vertex divergences

M Reitner, P Chalupa, L Del Re, D Springer, S Ciuchi… - Physical Review Letters, 2020 - APS
While the breakdown of the perturbation expansion for the many-electron problem has
several formal consequences, here we unveil its physical effect: flipping the sign of the …

Fulfillment of sum rules and Ward identities in the multiloop functional renormalization group solution of the Anderson impurity model

P Chalupa-Gantner, FB Kugler, C Hille, J von Delft… - Physical Review …, 2022 - APS
We investigate several fundamental characteristics of the multiloop functional
renormalization group (mfRG) flow by hands of its application to a prototypical many …

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 …

Collective modes in excitonic magnets: Dynamical mean-field study

D Geffroy, J Kaufmann, A Hariki, P Gunacker… - Physical review …, 2019 - APS
We present a dynamical mean-field study of dynamical susceptibilities in the two-band
Hubbard model. Varying the model parameters we analyze the two-particle excitations in the …

Effective Heisenberg model and exchange interaction for strongly correlated systems

EA Stepanov, S Brener, F Krien, M Harland… - Physical Review Letters, 2018 - APS
We consider the extended Hubbard model and introduce a corresponding Heisenberg-like
problem written in terms of spin operators. The derived formalism is reminiscent of …

Parquetlike equations for the Hedin three-leg vertex

F Krien, A Valli - Physical Review B, 2019 - APS
Taking the competition and the mutual screening of various bosonic fluctuations in
correlated electron systems into account requires an unbiased approach to the many-body …

Dynamical mean field theory extension to the nonequilibrium two-particle self-consistent approach

O Simard, P Werner - Physical Review B, 2023 - APS
Nonlocal correlations play an essential role in correlated electron systems, especially in the
vicinity of phase transitions and crossovers, where two-particle correlation functions display …