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We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

Quantum Physics · Physics 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

Physics Education · Physics 2010-12-07 Nathan Argaman , Guy Makov

We demonstrate the existence of different density-density functionals designed to retain selected properties of the many-body ground state in a non-interacting solution starting from the standard density functional theory ground state. We…

Other Condensed Matter · Physics 2009-11-13 F. A. Reboredo , P. R. C. Kent

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

With the growth of computational resources, the scope of electronic structure simulations has increased greatly. Artificial intelligence and robust data analysis hold the promise to accelerate large-scale simulations and their analysis to…

Materials Science · Physics 2023-07-27 Lenz Fiedler , Karan Shah , Michael Bussmann , Attila Cangi

The concept of electronic correlations plays an important role in modern condensed matter physics. It refers to interaction effects which cannot be explained within a static mean-field picture as provided by Hartree-Fock theory. Electronic…

Strongly Correlated Electrons · Physics 2015-03-17 Dieter Vollhardt

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. In a GaAs quantum wire, a critical density has been found, below which the electron density has a strong spatial inhomogeneity.…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 A. A. Vasilchenko

Density functional theory is the standard theory for computing the electronic structure of materials, which is based on a functional that maps the electron density to the energy. However, a rigorous form of the functional is not known and…

Materials Science · Physics 2021-12-02 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

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

This work explores the use of joint density-functional theory, a new form of density-functional theory for the ab initio description of electronic systems in thermodynamic equilibrium with a liquid environment, to describe electrochemical…

Materials Science · Physics 2015-06-05 Kendra Letchworth-Weaver , T. A. Arias

Subsystem Density-Functional Theory (DFT) is an emerging technique for calculating the electronic structure of complex molecular and condensed phase systems. In this topical review, we focus on some recent advances in this field related to…

Chemical Physics · Physics 2015-06-24 Alisa Krishtal , Debalina Sinha , Alessandro Genova , Michele Pavanello

We reformulate the strong-interaction limit of electronic density functional theory in terms of a classical problem with a degenerate minimum. This allows us to clarify many aspects of this limit, and to write a general solution, which is…

Materials Science · Physics 2007-05-23 Michael Seidl , Paola Gori-Giorgi , Andreas Savin

Density functional theory (DFT), the most widely adopted method in modern computational chemistry, fails to describe accurately the electronic structure of strongly correlated systems. Here we show that DFT can be formally and practically…

Chemical Physics · Physics 2022-04-18 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

Recently we proposed an information entropy based method for electronic structure calculations within the density-matrix functional theory(DMFT) (Phys. Rev. Lett. 128, 013001), dubbed as $i$-DMFT. Comments have been raised regarding the…

Quantum Physics · Physics 2022-07-07 Jian Wang , Evert Jan Baerends

The LDA+DMFT method is a very powerful tool for gaining insight into the physics of strongly correlated materials. It combines traditional ab-initio density-functional techniques with the dynamical mean-field theory. The core aspects of the…

Strongly Correlated Electrons · Physics 2017-11-22 Eva Pavarini

We introduce a new multilevel domain decomposition method (MDD) for electronic structure calculations within semi-empirical and Density Functional Theory (DFT) frameworks. This method iterates between local fine solvers and global coarse…

Computational Physics · Physics 2007-05-23 M. Barrault , E. Cances , W. W. Hager , C. Le Bris

Improving the accuracy and thus broadening the applicability of electronic density functional theory (DFT) is crucial to many research areas, from material science, to theoretical chemistry, biophysics and biochemistry. In the last three…

Strongly Correlated Electrons · Physics 2019-03-27 Paola Gori-Giorgi , Michael Seidl

Density Functional Theory relies on universal functionals characteristic of a given system. Those functionals in general are different for the electron gas and for jellium (electron gas with uniform background). However, jellium is…

Statistical Mechanics · Physics 2017-05-23 James W. Dufty

We propose a self-consistent method for electronic structure calculations of correlated systems, which combines the local spin-density approximation (LSDA) and the dynamical mean field theory (DMFT). The LSDA part is based on the exact…

Strongly Correlated Electrons · Physics 2007-05-23 L. Chioncel , L. Vitos , I. A. Abrikosov , J. Kollar , M. I. Katsnelson , A. I. Lichtenstein