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The density functional theory (DFT) approximations that are the most accurate for the calculation of band gap of bulk materials are hybrid functionals like HSE06, the MBJ potential, and the GLLB-SC potential. More recently, generalized…

The multiorbital Hubbard model is expressed in terms of quantum phase variables (``slave rotors'') conjugate to the local charge, and of auxiliary fermions, providing an economical representation of the Hilbert space of strongly correlated…

Strongly Correlated Electrons · Physics 2009-11-10 Serge Florens , Antoine Georges

In this study, we evaluate the predictive power of density functional theory (DFT) for the magnetic properties of MnBi\(_2\)Te\(_4\) (MBT), an intrinsically magnetic topological insulator with potential applications in spintronics and…

For the first time a fully self-consistent charge-exchange relativistic RPA based on the relativistic Hartree-Fock (RHF) approach is established. The self-consistency is verified by the so-called isobaric analog state (IAS) check. The…

Nuclear Theory · Physics 2008-11-26 Haozhao Liang , Nguyen Van Giai , Jie Meng

Reliable and robust convergence to the electronic ground state within density functional theory (DFT) Kohn-Sham (KS) calculations remains a thorny issue in many systems of interest. In such cases, charge sloshing can delay or completely…

Computational Physics · Physics 2020-04-07 Cedric Flamant , Grigory Kolesov , Efstratios Manousakis , Efthimios Kaxiras

The accurate prediction of the electronic properties of materials at a low computational expense is a necessary conditions for the development of effective high-throughput quantum-mechanics (HTQM) frameworks for accelerated materials…

Strongly Correlated Electrons · Physics 2014-10-22 Luis A. Agapito , Stefano Curtarolo , Marco Buongiorno Nardelli

We present a fully charge self-consistent implementation of dynamical mean field theory (DMFT) combined with density functional theory (DFT) for electronic structure calculations of materials with strong electronic correlations. The…

Strongly Correlated Electrons · Physics 2022-04-20 Sophie Beck , Alexander Hampel , Olivier Parcollet , Claude Ederer , Antoine Georges

The realistic description of correlated electron systems has taken an important step forward a few years ago as the combination of density functional methods and the dynamical mean-field theory was conceived. This framework allows access to…

Strongly Correlated Electrons · Physics 2011-06-15 M. Karolak , T. O. Wehling , F. Lechermann , A. I. Lichtenstein

Due to efficient scaling with electron number N, density functional theory (DFT) is widely used for studies of large molecules and solids. Restriction of an exact mean-field theory to local potential functions has recently been questioned.…

Other Condensed Matter · Physics 2015-06-24 Robert K. Nesbet

Electronic correlations beyond static mean-field theories are of fundamental importance in describing the properties of complex materials - such as transition-metal oxides - where the low-energy physics is driven by localized d or f…

Strongly Correlated Electrons · Physics 2025-03-17 Mario Caserta , Tommaso Chiarotti , Marco Vanzini , Nicola Marzari

This PhD thesis conducts a focused study of strongly correlated materials with localized electron orbitals. We have studied two real materials (LuNiO$_3$ and VO$_2$) and one model system, i.e., the Anderson impurity model. The thesis is…

Strongly Correlated Electrons · Physics 2019-02-19 Zhuoran He

This article is part-I of a review of density-functional theory (DFT) that is the most widely used method for calculating electronic structure of materials. The accuracy and ease of numerical implementation of DFT methods has resulted in…

Materials Science · Physics 2023-05-25 Prashant Singh , Manoj K Harbola

The structural properties and the band structures of the charge-transfer insulating oxides SrO, MgO and SrTiO3 are computed both within density functional theory in the local density approximation (LDA) and in the Hedin's GW scheme for…

Condensed Matter · Physics 2009-10-31 G. Cappellini , S. Bouette-Russo , B. Amadon , C. Noguera , F. Finocchi

We generalize the dynamical-mean field (DMFT) approximation by including into the DMFT equations some length scale via a momentum dependent ``external'' self-energy S(k). This external self-energy describes non-local dynamical correlations…

Strongly Correlated Electrons · Physics 2009-11-11 M. V. Sadovskii , I. A. Nekrasov , E. Z. Kuchinskii , Th. Pruschke , V. I. Anisimov

The density functional theory (DFT) is a remarkably successful theory of electronic structure of matter. At the foundation of this theory lies the Kohn-Sham (KS) equation. In this paper, we describe the long-time behaviour of the…

Analysis of PDEs · Mathematics 2021-05-11 Fabio Pusateri , Israel Michael Sigal

We developed a theory of electric and thermoelectric conductivity of lightly doped SrTiO$_3$ in the non-degenerate region $k_B T \geq E_F$, assuming that the major source of electron scattering is their interaction with soft transverse…

Other Condensed Matter · Physics 2021-09-15 Kh. G. Nazaryan , M. V. Feigelman

We propose an efficient dual boson scheme, which extends the DMFT paradigm to collective excitations in correlated systems. The theory is fully self-consistent both on the one- and on the two-particle level, thus describing the formation of…

Strongly Correlated Electrons · Physics 2016-01-12 E. A. Stepanov , E. G. C. P. van Loon , A. A. Katanin , A. I. Lichtenstein , M. I. Katsnelson , A. N. Rubtsov

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the…

Nuclear Theory · Physics 2010-04-06 Wen Hui Long , Peter Ring , Nguyen Van Giai , Jie Meng

We present a perturbative approach within the scope of Kohn-Sham density functional theory (DFT). The method is based on the exact exchange-only optimized effective potential method, and correlation is included via perturbation expansion…

Chemical Physics · Physics 2007-05-23 P. Sule

Understanding the physics of strongly correlated electronic systems has been a central issue in condensed matter physics for decades. In transition metal oxides, strong correlations characteristic of narrow $d$ bands is at the origin of…

Strongly Correlated Electrons · Physics 2021-05-05 Mathieu Mirjolet , Francisco Rivadulla , Premysl Marsik , Vladislav Borisov , Roser Valenti , Josep Fontcuberta