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Related papers: Many-Body Approximation Scheme Beyond GW

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We develop the extended dynamical mean field theory (E-DMFT) with a view towards realistic applications. {\bf 1)} We introduce an intuitive derivation of the E-DMFT formalism. By identifying the Hartree contributions before the E-DMFT…

Strongly Correlated Electrons · Physics 2009-11-07 Ping Sun , Gabriel Kotliar

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

Extended dynamical mean-field theory (EDMFT) is insufficient to describe non-local effects in strongly correlated systems, since corrections to the mean-field solution are generally large. We present an efficient scheme for the construction…

Strongly Correlated Electrons · Physics 2020-06-02 E. A. Stepanov , A. Huber , E. G. C. P. van Loon , A. I. Lichtenstein , M. I. Katsnelson

Theoretical studies of semiconductors and band insulators are usually based on variants of the $GW$ method without full self-consistency, like single-shot $G^0W^0$ or quasiparticle self-consistent $GW$. Fully self-consistent $GW$ provides a…

Strongly Correlated Electrons · Physics 2024-10-28 Viktor Christiansson , Francesco Petocchi , Philipp Werner

We combine the single site dynamical mean field theory (DMFT) with the non-local GW method. This is done fully self-consistently and we apply our formalism to a one-band Hubbard model. Eventually at self-consistency the full self-energy and…

Strongly Correlated Electrons · Physics 2007-05-23 K. Karlsson

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

Dynamical and variational frameworks have long been viewed as distinct paradigms. In particular, in quantum embedding (QE) frameworks, dynamical mean-field theory (DMFT) captures nonperturbative dynamical correlations through a…

Strongly Correlated Electrons · Physics 2026-04-03 Samuele Giuli , Tsung-Han Lee , Yong-Xin Yao , Gabriel Kotliar , Andrei E. Ruckenstein , Olivier Gingras , Nicola Lanatà

We introduce an extension of the dynamical mean field approximation (DMFA) which retains the causal properties and generality of the DMFA, but allows for systematic inclusion of non-local corrections. Our technique maps the problem to a…

Strongly Correlated Electrons · Physics 2009-10-31 M. H. Hettler , A. N. Tahvildar-Zadeh , M. Jarrell , T. Pruschke , H. R. Krishnamurthy

Quantum embedding approaches involve the self-consistent optimization of a local fragment of a strongly correlated system, entangled with the wider environment. The `energy-weighted' density matrix embedding theory (EwDMET) was established…

Strongly Correlated Electrons · Physics 2021-02-23 P. V. Sriluckshmy , Max Nusspickel , Edoardo Fertitta , George H. Booth

This study examines how the GW approximation, one of the techniques covered by Green's functions and on many-body approximations (GFMBA), fares compared to the treatment of the Hubbard model solved using an exact diagonalization (ED)…

Strongly Correlated Electrons · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

We present GW many-body results for ground-state properties of two simple but very distinct families of inhomogenous systems in which traditional implementations of density-functional theory (DFT) fail drastically. The GW approach gives…

Materials Science · Physics 2009-11-07 P. Garcia-Gonzalez , R. W. Godby

We present an embedding scheme for periodic systems that facilitates the treatment of the physically important part (here the unit cell) with advanced electronic-structure methods, that are computationally too expensive for periodic…

Materials Science · Physics 2016-04-08 Wael Chibani , Xinguo Ren , Matthias Scheffler , Patrick Rinke

The dual boson approach [Ann. Phys. 327, 1320 (2012)] provides a means to construct a diagrammatic expansion around the extended dynamical mean-field theory (EDMFT). In this paper, we present the numerical implementation of the approach and…

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

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

Nonlocal correlations play an essential role in correlated electron systems, especially in the vicinity of phase transitions and crossovers, where two-particle correlation functions display a distinct momentum dependence. In nonequilibrium…

Strongly Correlated Electrons · Physics 2023-06-29 Olivier Simard , Philipp Werner

In this paper, we propose an efficient implementation of combining Dynamical Mean field theory (DMFT) with electronic structure calculation based on the local density approximation (LDA). The pseudo-potential-plane-wave method is used in…

Strongly Correlated Electrons · Physics 2015-06-03 Jian-Zhou Zhao , Jia-Ning Zhuang , Xiao-Yu Deng , Yan Bi , Ling-Cang Cai , Zhong Fang , Xi Dai

GW calculations with fully self-consistent G and W -- based on the iterative solution of the Dyson equation -- provide an approach for consistently describing ground and excited states on the same quantum mechanical level. We show that for…

Materials Science · Physics 2012-09-27 Fabio Caruso , Patrick Rinke , Xinguo Ren , Matthias Scheffler , Angel Rubio

We propose a hybrid approach which employs the dynamical mean-field theory (DMFT) self-energy for the correlated, typically rather localized orbitals and a conventional density functional theory (DFT) exchange-correlation potential for the…

Strongly Correlated Electrons · Physics 2021-06-16 Sumanta Bhandary , Karsten Held

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
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