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While the coherent potential approximation (CPA) is the prevalent method for the study of disordered electronic systems, it fails to capture non-local correlations and Anderson localization. To incorporate such effects, we extend the dual…

Strongly Correlated Electrons · Physics 2013-05-08 H. Terletska , S. -X. Yang , Z. Y. Meng , J. Moreno , M. Jarrell

Mapping spins to fermions via the Jordan-Wigner (JW) transformation can render mean-field (Hartree-Fock, HF) descriptions effective for strongly correlated spin systems. As established in recent work, the application of such approaches is…

Strongly Correlated Electrons · Physics 2026-01-21 Shadan Ghassemi Tabrizi , Thomas M. Henderson , Thomas D. Kühne , Gustavo E. Scuseria

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Tim Gould , John F. Dobson

By using the quantum Ising chain as a test bed and treating the spin polarization along the external transverse field as the "generalized density", we examine the performance of different levels of density functional approximations parallel…

Computational Physics · Physics 2021-10-27 Jiahao Mao , Haifeng Tang , Wenhui Duan , Zheng Liu

For the computational prediction of core electron binding energies in solids, two distinct kinds of modelling strategies have been pursued: the $\Delta$-Self-Consistent-Field method based on density functional theory (DFT), and the GW…

Materials Science · Physics 2023-06-12 Juhan Matthias Kahk , Johannes Lischner

The random-phase approximation with second-order screened exchange (RPA+SOSEX) is a model of electron correlation energy with two caveats: its accuracy depends on an arbitrary choice of mean field, and it scales as $\mathcal{O}(n^5)$…

Materials Science · Physics 2014-01-16 Jonathan E. Moussa

The inhomogeneous Singwi, Tosi, Land and Sjolander (ISTLS) correlation energy functional of Dobson, Wang and Gould [PRB {\bf 66} 081108(R) (2008)] has proved to be excellent at predicting correlation energies in semi-homogeneous systems,…

Atomic Physics · Physics 2012-08-28 Tim Gould , John F. Dobson

To the single folding potentials (SFPs) for the nucleon-nucleus ($N$-$A$) elastic scatterings, local approximations (LAs) have customarily been applied. The LA discussed by Brieva and Rook has been well-known, which only needs the density…

Nuclear Theory · Physics 2025-04-28 K. Ishida , H. Nakada

We analyze the molecular electric dipole moments (PDMs) and static electric dipole polarizabilities of heteronuclear alkali dimers in their ground states by employing coupled-cluster theory, both in the non-relativistic and four-component…

Atomic Physics · Physics 2020-01-22 R. Mitra , V. S. Prasannaa , B. K. Sahoo

We calculate groundstate total energies and single-particle excitation energies of seven pi conjugated molecules described with the semi-empirical Pariser-Parr-Pople (PPP) model using self-consistent many-body perturbation theory at the GW…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 K. Kaasbjerg , K. S. Thygesen

We apply the quasiparticle self-consistent GW method (QSGW) to slab models of ionic materials, LiF, KF, NaCl, MgO, and CaO, under electric field. Then we obtain the optical dielectric constants E(Slab) from the differences of the slopes of…

Strongly Correlated Electrons · Physics 2020-05-20 Hirofumi Sakakibara , Takao Kotani , Masao Obata , Tatsuki Oda

We use a spin-rotational invariant Gutzwiller energy functional to compute random-phase-approximation-like (RPA) fluctuations on top of the Gutzwiller approximation (GA). The method can be viewed as an extension of the previously developed…

Strongly Correlated Electrons · Physics 2008-06-16 G. Seibold , F. Becca , P. Rubin , J. Lorenzana

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…

Nuclear Theory · Physics 2008-11-26 E. J. V. de Passos , A. F. R. de Toledo Piza , F. Krmpotić

We report on the importance of GW self-energy corrections for the electronic structure of light actinides in the weak-to-intermediate coupling regime. Our study is based on calculations of the band structure and total density of states of…

Strongly Correlated Electrons · Physics 2014-05-15 Towfiq Ahmed , R. C. Albers , A. V. Balatsky , C. Friedrich , Jian-Xin Zhu

We study finite-difference approximations of both Poisson and Poisson-Boltzmann (PB) electrostatic energy functionals for periodic structures constrained by Gauss' law and a class of local algorithms for minimizing the finite-difference…

Numerical Analysis · Mathematics 2024-09-25 Bo Li , Qian Yin , Shenggao Zhou

We recently demonstrated a connection between the random phase approximation (RPA) and coupled cluster theory [J. Chem. Phys. 129, 231101 (2008)]. Based on this result, we here propose and test a simple scheme for introducing long-range RPA…

Materials Science · Physics 2009-11-13 Benjamin G. Janesko , Thomas M. Henderson , Gustavo E. Scuseria

We report a systematic study of coherent spin precession and spin dephasing in electron-doped monolayer MoS$_2$. Using time-resolved Kerr rotation spectroscopy and applied in-plane magnetic fields, a nanosecond-timescale Larmor spin…

Materials Science · Physics 2016-02-11 Luyi Yang , Weibing Chen , Kathleen M. McCreary , Berend T. Jonker , Jun Lou , Scott A. Crooker

Various many-body perturbation theory techniques for calculating electron behavior rely on {\it W}, the screened Coulomb interaction. Computing {\it W} requires complete knowledge of the dielectric response of the electronic system, and the…

Materials Science · Physics 2021-06-30 John Vinson , Eric L. Shirley

The many-body theory of interacting electrons poses an intrinsically difficult problem that requires simplifying assumptions. For the determination of electronic screening properties of the Coulomb interaction, the Random Phase…

Strongly Correlated Electrons · Physics 2021-07-26 Erik G. C. P. van Loon , Malte Rösner , Mikhail I. Katsnelson , Tim O. Wehling

The RPA long range correlations are known to play a significant role in understanding the depletion of single particle-hole states observed in (e, e') and (e, e'p) measurements. Here the Random Phase Approximation (RPA) theory, implemented…

Nuclear Theory · Physics 2009-11-11 M. Dupuis , S. Karataglidis , E. Bauge , J. P. Delaroche , D. Gogny