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We report an implementation of the constrained random phase approximation (cRPA) method within the projector augmented-wave framework. It allows for the calculation of the screened interaction in the same Wannier orbitals as our recent…

Strongly Correlated Electrons · Physics 2014-03-24 Bernard Amadon , Thomas Applencourt , Fabien Bruneval

We present the self-consistent treatment of the simplest, nontrivial, self-gravitating system of degenerate neutrons, protons and electrons in $\beta$-equilibrium within relativistic quantum statistics and the Einstein-Maxwell equations.…

General Relativity and Quantum Cosmology · Physics 2011-09-14 M. Rotondo , Jorge A. Rueda , R. Ruffini , S. -S. Xue

Precision beta decay experiments serve as powerful probes of physics beyond the Standard Model, enabling stringent tests of fundamental symmetries of nature. In particular, these experiments primarily focus on precise determinations of the…

Nuclear Theory · Physics 2026-02-03 Grigor H. Sargsyan , Garrett B. King , Ayala Glick-Magid , Chien-Yeah Seng

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

We present a theoretical and numerical study of the correlation between electrons and the fermionic $^{13}$C and $^{19}$F nuclei. We use the random-phase approximation (RPA) as a valuable tool in obtaining these correlation energies. A…

Chemical Physics · Physics 2026-04-29 Janina Vohdin , Christof Holzer

We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

Strongly Correlated Electrons · Physics 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

We consider the isospin breaking corrections to charmless semileptonic decays of B mesons. Both, the recently measured branching ratios of exclusive decays by the CLEO Collaboration and the end-point reion of the inclusive lepton spectrum…

High Energy Physics - Phenomenology · Physics 2010-11-23 G. Lopez Castro , J. H. Munoz , G. Toledo Sanchez

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…

Strongly Correlated Electrons · Physics 2013-05-30 Carsten Honerkamp

We present a calculation of the properties of vibrational states in deformed, axially--symmetric even--even nuclei, within the framework of a fully self--consistent Quasparticle Random Phase Approximation (QRPA). The same Skyrme energy…

Nuclear Theory · Physics 2011-02-28 C. Losa , A. Pastore , T. Dossing , E. Vigezzi , R. A. Broglia

The dynamical spin fluctuations in a two-dimensional square lattice in its paramagnetic phase are examined within the framework of Random Phase Approximation(RPA). Itinerant carriers with spin interact with each other via an…

Condensed Matter · Physics 2009-10-28 Junichiro Kishine

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…

Strongly Correlated Electrons · Physics 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong

We present an efficient implementation of the random phase approximation (RPA) for molecular systems within the domain-based local pair natural orbital (DLPNO) framework. With optimized parameters, DLPNO-RPA achieves approximately 99.9%…

Chemical Physics · Physics 2025-08-18 Yu Hsuan Liang , Xing Zhang , Garnet Kin-Lic Chan , Timothy C. Berkelbach , Hong-Zhou Ye

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…

Other Condensed Matter · Physics 2009-11-13 Hong Jiang , Eberhard Engel

We derive the normal and anomalous proper polarization functions and the screened Coulomb interactions in a two-dimensional superfluid electron-hole bilayer, including all first-order corrections beyond the Random Phase Approximation (RPA).…

Strongly Correlated Electrons · Physics 2025-10-29 Filippo Pascucci , Stefania De Palo , Sara Conti , David Neilson , Andrea Perali , Gaetano Senatore

We examine the contributions of odd-parity nuclear operators to the two-neutrino double beta decay $0^+\rightarrow 0^+$ amplitude, which come from the $P$-wave Coulomb corrections to the electron wave functions and the recoil corrections to…

Nuclear Theory · Physics 2016-08-14 C. Barbero , F. Krmpotić , A. Mariano

We perform numerical simulations of particle acceleration in relativistic, self-driven turbulent magnetic reconnection using the MHD-PIC method. We systematically investigate the dependence of the non-thermal particle spectral exponent on…

High Energy Astrophysical Phenomena · Physics 2026-04-30 Shi-Min Liang , Jian-Fu Zhang , Nian-Yu Yi

Given a square box $\Lambda_n\subseteq\mathbb Z^2$ of side length $L^n$ with $L,n>1$, we study hierarchical random fields $\{\phi_x\colon x\in\Lambda_n\}$ with law proportional to ${\rm…

Probability · Mathematics 2025-05-15 Marek Biskup , Haiyu Huang

Precise evaluation of the isotope shift (IS) factors for seven low-lying potassium (K) states is achieved using relativistic coupled-cluster (RCC) theory. The energies of these states are assessed and compared with experimental data to…

Single--particle spectra of $\Lambda $ and $\Sigma $ hypernuclei are calculated within a relativistic mean--field theory. The hyperon couplings used are compatible with the $\Lambda $ binding in saturated nuclear matter, neutron-star masses…

Nuclear Theory · Physics 2008-11-26 N. K. Glendenning , D. Von-Eiff , M. Haft , H. Lenske , M. K. Weigel

Despite the success of density functional approximations (DFAs) in describing the electronic properties of many-electron systems, the most widely used approximations suffer from self-interaction errors (SIE) that limit their predictive…

Chemical Physics · Physics 2020-01-08 Yoh Yamamoto , Carlos M. Diaz , Luis Basurto , Koblar A. Jackson , Tunna Baruah , Rajendra R. Zope