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Dynamical mean-field theory (DMFT) provides an optimal local approximation for correlated lattice systems by mapping the lattice onto a self-consistent effective impurity model. To account for the missing long-range correlations, we propose…

Strongly Correlated Electrons · Physics 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

We present a study of the attractive Hubbard model based on the dynamical mean field theory (DMFT) combined with the numerical renormalization group (NRG). For this study the NRG method is extended to deal with self-consistent solutions of…

Superconductivity · Physics 2009-07-22 J. Bauer , A. C. Hewson , N. Dupuis

The dual-fermion approach provides a formally exact prescription for calculating properties of a correlated electron system in terms of a diagrammatic expansion around dynamical mean-field theory (DMFT). Most practical implementations,…

Strongly Correlated Electrons · Physics 2017-08-02 Jan Gukelberger , Evgeny Kozik , Hartmut Hafermann

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

Strongly Correlated Electrons · Physics 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

The study of nonequilibrium phenomena in correlated lattice systems has developed into an active and exciting branch of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of…

Strongly Correlated Electrons · Physics 2014-07-11 Hideo Aoki , Naoto Tsuji , Martin Eckstein , Marcus Kollar , Takashi Oka , Philipp Werner

Dynamical correlations and non-local contributions beyond static mean-field theories are of fundamental importance for describing the electronic structure of correlated metals. Their effects are usually described with many-body approaches…

Strongly Correlated Electrons · Physics 2023-09-22 Marco Vanzini , Nicola Marzari

Strong electronic correlations pose one of the biggest challenges to solid state theory. We review recently developed methods that address this problem by starting with the local, eminently important correlations of dynamical mean field…

Strongly Correlated Electrons · Physics 2018-05-23 G. Rohringer , H. Hafermann , A. Toschi , A. A. Katanin , A. E. Antipov , M. I. Katsnelson , A. I. Lichtenstein , A. N. Rubtsov , K. Held

We compute the spin susceptibility of the two-dimensional Hubbard model away from half-filling, and analyze the impact of frequency dependent vertex corrections as obtained from the dynamical mean field theory (DMFT). We find that the local…

Strongly Correlated Electrons · Physics 2018-06-13 Demetrio Vilardi , Ciro Taranto , Walter Metzner

A novel approach to electronic correlations and magnetism of crystals based on realistic electronic structure calculations is reviewed. In its simplest form it is a combination of the ``local density approximation'' (LDA) and the dynamical…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson , G. Kotliar

The Dynamical Cluster Approximation (DCA) is used to study non-local corrections to the dynamical mean field phase diagram of the two-dimensional Hubbard model. Regions of antiferromagnetic, d-wave superconducting, pseudo-gapped non-Fermi…

Strongly Correlated Electrons · Physics 2009-10-31 M. Jarrell , Th. Maier , M. H. Hettler , A. N. Tahvildarzadeh

We present a fully self-consistent combined GW and dynamical mean field (GW+DMFT) study of the spectral properties of the extended two-dimensional Hubbard model. The inclusion of the local dynamical vertex stemming from the DMFT self-energy…

Strongly Correlated Electrons · Physics 2013-01-22 Thomas Ayral , Philipp Werner , Silke Biermann

With an increasing complexity of nanoscopic systems and the modeling thereof, new theoretical tools are needed for a reliable calculation of complex systems with strong electronic correlations. To this end, we propose a new approach based…

Strongly Correlated Electrons · Physics 2010-06-22 Angelo Valli , Giorgio Sangiovanni , Olle Gunnarsson , Alessandro Toschi , Karsten Held

LDA+DMFT is a novel computational technique for ab initio investigations of real materials with strongly correlated electrons, such as transition metals and their oxides. It combines the strength of conventional band structure theory in the…

Strongly Correlated Electrons · Physics 2007-05-23 K. Held , I. A. Nekrasov , G. Keller , V. Eyert , N. Blümer , A. K. McMahan , R. T. Scalettar , T. Pruschke , V. I. Anisimov , D. Vollhardt

Dynamical mean-field theory (DMFT) is one of the most widely used theoretical methods for electronic structure calculations, providing self-consistent solutions even in low-temperature regimes, which are exact in the limit of infinite…

Strongly Correlated Electrons · Physics 2023-09-06 Johan Carlström

Dynamical Mean-Field Theory (DMFT) has established itself as a reliable and well-controlled approximation to study correlation effects in bulk solids and also two-dimensional systems. In combination with standard density-functional theory…

Atomic and Molecular Clusters · Physics 2015-05-30 V. Turkowski , A. Kabir , N. Nayyar , Talat S. Rahman

We review the basic ideas of the dynamical mean field theory (DMFT) and some of the insights into the electronic structure of strongly correlated electrons obtained by this method in the context of model Hamiltonians. We then discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 G. Kotliar , S. Y. Savrasov

We present dynamical mean field theory (DMFT) results for the local spectral densities of the one- and two-particle response functions for the infinite dimensional Hubbard model in a magnetic field. We look at the different regimes…

Strongly Correlated Electrons · Physics 2009-11-13 J. Bauer , A. C. Hewson

Using the dynamical mean-field theory (DMFT) as a `booster-rocket', the functional renormalization group (fRG) can be upgraded from a weak-coupling method to a powerful computation tool for strongly interacting fermion systems. The strong…

Strongly Correlated Electrons · Physics 2019-03-13 Demetrio Vilardi , Ciro Taranto , Walter Metzner

We develop a variational perturbation expansion around dynamical mean-field theory (DMFT) that systematically incorporates nonlocal correlations beyond the local correlations treated by DMFT. We apply this approach to investigate how the…

Strongly Correlated Electrons · Physics 2025-10-24 Yueyi Wang , Kristjan Haule