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We present a new density-functional method of the self-consistent electronic-structure calculation which does not exploit any local density approximations (LDA). We use the exchange-correlation energy which consists of the exact exchange…

Statistical Mechanics · Physics 2009-10-30 Takao Kotani

Asymptotics-based configuration-interaction (CI) methods [G. Friesecke and B. D. Goddard, Multiscale Model. Simul. 7, 1876 (2009)] are a class of CI methods for atoms which reproduce, at fixed finite subspace dimension, the exact…

Quantum Physics · Physics 2012-04-06 Christian Mendl , Gero Friesecke

Density functional approximations are known to significantly overestimate the polarizabilities of long chain-like molecules. We study the static electric dipole polarizabilities and the vertical ionization potentials of polyacenes from…

Chemical Physics · Physics 2021-03-10 Sharmin Akter , Yoh Yamamoto , Rajendra R. Zope , Tunna Baruah

(Semi)-local density functional approximations (DFAs) suffer from self-interaction error (SIE). When the first ionization energy (IE) is computed as the negative of the highest-occupied orbital (HO) eigenvalue, DFAs notoriously…

Long-range corrected (LC) hybrid functionals and asymptotically corrected (AC) model potentials are two distinct density functional methods with correct asymptotic behavior. They are known to be accurate for properties that are sensitive to…

Chemical Physics · Physics 2017-09-13 Chen-Wei Tsai , Yu-Chuan Su , Guan-De Li , Jeng-Da Chai

Small system sizes are a well known source of error in DFT calculations, yet computational constraints frequently dictate the use of small supercells, often as small as 96 atoms in oxides and compound semiconductors. In ionic compounds,…

Materials Science · Physics 2017-09-19 P. A. Burr , M. W. D. Cooper

Density functional theory calculations for the electronic structures of the 4H-SiC(0001)/SiO$_2$ interface with atomic-scale steps are carried out to investigate the effect of NO annealing. The characteristic behavior of the conduction band…

Materials Science · Physics 2024-01-09 Mitsuharu Uemoto , Nahoto Funaki , Kazuma Yokota , Takuji Hosoi , Tomoya Ono

The journey of theoretical study on semiconductors is reviewed in a non-conventional way. We have started with the basic introduction of Hartree-Fock method and introduce the fundamentals of Density Functional Theory (DFT). From the oldest…

Materials Science · Physics 2021-05-04 Sujoy Datta , Debnarayan Jana

In density functional theory (DFT) based total energy studies, the van der Waals (vdW) and zero-point vibrational energy (ZPVE) correction terms are included to obtain energy differences between polymorphs. We propose and compute a new…

In the spirit of recently developed LDA+U and LDA+DMFT methods we implement a combination of density functional theory in its local density approximation (LDA) with a $k$- and $\omega -$dependent self-energy found from diagrammatic…

Strongly Correlated Electrons · Physics 2018-04-17 Sergey Y. Savrasov , Giacomo Resta , Xiangang Wan

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

Materials Science · Physics 2009-02-05 H. A. Fertig , W. Kohn

We consider a two-dimensional gas of interacting fermions in presence of an external constant magnetic field: the system is extended and homogeneous, and thus assumed to be invariant under magnetic translations. Working within the…

Mathematical Physics · Physics 2026-02-18 Horia D. Cornean , Emanuela Laura Giacomelli , Domenico Monaco , Mikkel Hviid Thorn

Ensemble density-functional theory (eDFT) suffers from the so-called "ghost interaction" error when approximate exchange-correlation functionals are used. In this work, we present a rigorous ghost interaction correction (GIC) scheme in the…

Chemical Physics · Physics 2016-07-21 Md. Mehboob Alam , Stefan Knecht , Emmanuel Fromager

The local-density approximation (LDA), together with the half-occupation (transition state) is notoriously successful in the calculation of atomic ionization potentials. When it comes to extended systems, such as a semiconductor infinite…

Materials Science · Physics 2009-11-13 Luiz G. Ferreira , Marcelo Marques , Lara K. Teles

We have performed self-consistent calculations for first and second row atoms using a variant of density-functional theory, the optimized effective potential method, with an approximation due to Krieger, Li and Iafrate and a…

chem-ph · Physics 2009-10-28 Tobias Grabo , E. K. U. Gross

Achieving self-consistent convergence with the conventional effective-mass approach at ultra-low temperatures (below $4.2~K$) is a challenging task, which mostly lies in the discontinuities in material properties (e.g., effective-mass,…

Mesoscale and Nanoscale Physics · Physics 2025-04-14 Vahid Mosallanejad , Haiou Li , Gang Cao , Kuei-Lin Chiu , Wenjie Dou , Guo-ping Guo

To calculate static response properties of a many body system, local density approximation (LDA) can be safely applied. But applicability of LDA is limited for the case of dynamical response functions since dynamics of the system needs to…

Quantum Gases · Physics 2015-12-01 Sudeep Kumar Ghosh

We report an efficient algorithm using density fitting for the relativistic complete active space self-consistent field (CASSCF) method, which is significantly more stable than the algorithm previously reported by one of the authors [J. E.…

Chemical Physics · Physics 2018-08-01 Ryan D. Reynolds , Takeshi Yanai , Toru Shiozaki

We conduct a detailed investigation of the polaron self-interaction (pSI) error in standard approximations to the exchange-correlation (XC) functional within density-functional theory (DFT). The pSI leads to delocalization error in the…

Materials Science · Physics 2020-08-03 Babak Sadigh , Paul Erhart , Daniel Åberg

We extend the simplex-in-cell (SIC) technique recently introduced in the context of collisionless dark matter fluids (Abel et al. 2012; Hahn et al. 2012) to the case of collisionless plasmas. The six-dimensional phase space distribution…

Computational Physics · Physics 2015-06-25 Julian Kates-Harbeck , Samuel Totorica , Jonathan Zrake , Tom Abel
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