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Self-consistent factorization of two-body residual interaction is proposed for arbitrary density- and current-dependent energy functionals. Following this procedure, a separable RPA (SRPA) method is constructed. SRPA dramatically simplifies…

核理论 · 物理学 2017-08-23 J. Kvasil , V. O. Nesterenko , P. -G. Reinhard

We formulate the self-consistent separable random-phase-approximation (SRPA) method and specify it for Skyrme forces with pairing for the case of axially symmetric deformed nuclei. The factorization of the residual interaction allows to…

核理论 · 物理学 2009-11-11 V. O. Nesterenko , W. Kleinig , J. Kvasil , P. Vesely , P. -G. Reinhard , D. S. Dolci

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA…

核理论 · 物理学 2021-08-25 P. Schuck , D. S. Delion , J. Dukelsky , M. Jemai , E. Litvinova , G. Roepke , M. Tohyama

We present a real-space method for computing the random phase approximation (RPA) correlation energy within Kohn-Sham density functional theory, leveraging the low-rank nature of the frequency-dependent density response operator. In…

计算物理 · 物理学 2025-04-03 Boqin Zhang , Shikhar Shah , John E. Pask , Edmond Chow , Phanish Suryanarayana

Within the 1D Hubbard model linear closed chains with various numbers of sites are considered in Self Consistent Random Phase Approximation (SCRPA). Excellent results with a minimal numerical effort are obtained for 2+4n sites cases,…

强关联电子 · 物理学 2009-11-10 Mohsen Jemai , Peter Schuck , Jorge Dukelsky , Raouf Bennaceur

Self-consistent relativistic random-phase approximation (RPA) in the radial coordinate representation is established by using the finite amplitude method (FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as example,…

核理论 · 物理学 2013-10-16 Haozhao Liang , Takashi Nakatsukasa , Zhongming Niu , Jie Meng

Self Consistent Quasiparticle Random Phase Approximation (SCQRPA) is considered in application to the Fermi transitions within the O(5) model. It is demonstrated that SCQRPA improves on renormalized QRPA (RQRPA), a method that has recently…

核理论 · 物理学 2009-10-31 F. Krmpotic , E. J. V. de Passos , D. S. Delion , J. Dukelsky , P. Schuck

The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

核理论 · 物理学 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant…

核理论 · 物理学 2011-03-21 J. Daoutidis , P. Ring

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

其他凝聚态物理 · 物理学 2009-11-13 Hong Jiang , Eberhard Engel

A self-consistent version of the Thermal Random Phase Approximation (TSCRPA) is developed within the Matsubara Green's Function (GF) formalism. The TSCRPA is applied to the many level pairing model. The normal phase of the system is…

核理论 · 物理学 2016-08-16 A. Storozhenko , P. Schuck , J. Dukelsky , G. Röpke , A. Vdovin

The time-dependent superfluid local density approximation (TDSLDA) is an extension of the Hohenberg-Kohn density functional theory (DFT) to time-dependent phenomena in superfluid fermionic systems. Unlike linear response theory, which is…

量子气体 · 物理学 2015-04-13 Aurel Bulgac , Michael McNeil Forbes

The random phase approximation (RPA) has received a considerable interest in the field of modeling systems where noncovalent interactions are important. Its advantages over widely used density functional theory (DFT) approximations are the…

化学物理 · 物理学 2019-12-04 Marcin Modrzejewski , Sirous Yourdkhani , Jiri Klimes

The self-consistent random phase approximation (RPA) approach with the residual interaction derived from a relativistic point-coupling energy functional is applied to evaluate the isospin symmetry-breaking corrections {\delta}c for the…

核理论 · 物理学 2015-03-19 Z. X. Li , J. M. Yao , H. Chen

The dynamical effects of ground state correlations for excitation energies and transition strengths near the superfluid phase transition are studied in the soluble two level pairing model, in the context of the particle-particle self…

核理论 · 物理学 2008-11-26 E. J. V. de Passos , A. F. R. de Toledo Piza , F. Krmpotić

We derive the self-consistent random phase approximations (sc-RPA) from the projective truncation approximation (PTA) for the equation of motion of two-time Green's function. The obtained sc-RPA applies to arbitrary temperature and recovers…

强关联电子 · 物理学 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong

A stochastic approach to time-dependent density functional theory (TDDFT) is developed for computing the absorption cross section and the random phase approximation (RPA) correlation energy. The core idea of the approach involves…

化学物理 · 物理学 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani

In correlated electron materials, the application of many-body techniques for the study of interaction effects or unconventional superconductivity often requires the formulation of an effective low-energy model that contains only the…

强关联电子 · 物理学 2013-05-30 Carsten Honerkamp

We propose a high-speed and accurate hybrid dynamic density functional theory for the computer simulations of the phase separation processes of polymer melts and blends. The proposed theory is a combination of the dynamic self-consistent…

软凝聚态物质 · 物理学 2009-11-11 Takashi Honda , Toshihiro Kawakatsu

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

核理论 · 物理学 2020-06-02 Anton Repko
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