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 …

Continuous-time Monte Carlo methods for quantum impurity models

E Gull, AJ Millis, AI Lichtenstein, AN Rubtsov… - Reviews of Modern …, 2011 - APS
Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

Solutions of the two-dimensional Hubbard model: benchmarks and results from a wide range of numerical algorithms

JPF LeBlanc, AE Antipov, F Becca, IW Bulik, GKL Chan… - Physical Review X, 2015 - APS
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …

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 …

TRIQS: A toolbox for research on interacting quantum systems

O Parcollet, M Ferrero, T Ayral, H Hafermann… - Computer Physics …, 2015 - Elsevier
We present the TRIQS library, a Toolbox for Research on Interacting Quantum Systems. It is
an open-source, computational physics library providing a framework for the quick …

TRIQS/CTHYB: A continuous-time quantum Monte Carlo hybridisation expansion solver for quantum impurity problems

P Seth, I Krivenko, M Ferrero, O Parcollet - Computer Physics …, 2016 - Elsevier
We present TRIQS/CTHYB, a state-of-the art open-source implementation of the continuous-
time hybridisation expansion quantum impurity solver of the TRIQS package. This code is …

Electronic structure calculations using dynamical mean field theory

K Held - Advances in physics, 2007 - Taylor & Francis
The calculation of the electronic properties of materials is an important task of solid-state
theory, albeit particularly difficult if electronic correlations are strong, eg, in transition metals …

Dual fermion approach to nonlocal correlations in the Hubbard model

AN Rubtsov, MI Katsnelson, AI Lichtenstein - Physical Review B—Condensed …, 2008 - APS
A diagrammatic technique is developed to describe nonlocal effects (eg, pseudogap
formation) in the Hubbard-like models. In contrast to cluster approaches, this method utilizes …

Local electronic correlation at the two-particle level

G Rohringer, A Valli, A Toschi - Physical Review B—Condensed Matter and …, 2012 - APS
Electronic-correlated systems are often well described by dynamical mean field theory
(DMFT). While DMFT studies have mainly focused hitherto on one-particle properties …

Orthogonal polynomial representation of imaginary-time Green's functions

L Boehnke, H Hafermann, M Ferrero… - Physical Review B …, 2011 - APS
We study the expansion of single-particle and two-particle imaginary-time Matsubara
Green's functions of quantum impurity models in the basis of Legendre orthogonal …