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 …

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 …

Merging GW with DMFT and non-local correlations beyond

JM Tomczak, P Liu, A Toschi, G Kresse… - The European Physical …, 2017‏ - Springer
We review recent developments in electronic structure calculations that go beyond state-of-
the-art methods such as density functional theory (DFT) and dynamical mean field theory …

Magnetic correlations in infinite-layer nickelates: An experimental and theoretical multimethod study

RA Ortiz, P Puphal, M Klett, F Hotz, RK Kremer… - Physical Review …, 2022‏ - APS
We report a comprehensive study of magnetic correlations in LaNiO 2, a parent compound
of the recently discovered family of infinite-layer (IL) nickelate superconductors, using …

Quantitative functional renormalization group description of the two-dimensional Hubbard model

C Hille, FB Kugler, CJ Eckhardt, YY He, A Kauch… - Physical Review …, 2020‏ - APS
Using a leading algorithmic implementation of the functional renormalization group (fRG) for
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …

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 …

Mott transition and pseudogap of the square-lattice Hubbard model: Results from center-focused cellular dynamical mean-field theory

M Meixner, H Menke, M Klett, S Heinzelmann… - SciPost Physics, 2024‏ - scipost.org
The recently proposed center-focused post-processing procedure [Phys. Rev. Res. 2,
033476 (2020)] of cellular dynamical mean-field theory suggests that central sites of large …

Truncated unity parquet solver

CJ Eckhardt, C Honerkamp, K Held, A Kauch - Physical Review B, 2020‏ - APS
We present an implementation of a truncated unity parquet solver (TUPS) which solves the
parquet equations using a truncated form-factor basis for the fermionic momenta. This way …

How to read between the lines of electronic spectra: The diagnostics of fluctuations in strongly correlated electron systems

T Schäfer, A Toschi - Journal of Physics: Condensed Matter, 2021‏ - iopscience.iop.org
While calculations and measurements of single-particle spectral properties often offer the
most direct route to study correlated electron systems, the underlying physics may remain …