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The particle-particle random phase approximation (pp-RPA) has been shown to be capable of describing double, Rydberg, and charge transfer excitations, for which the conventional time-dependent density functional theory (TDDFT) might not be…

Computational Physics · Physics 2017-04-26 Jianfeng Lu , Haizhao Yang

Fragmentation of the dipole strength in the N=82 isotones 140Ce, 142Nd and 144Sm is calculated using the second random-phase approximation (SRPA). In comparison with the result of the random-phase approximation (RPA), the SRPA provides the…

Nuclear Theory · Physics 2012-10-03 Mitsuru Tohyama , Takashi Nakatsukasa

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 considerably simplifies…

Nuclear Theory · Physics 2009-11-07 V. O. Nesterenko , J. Kvasil , P. -G. Reinhard

We present an efficient particle-particle random phase approximation (ppRPA) approach that predicts accurate excitation energies of point defects, including the nitrogen-vacancy (NV$^-$) and the silicon-vacancy (SiV$^0$) centers in diamond…

Chemical Physics · Physics 2024-03-13 Jiachen Li , Yu Jin , Jincheng Yu , Weitao Yang , Tianyu Zhu

A fully self-consistent renormalized random-phase approximation is constructed based on the self-consistent Hartree-Fock mean field plus exact pairing solutions (EP). This approach exactly conserves the particle number and restores the…

Nuclear Theory · Physics 2019-06-06 L. Tan Phuc , N. Quang Hung , N. Dinh Dang

The self-consistent separable random-phase approximation (SRPA) model with Skyrme forces is extended to the case of magnetic excitations and applied to the description of spin-flip and orbital M1 giant resonances in the isotopic chain…

Nuclear Theory · Physics 2011-05-26 V. O. Nesterenko , J. Kvasil , P. Vesely , W. Kleinig , P. -G. Reinhard

A finite rank separable approximation for the particle-hole RPA calculations with Skyrme interactions is extended to take into account the pairing. As an illustration of the method energies and transition probabilities for the quadrupole…

Nuclear Theory · Physics 2009-11-07 A. P. Severyukhin , Ch. Stoyanov , V. V. Voronov , Nguyen Van Giai

We present a thermal and quantum-mechanical treatment of nuclear rotation using the formalism of static path approximation (SPA) plus random-phase approximation (RPA). Naive perturbation theory fails because of the presence of…

Nuclear Theory · Physics 2008-11-26 K. Kaneko , A. Schiller

The theoretical formalism of inclusive lepton-nucleus scattering in the two-nucleon emission channel is discussed in the context of a simplified approach, the modified convolution approximation. This allows one to write the 2p2h responses…

Nuclear Theory · Physics 2018-01-17 I. Ruiz Simo , J. E. Amaro , M. B. Barbaro , J. A. Caballero , G. D. Megias , T. W. Donnelly

We check the accuracy of the constrained random phase approximation (cRPA) downfolding scheme by considering one-dimensional two- and three-orbital Hubbard models with a target band at the Fermi level and one or two screening bands away…

Strongly Correlated Electrons · Physics 2018-12-31 Carsten Honerkamp , Hiroshi Shinaoka , Fakher F. Assaad , Philipp Werner

The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of…

Materials Science · Physics 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

We apply the subtracted kernel method (SKM), a renormalization approach based on recursive multiple subtractions performed in the kernel of the scattering equation, to the chiral nucleon-nucleon (NN) interactions up to…

Nuclear Theory · Physics 2015-06-03 Sérgio Szpigel , Varese S. Timóteo

A finite rank separable approximation for the quasiparticle RPA calculations with Skyrme interactions that was proposed in our previous work is extended to take into account the coupling between one- and two-phonon terms in the wave…

Nuclear Theory · Physics 2009-11-10 A. P. Severyukhin , V. V. Voronov , Ch. Stoyanov , Nguyen Van Giai

Random phase approximation ground state contains electronic configurations where two (and more) identical electrons can occupy the same molecular spin-orbital violating the Pauli exclusion principle. This overcounting of electronic…

Chemical Physics · Physics 2017-10-25 Daniel S. Kosov

Although nuclear energy density functionals are determined primarily by fitting to ground state properties, they are often applied in nuclear astrophysics to excited states, usually through the quasiparticle random phase approximation…

Nuclear Theory · Physics 2011-08-22 J. Terasaki , J. Engel

We examine the response of closed-shell nuclei using a correlated interaction, derived with the Unitary Correlation Operator Method (UCOM) from the Argonne V18 potential, in second RPA (SRPA) calculations. The same correlated two-body…

Nuclear Theory · Physics 2009-01-13 P. Papakonstantinou , R. Roth

The random phase approximation (RPA) for the electron correlation energy, combined with the exact-exchange energy, represents the state-of-the-art exchange-correlation functional within density-functional theory (DFT). However, the standard…

Other Condensed Matter · Physics 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

We developed an efficient active-space particle-particle random phase approximation (ppRPA) approach to calculate accurate charge-neutral excitation energies of molecular systems. The active-space ppRPA approach constrains both indexes in…

Chemical Physics · Physics 2023-09-29 Jiachen Li , Jincheng Yu , Zehua Chen , Weitao Yang

We present an approximation scheme for the calculation of the principal excitation energies and transition moments of finite many-body systems. The scheme is derived from a first order approximation to the self energy of a recently proposed…

Chemical Physics · Physics 2009-10-30 Joachim Brand , Lorenz S. Cederbaum

Developing theoretical understanding of complex reactions and processes at interfaces requires using methods that go beyond semilocal density functional theory to accurately describe the interactions between solvent, reactants and…