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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 (DMFT). Specifically, we discuss the following methods: GW as…

Strongly Correlated Electrons · Physics 2017-07-27 J. M. Tomczak , P. Liu , A. Toschi , G. Kresse , K. Held

Diagrammatic extensions of dynamical mean field theory (DMFT) such as the dynamical vertex approximation (D$\Gamma$A) allow us to include non-local correlations beyond DMFT on all length scales and proved their worth for model calculations.…

Strongly Correlated Electrons · Physics 2017-03-15 Anna Galler , Patrik Thunström , Patrik Gunacker , Jan M. Tomczak , Karsten Held

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 address the question of the degree of spatial non-locality of the self energy in the iron-based superconductors, a subject which is receiving considerable attention. Using LiFeAs as a prototypical example, we extract the self energy from…

Strongly Correlated Electrons · Physics 2021-04-07 Minjae Kim , Hu Miao , Sangkook Choi , Manuel Zingl , Antoine Georges , Gabriel Kotliar

To obtain accurate independent-particle descriptions for ferromagnetic two-dimensional van der Waals materials, we apply the quasiparticle self-consistent $GW$ (QSGW) method to VI$_3$, CrI$_3$, CrGeTe$_3$, and Fe$_3$GeTe$_2$. QSGW provides…

Strongly Correlated Electrons · Physics 2020-06-09 Y. Lee , Takao Kotani , Liqin Ke

We have implemented the $GW$+dynamical mean field theory (DMFT) approach in the Vienna ab initio simulation package. Employing the interaction values obtained from the locally unscreened random phase approximation (RPA), we compare…

Strongly Correlated Electrons · Physics 2014-12-15 Ciro Taranto , Merzuk Kaltak , Nicolaus Parragh , Giorgio Sangiovanni , Georg Kresse , Alessandro Toschi , Karsten Held

The very first dynamical implementation of the combined GW and dynamical mean field scheme "GW+DMFT" for a real material was achieved recently [J.M. Tomczak et al., Europhys. Lett. 100 67001 (2012)], and applied to the ternary transition…

Strongly Correlated Electrons · Physics 2014-12-16 Jan M. Tomczak , Michele Casula , Takashi Miyake , Silke Biermann

Motivated by the intriguing physics of quasi-2d fermionic systems, such as high-temperature superconducting oxides, layered transition metal chalcogenides or surface or interface systems, the development of many-body computational methods…

Strongly Correlated Electrons · Physics 2022-06-22 Steffen Backes , Jae-Hoon Sim , Silke Biermann

We propose an approach for the ab initio calculation of materials with strong electronic correlations which is based on all local (fully irreducible) vertex corrections beyond the bare Coulomb interaction. It includes the so-called GW and…

Strongly Correlated Electrons · Physics 2015-03-19 A. Toschi , G. Rohringer , A. A. Katanin , K. Held

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. This goal is achieved by applying a diagrammatic…

Strongly Correlated Electrons · Physics 2016-10-24 G. Rohringer , A. Toschi

A technique allowing for a perturbative treatment of nonlocal corrections to the single-site dynamical mean-field theory (DMFT) in finite dimensions is developed. It is based on the observation that in the case of strong electron…

Strongly Correlated Electrons · Physics 2008-06-02 V. I. Tokar , R. Monnier

While in strongly correlated materials one often focuses on local electronic correlations, the influence of non-local exchange and correlation effects beyond band-theory can be pertinent in systems with more extended orbitals. Thus in many…

Strongly Correlated Electrons · Physics 2015-03-24 Jan M. Tomczak

We give a detailed description of a recently proposed first principles approach to the electronic structure of strongly correlated materials. The method combines the GW approximation with dynamical mean field theory. It is designed to…

Strongly Correlated Electrons · Physics 2007-05-23 Ferdi Aryasetiawan , Silke Biermann , Antoine Georges

We present a detailed calculation of the electronic structure of SrVO$_{3}$ based on the GW+DMFT method. We show that a proper inclusion of the frequency-dependent Hubbard U and the nonlocal self-energy via the GW approximation, as well as…

Strongly Correlated Electrons · Physics 2013-12-13 R. Sakuma , Ph. Werner , F. Aryasetiawan

We investigate magnetic and charge correlations in graphene by using the formulation of extended dynamical mean-field theory (E-DMFT) for two-sublattice systems. First, we map the average non-local interaction onto the effective static…

Strongly Correlated Electrons · Physics 2022-01-03 A. A. Katanin

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

For more than three decades, nearly free electron elemental metals have been a topic of debate because the computed bandwidths are significantly wider in the local density approximation to density-functional theory (DFT) than indicated by…

Strongly Correlated Electrons · Physics 2022-08-02 Subhasish Mandal , Kristjan Haule , Karin M. Rabe , David Vanderbilt

The description of realistic strongly correlated systems has recently advanced through the combination of density functional theory in the local density approximation (LDA) and dynamical mean field theory (DMFT). This LDA+DMFT method is…

Strongly Correlated Electrons · Physics 2009-11-13 B. Amadon , F. Lechermann , A. Georges , F. Jollet , T. O. Wehling , A. I. Lichtenstein

We present the first dynamical implementation of the combined GW and dynamical mean field scheme ("GW+DMFT") for first principles calculations of the electronic properties of correlated materials. The application to the ternary transition…

Strongly Correlated Electrons · Physics 2012-12-19 Jan M. Tomczak , Michele Casula , Takashi Miyake , Ferdi Aryasetiawan , Silke Biermann

We describe a recent implementation of the combined GW and dynamical mean field (DMFT) method "GW+DMFT" for the two-dimensional Hubbard model with on-site and nearest-neighbor repulsion. We clarify the relation of the GW+DMFT scheme to…

Strongly Correlated Electrons · Physics 2013-04-01 Thomas Ayral , Silke Biermann , Philipp Werner
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