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 …

Nevanlinna analytical continuation

J Fei, CN Yeh, E Gull - Physical Review Letters, 2021 - APS
Simulations of finite temperature quantum systems provide imaginary frequency Green's
functions that correspond one to one to experimentally measurable real-frequency spectral …

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 …

Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation

Z Huang, E Gull, L Lin - Physical Review B, 2023 - APS
Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions.
Since analytic continuation is fundamentally an ill-posed problem, the causal space …

Compressing Green's function using intermediate representation between imaginary-time and real-frequency domains

H Shinaoka, J Otsuki, M Ohzeki, K Yoshimi - Physical Review B, 2017 - APS
Model-independent compact representations of imaginary-time data are presented in terms
of the intermediate representation (IR) of analytical continuation. We demonstrate the …

Analytical continuation of matrix-valued functions: Carathéodory formalism

J Fei, CN Yeh, D Zgid, E Gull - Physical Review B, 2021 - APS
Finite-temperature quantum field theories are formulated in terms of Green's functions and
self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to …

Tensor train continuous time solver for quantum impurity models

A Erpenbeck, WT Lin, T Blommel, L Zhang, S Iskakov… - Physical Review B, 2023 - APS
The simulation of strongly correlated quantum impurity models is a significant challenge in
modern condensed matter physics that has multiple important applications. Thus far, the …

Implementation of the maximum entropy method for analytic continuation

R Levy, JPF LeBlanc, E Gull - Computer Physics Communications, 2017 - Elsevier
We present Maxent, a tool for performing analytic continuation of spectral functions using the
maximum entropy method. The code operates on discrete imaginary axis datasets (values …