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 …

Numerical renormalization group method for quantum impurity systems

R Bulla, TA Costi, T Pruschke - Reviews of Modern Physics, 2008 - APS
In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization
group transformation. When applied to the Kondo problem, this numerical renormalization …

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 …

Dynamical vertex approximation: A step beyond dynamical mean-field theory

A Toschi, AA Katanin, K Held - Physical Review B—Condensed Matter and …, 2007 - APS
We develop a diagrammatic approach with local and nonlocal self-energy diagrams,
constructed from the local irreducible vertex. This approach includes the local correlations of …

Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity

AA Kordyuk - Low Temperature Physics, 2015 - pubs.aip.org
A term first coined by Mott back in 1968 a “pseudogap” is the depletion of the electronic
density of states at the Fermi level, and pseudogaps have been observed in many systems …

Electronic structure of strongly correlated materials

VI Anisimov - AIP Conference Proceedings, 2010 - pubs.aip.org
Narrow band materials (transition metals and rare‐earth elements compounds) often reveal
anomalous physical properties. Their electronic structure is strongly renormalized by …

Comparing pertinent effects of antiferromagnetic fluctuations in the two-and three-dimensional Hubbard model

AA Katanin, A Toschi, K Held - Physical Review B—Condensed Matter and …, 2009 - APS
We use the dynamical vertex approximation (D Γ A) with a Moriyaesque λ correction for
studying the impact of antiferromagnetic fluctuations on the spectral function of the Hubbard …

Efficient perturbation theory for quantum lattice models

H Hafermann, G Li, AN Rubtsov, MI Katsnelson… - Physical review …, 2009 - APS
We present a novel approach to long-range correlations beyond dynamical mean-field
theory, through a ladder approximation to dual fermions. The new technique is applied to the …

Momentum-resolved spectral functions of calculated by

IA Nekrasov, K Held, G Keller, DE Kondakov… - Physical Review B …, 2006 - APS
LDA+ DMFT, the merger of density functional theory in the local density approximation and
dynamical mean-field theory, has been mostly employed to calculate k-integrated spectra …

Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method

N Martin, C Gauvin-Ndiaye, AMS Tremblay - Physical Review B, 2023 - APS
Theoretical methods that are accurate for both short-distance observables and long-
wavelength collective modes are still being developed for the Hubbard model. Here, we …