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First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA+ U method

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TLDR
In this paper, a generalization of the Local Density Approximation (LDA) method for the systems with strong Coulomb correlations is presented which gives a correct description of the Mott insulators.
Abstract
The generalization of the Local Density Approximation (LDA) method for the systems with strong Coulomb correlations is presented which gives a correct description of the Mott insulators. The LDA+U method is based on the model hamiltonian approach and allows to take into account the non-sphericity of the Coulomb and exchange interactions. parameters. Orbital-dependent LDA+U potential gives correct orbital polarization and corresponding Jahn-Teller distortion. To calculate the spectra of the strongly correlated systems the impurity Anderson model should be solved with a many-electron trial wave function. All parameters of the many-electron hamiltonian are taken from LDA+U calculations. The method was applied to NiO and has shown good agreement with experimental photoemission spectra and with the oxygen Kα X-ray emission spectrum.

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Nano‐photocatalytic Materials: Possibilities and Challenges

TL;DR: This article reviews state-of-the-art research activities in the field, focusing on the scientific and technological possibilities offered by photocatalytic materials, and highlights crucial issues that should be addressed in future research activities.
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Electronic excitations: density-functional versus many-body Green's-function approaches

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Book

Electronic Structure: Basic Theory and Practical Methods

TL;DR: In this paper, the Kohn-Sham ansatz is used to solve the problem of determining the electronic structure of atoms, and the three basic methods for determining electronic structure are presented.
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Python Materials Genomics (pymatgen): A robust, open-source python library for materials analysis

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References
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Journal ArticleDOI

Self-Consistent Equations Including Exchange and Correlation Effects

TL;DR: In this paper, the Hartree and Hartree-Fock equations are applied to a uniform electron gas, where the exchange and correlation portions of the chemical potential of the gas are used as additional effective potentials.
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Inhomogeneous Electron Gas

TL;DR: In this article, the ground state of an interacting electron gas in an external potential was investigated and it was proved that there exists a universal functional of the density, called F[n(mathrm{r})], independent of the potential of the electron gas.
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Band theory and Mott insulators: Hubbard U instead of Stoner I.

TL;DR: A form for the exchange-correlation potential in local-density band theory, appropriate for Mott insulators, and finds that all late-3d-transition-metal monoxides, as well as the parent compounds of the high-${\mathit{T}$ compounds, are large-gap magnetic insulators of the charge-transfer type.
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Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
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