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We present fully empirical exchange-correlation functionals to be used within reduced density matrix functional theory (RDMFT). These are of the popular J-K form, where the function of the occupation numbers that multiplies the Fock orbital…

Computational Physics · Physics 2017-03-03 Miguel A. L. Marques , N. N. Lathiotakis

The direct random-phase approximation (dRPA) is used to calculate and compare atomization energies for the HEAT set and 10 selected molecules of the G2-1 set using both plane waves and Gaussian-type orbitals. We describe detailed procedures…

A theory for sequence dependent liquid-liquid phase separation (LLPS) of intrinsically disordered proteins (IDPs) in the study of biomolecular condensates is formulated by extending the random phase approximation (RPA) and field-theoretic…

Biomolecules · Quantitative Biology 2022-11-28 Jonas Wessén , Suman Das , Tanmoy Pal , Hue Sun Chan

The widespread use of (generalized) Kohn-Sham density functional theory (KS-DFT) lies in the fact that hierarchical sets of approximations of the exchange-correlation (XC) energy functional can be designed, offering versatile choices to…

Materials Science · Physics 2023-01-31 Igor Ying Zhang , Xinguo Ren

Recently developed fused-ring electron-acceptors such as Y6 (BTP-4F) have strong oscillator strength, good charge-carrier transport and a small bandgap. They therefore have enormous current technical application to organic optoelectronics,…

Materials Science · Physics 2026-05-15 Tom Ward , Isabel Creed , Tim Rein , Jarvist Moore Frost

Liquid-liquid phase separation underlies phenomena ranging from protein condensate formation to the phase coexistence of synthetic polymers. Although the random phase approximation (RPA) is widely used to predict such phase behavior, its…

Soft Condensed Matter · Physics 2026-05-05 Kiyoharu Kawana , Kyosuke Adachi

We present a technique which allows us to solve the Random Phase Approximation equations with finite-range interactions and treats the continuum part of the excitation spectrum without approximations. The interaction used in the…

Nuclear Theory · Physics 2011-05-13 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

Intrinsically disordered proteins (IDPs) are typically low in nonpolar/hydrophobic but relatively high in polar, charged, and aromatic amino acid compositions. Some IDPs undergo liquid-liquid phase separation in the aqueous milieu of the…

Biomolecules · Quantitative Biology 2017-05-19 Yi-Hsuan Lin , Jianhui Song , Julie D. Forman-Kay , Hue Sun Chan

The random phase approximation (RPA) to the correlation energy is extended to fractional occupations and its performance examined for exact conditions on fractional charges and fractional spins. RPA satisfies the constancy condition for…

Other Condensed Matter · Physics 2009-03-26 Paula Mori-Sánchez , Aron J. Cohen , Weitao Yang

In recent work, generalized gradient approximations (GGA's) have been constructed from the energy density of the Airy gas for exchange but not for correlation. We report the random phase approximation (RPA) conventional correlation energy…

Materials Science · Physics 2009-06-30 Lucian A. Constantin , Adrienn Ruzsinszky , John P. Perdew

We compare the behavior of the finite-temperature Hartree-Fock model with that of thermal density functional theory using both ground-state and temperature-dependent approximate exchange functionals. The test system is bcc Li in the…

Materials Science · Physics 2013-11-26 Valentin V. Karasiev , Travis Sjostrom , S. B. Trickey

The Gaussian expansion method (GEM) is extensively applied to the calculations in the random-phase approximation (RPA). We adopt the mass-independent basis-set that has been tested in the mean-field calculations. By comparing the RPA…

Nuclear Theory · Physics 2015-05-13 H. Nakada , K. Mizuyama , M. Yamagami , M. Matsuo

We present a rigorous framework that combines single-particle Green's function theory with density functional theory based on a separation of electron-electron interactions into short-range and long-range components. Short-range…

Chemical Physics · Physics 2018-06-07 Alexei A. Kananenka , Dominika Zgid

A two-parameter extension of the density-scaled double hybrid approach of Sharkas et al. [J. Chem. Phys. 134, 064113 (2011)] is presented. It is based on the explicit treatment of a fraction of multideterminantal exact exchange. The…

Chemical Physics · Physics 2012-01-12 Emmanuel Fromager

With increasing inter-electronic distance, the screening of the electron-electron interaction by the presence of other electrons becomes the dominant source of electron correlation. This effect is described by the random phase approximation…

Chemical Physics · Physics 2022-09-29 Arno Förster

Reporting extensions of a recently developed approach to density functional theory with correct long-range be-havior (Phys. Rev. Lett. 94, 043002 (2005)). The central quantities are a splitting functional gamma[n] and a complementary…

Materials Science · Physics 2017-09-13 Ester Livshits , Roi Baer

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 accuracy of the Faddeev random phase approximation (FRPA) method is tested by calculating the total and ionization energies of a set of light atoms up to Ar. Comparisons are made with the results of coupled-cluster singles and doubles…

Chemical Physics · Physics 2015-05-18 C. Barbieri , D. Van Neck , M. Degroote

The alternative separation of exchange and correlation energies proposed by Toulouse et al. [Theor. Chem. Acc. 114, 305 (2005)] is explored in the context of multi-configuration range-separated density-functional theory. The new…

A simple minimally perturbative method is introduced which provides the ability to experimentally measure both the radial confining potential and the interaction potential between two individual dust particles, levitated in the sheath of a…

Plasma Physics · Physics 2015-05-19 Zhuanhao Zhang , Ke Qiao , Jie Kong , Lorin Matthews , Truell Hyde
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