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Related papers: Self-interaction correction with Wannier functions

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We introduce the semiclassical limit to electronic systems by taking the limit $\hbar\rightarrow 0$ in the solution of Schr\"odinger equations. We show that this limit is closely related to one type of strong correlation that is…

Computational Physics · Physics 2025-01-07 Yunzhi Li , Chen Li

We present an approach that combines the local density approximation (LDA) and the dynamical mean-field theory (DMFT) in the framework of the full-potential linear augmented plane waves (FLAPW) method. Wannier-like functions for the…

The approximate atomic self-interaction corrections (ASIC) method to density functional theory is put to the test by calculating the exchange interaction for a number of prototypical materials, critical to local exchange and correlation…

Materials Science · Physics 2009-11-13 A. Akande , S. Sanvito

We discuss various ways to handle self-interaction corrections (SIC) to Density Functional Theory (DFT) calculations. To that end, we use a simple model of few particles in a finite number of states together with a simple zero-range…

Other Condensed Matter · Physics 2009-11-13 P. M. Dinh , J. Messud , P. -G. Reinhard , E. Suraud

The self-screening error in the random-phase approximation (RPA) and the $GW$ approximation (GWA) is a well-known issue and has received attention in recent years with several methods for a correction being proposed. We here apply two of…

Strongly Correlated Electrons · Physics 2023-03-15 Viktor Christiansson , Ferdi Aryasetiawan

We present a local density approximation (LDA) for one-dimensional (1D) systems interacting via the soft-Coulomb interaction based on quantum Monte-Carlo calculations. Results for the ground-state energies and ionization potentials of…

Strongly Correlated Electrons · Physics 2015-05-27 N. Helbig , J. I. Fuks , M. Casula , M. J. Verstraete , M. A. L. Marques , I. V. Tokatly , A. Rubio

The band gaps of a few selected semiconductors/insulators are obtained from the self-consistent solution of the Hedin's equations. Two different schemes to include the vertex corrections are studied: (i) the vertex function of the…

Strongly Correlated Electrons · Physics 2017-05-17 Andrey L. Kutepov

In the derivation of low-energy effective models for solids targeting the bands near the Fermi level, the constrained random phase approximation (cRPA) has become an appreciated tool to compute the effective interactions. The Wick-ordered…

Strongly Correlated Electrons · Physics 2015-07-15 Michael Kinza , Carsten Honerkamp

The strong-interaction functionals $W_\infty[n]$ and ${W'}_\infty[n]$ play an important role in the adiabatic-connection method of Density Functional Theory. The strictly-correlated electron approach can be used to exactly compute these…

Other Condensed Matter · Physics 2026-03-09 L. A. Constantin , F. Naeem , 3 E. Fabiano , F. Sarcinella , F. Della Sala

The known and usable truly nonlocal functionals for exchange-correlation energy of the inhomogeneous electron gas are the ADA (average density approximation) and the WDA (weighted density approximation). ADA, by design, yields the correct…

Materials Science · Physics 2009-10-30 I. I. Mazin , D. J. Singh

We have computed the surface energies, work functions, and interlayer surface relaxations of clean (111), (110), and (100) surfaces of Al, Cu, Ru, Rh, Pd, Ag, Pt, and Au. Many of these metallic surfaces have technological or catalytic…

Materials Science · Physics 2022-06-01 Abhirup Patra , Jefferson E. Bates , Jianwei Sun , John P. Perdew

Hybrid functionals' non-local exchange-correlation potential contains a derivative discontinuity that improves on standard semi-local density functional theory (DFT) band gaps. Moreover, by careful parameterization, hybrid functionals can…

Materials Science · Physics 2017-11-06 Viktor Ivády , Adam Gali , Igor A. Abrikosov

In designing and optimizing new-generation nanomaterials and related quantum devices, dissipation versus decoherence phenomena are often accounted for via local scattering models, such as relaxation-time and Boltzmann-like schemes. Here we…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Rita Claudia Iotti , Fabrizio Dolcini , Fausto Rossi

It is believed that the density functional theory (DFT) describes most elements with s, p and d orbitals very well, except some materials that having strongly localized and correlated valence electrons. In this work, we find that the widely…

Materials Science · Physics 2020-03-17 Y. X. Wang , Hua Y. Geng , Q. Wu , Xiang R. Chen

We propose a computational method that simplifies drastically the inclusion of spin-orbit interaction in density functional theory implemented on localised atomic orbital basis sets. Our method is based on a well-known procedure for…

Materials Science · Physics 2009-11-11 Lucas Fernandez-Seivane , Miguel A. Oliveira , Stefano Sanvito , Jaime Ferrer

We present a generalized formulation of the Optimized Effective Potential (OEP) approach to the Self Interaction Correction (SIC) problem in Time Dependent (TD) Density Functional Theory (DFT). The formulation relies on the introduction of…

Quantum Physics · Physics 2016-02-03 J. Messud , P. M. Dinh , P. -G. Reinhard , E. ~Suraud

An $\hbar$-expansion is presented for the ensemble-averaged spectral function of noninteracting matter waves in random potentials. We obtain the leading quantum corrections to the deep classical limit at high energies by the Wigner-Weyl…

Quantum Gases · Physics 2015-06-01 Martin-Isbjörn Trappe , Dominique Delande , Cord A. Müller

Careful exploration of the idea that equation for radial wave function must be compatible with the full Schrodinger equation shows appearance of the delta-function while reduction of full Schrodinger equation in spherical coordinates.…

Mathematical Physics · Physics 2010-05-21 Anzor A. Khelashvili , Teimuraz P. Nadareishvili

Plane-wave electronic-structure predictions based upon orbital-dependent density-functional theory (OD-DFT) approximations, such as hybrid density-functional methods and self-interaction density-functional corrections, are severely affected…

Materials Science · Physics 2011-10-19 Yanli Li , Ismaila Dabo

In this article, we investigate the role of the self-interaction error in the simulation of collisions using time-dependent density functional theory (TDDFT) and Ehrenfest dynamics. We compare many different approximations of the exchange…

Chemical Physics · Physics 2017-05-03 Edwin E. Quashie , Bidhan C. Saha , Xavier Andrade , Alfredo A. Correa
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