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In most of the successful versions of covariant density functional theory in nuclei, the Fock terms are not included explicitly, which leads to local functionals and forms the basis of their widespread applicability at present. However, it…

核理论 · 物理学 2012-09-04 Haozhao Liang , Pengwei Zhao , Peter Ring , Xavier Roca-Maza , Jie Meng

The recent progress in the studies of nuclear charge-exchange excitations with localized covariant density functional theory is briefly presented, by taking the fine structure of spin-dipole excitations in 16O as an example. It is shown…

核理论 · 物理学 2014-03-26 H. Z. Liang , J. Meng , T. Nakatsukasa , Z. M. Niu , P. Ring , X. Roca-Maza , N. Van Giai , P. W. Zhao

A new density-dependent point-coupling covariant density functional PCF-PK1 is proposed, where the exchange terms of the four-fermion terms are local and are taken into account with the Fierz transformation. The coupling constants of the…

核理论 · 物理学 2022-10-05 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Jie Meng

Time-dependent Hartree-Fock theory is used to describe density oscillations of symmetry-unrestricted two-dimensional nanostructures. In the small amplitude limit the results reproduce those obtained within a perturbative approach such as…

介观与纳米尺度物理 · 物理学 2009-11-07 Antonio Puente , Llorenç Serra , Vidar Gudmundsson

A new relativistic Hartree-Fock approach with density-dependent $\sigma$, $\omega$, $\rho$ and $\pi$ meson-nucleon couplings for finite nuclei and nuclear matter is presented. Good description for finite nuclei and nuclear matter is…

核理论 · 物理学 2009-11-11 WenHui Long , Nguyen Van Giai , Jie Meng

Relativistic Hartree-Fock theory is combined with the Green's function method in coordinate space to study both single-particle bound and resonant states within a unified framework. Within this approach, single-particle resonance energies…

核理论 · 物理学 2026-03-06 Wei Gao , Ting Ting Sun , Wen Hui Long

A resonant level strongly coupled to a local phonon under nonequilibrium conditions is investigated. The nonequilibrium Hartree-Fock approximation is shown to correspond to approximating the steady state density matrix by delta functions at…

介观与纳米尺度物理 · 物理学 2009-11-10 A. Mitra , I. Aleiner , A. J. Millis

By minimizing the difference between the left- and the right-hand sides of the many-body time-dependent Schr\"{o}dinger equation with the Slater-determinant wave-function, we derive a non-adiabatic and self-interaction free time-dependent…

量子物理 · 物理学 2013-04-26 V. U. Nazarov

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the…

核理论 · 物理学 2010-04-06 Wen Hui Long , Peter Ring , Nguyen Van Giai , Jie Meng

This note is intended for expanding the details on the derivation and properties of density functional theory, in hope to make them more systematic, better motivated, and step-by-step for readers new to the domain. The note starts with…

化学物理 · 物理学 2024-12-31 Chang Liu

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

核理论 · 物理学 2021-04-27 S. Gmuca , K. Petrik , J. Leja

We show that the Hartree-Fock (HF) results cannot be reproduced within the framework of Kohn-Sham (KS) theory because the single-particle densities of finite systems obtained within the HF calculations are not $v$-representable, i.e., do…

其他凝聚态物理 · 物理学 2009-11-10 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan , D. Sokolovski

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

核理论 · 物理学 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

核理论 · 物理学 2008-11-26 F. Hofmann , H. Lenske

Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential…

数学物理 · 物理学 2021-06-14 Rodrigo Matos , Jeffrey Schenker

Density functional theory (DFT) can run into serious difficulties with localized states in elements such as transition metals with occupied-d states and oxygen. In contrast, Hartree-Fock (HF) method can be a better approach for such…

材料科学 · 物理学 2018-08-01 Hengxin Tan , Yuanchang Li , S. B. Zhang , Wenhui Duan

The covariant density functional theory with a few number of parameters has been widely used to describe the ground-state and excited-state properties for the nuclei all over the nuclear chart. In order to describe exotic properties of…

核理论 · 物理学 2016-03-11 Jie Meng , Shan-Gui Zhou

We develop an ensemble density functional theory for the fractional quantum Hall effect using a local density approximation. Model calculations for edge reconstructions of a spin-polarized quantum dot give results in good agreement with…

凝聚态物理 · 物理学 2009-10-28 O. Heinonen , M. I. Lubin , M. D. Johnson

The inclusion of nucleonic exchange energy has been a long-standing challenge for the relativistic density functional theory (RDFT) in nuclear physics. We propose an orbital-dependent relativistic Kohn-Sham density functional theory to…

核理论 · 物理学 2023-04-26 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Tae-Sun Park

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

介观与纳米尺度物理 · 物理学 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen
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