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By adding a non-linear core correction to the well established Dual Space Gaussian type pseudopotentials for the chemical elements up to the third period, we construct improved pseudopotentials for the Perdew Burke Ernzerhof (PBE)…

We derive and employ a local potential to represent the Fock exchange operator in electronic single-particle equations. This local Fock-exchange (LFX) potential is very similar to the exact exchange (EXX) potential in density functional…

材料科学 · 物理学 2016-12-21 T. W. Hollins , S. J. Clark , K. Refson , N. I. Gidopoulos

The nuclear symmetry energy is defined by the second derivative of the energy per nucleon with respect to the proton-neutron asymmetry, and is sometimes approximated by the energy difference between the neutron matter and the symmetric…

核理论 · 物理学 2017-04-24 Y. Tsukioka , H. Nakada

We discuss two different approximation schemes for the self-consistent solution of the {\it relativistic} Brueckner-Hartree-Fock equation for finite nuclei. In the first scheme, the Dirac effects are deduced from corresponding nuclear…

核理论 · 物理学 2009-10-22 R. Fritz H. Müther , R. Machleidt

We describe a method of solving the nuclear Skyrme-Hartree-Fock problem by using a deformed Cartesian harmonic oscillator basis. The complete list of expressions required to calculate local densities, total energy, and self-consistent…

核理论 · 物理学 2009-10-30 J. Dobaczewski , J. Dudek

We investigate fundamental properties of meta-generalized-gradient approximations (meta-GGAs) to the exchange-correlation energy functional, which have an implicit density dependence via the Kohn-Sham kinetic-energy density. To this…

化学物理 · 物理学 2014-12-10 F. G. Eich , Maria Hellgren

Calculating highly accurate thermochemical properties of condensed matter via wave function-based approaches (such as e.g. Hartree-Fock or hybrid functionals) has recently attracted much interest. We here present two strategies providing…

Results of the self-consistent calculation of electronic structure of endohedral fullerene Ar@C$_{60}$ within the Hartree-Fock and the local density approximations are presented. Hartree-Fock approximation is used for the self-consistent…

原子与分子团簇 · 物理学 2016-10-07 Alexey V. Verkhovtsev , Roman G. Polozkov , Vadim K. Ivanov , Andrei V. Korol , Andrey V. Solov'yov

We investigate the role of deformation on the fusion probability around the barrier using the Time-Dependent Hartree-Fock theory with a full Skyrme force. We obtain a distribution of fusion probabilities around the nominal barrier due to…

A new, very fast, implementation of the exact (Fock) exchange operator for electronic structure calculations within the plane-wave pseudopotential method is described in detail for both molecular and periodic systems, and carefully…

材料科学 · 物理学 2018-12-12 Ivan Carnimeo , Stefano Baroni , Paolo Giannozzi

Hartree-Fock calculations with the SKX Skyrme interaction are carried out to obtain alpha-decay Q values for deformed nuclei above $^{208}$Pb assuming axial symmetry. The results for even-even nuclei are compared with experiment and with…

核理论 · 物理学 2008-11-26 S. Typel , B. A. Brown

We have examined the performance of the analytic Hartree-Fock-Slater (HFS) method for various alpha (Slater's exchange parameter) values and empiricaly determined the optimal alpha value by minimizing the mean absolute error (MAE) in…

其他凝聚态物理 · 物理学 2016-08-31 Rajendra R. Zope , Brett I. Dunlap

We present an efficient implementation of the PBE0 hybrid functional within the full-potential linearized augmented-plane-wave (FLAPW) method. The Hartree-Fock exchange term, which is a central ingredient of hybrid functionals, gives rise…

材料科学 · 物理学 2010-05-28 Markus Betzinger , Christoph Friedrich , Stefan Blügel

We prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb energy of a general many-particle quantum state, with a lower constant than the original statement but involving an additional gradient correction. The result is…

数学物理 · 物理学 2015-02-12 Mathieu Lewin , Elliott H. Lieb

Nuclear energy density functionals successfully reproduce properties of nuclei across almost the entire nuclear chart. However, nearly all available functionals are phenomenological in nature and lack a rigorous connection to systematically…

核理论 · 物理学 2024-01-22 L. Zurek , S. K. Bogner , R. J. Furnstahl , R. Navarro Pérez , N. Schunck , A. Schwenk

In the framework of density-functional theory, several popular density functionals for exchange and correlation have been constructed to satisfy a local form of the Lieb-Oxford bound. In its original global expression, the bound represents…

其他凝聚态物理 · 物理学 2012-05-31 J. G. Vilhena , E. Rasanen , L. Lehtovaara , M. A. L. Marques

Density functional calculations of Rydberg excited states up to high energy are carried out for several molecules using an approach where the orbitals are variationally optimized by converging on saddle points on the electronic energy…

Under a certain scaling, the electron densities of finite systems become both large and slowly-varying, so that the gradient expansions of the density functionals for the Kohn-Sham kinetic and exchange energies become asymptotically exact…

量子物理 · 物理学 2009-11-13 John P. Perdew , Lucian A. Constantin , Espen Sagvolden , Kieron Burke

The electronic structure of noble-gas solids is calculated within density functional theory's exact-exchange method (EXX) and compared with the results from the local-density approximation (LDA). It is shown that the EXX method does not…

材料科学 · 物理学 2007-05-23 R. J. Magyar , A. Fleszar , E. K. U. Gross

We propose approximations which go beyond the local density approximation for the short-range exchange and correlation density functionals appearing in a multi-determinantal extension of the Kohn-Sham scheme. A first approximation consists…

化学物理 · 物理学 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin