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It is observed that the exact interacting ground-state electronic energy of interest may be obtained directly, in principle, as a simple sum of orbital energies when a universal density-dependent term is added to $w\left(\left[ \rho…

Chemical Physics · Physics 2016-02-11 Mel Levy , Federico Zahariev

The GW plus Bethe-Salpeter equation (GW-BSE) formalism is a well-established approach for calculating excitation energies and optical spectra of molecules, nanostructures, and crystalline materials. We implement GW-BSE in the CP2K code and…

Computational Physics · Physics 2026-05-29 Maximilian Graml , Jan Wilhelm

The recently developed semistochastic heat-bath configuration interaction (SHCI) method is a systematically improvable selected configuration interaction plus perturbation theory method capable of giving essentially exact energies for…

Chemical Physics · Physics 2020-10-01 Yuan Yao , Emmanuel Giner , Junhao Li , Julien Toulouse , C. J. Umrigar

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 $GW$ approximation is a widely used framework for studying correlated materials, but it struggles with certain limitations, such as its inability to explain pseudogap phenomena. To overcome these problems, we propose a systematic…

Strongly Correlated Electrons · Physics 2024-09-26 Hui Li , Yingze Su , Junnian Xiong , Haiqing Lin , Huaqing Huang , Dingping Li

The combination of two-dimensional materials into heterostructures offers new opportunities for the design of optoelectronic devices with tunable properties. However, computing electronic and optical properties of such systems using…

Materials Science · Physics 2025-07-25 Maximilian Schebek , Ignacio Gonzalez Oliva , Claudia Draxl

We calculate ground state energies in the Brueckner-Hartree-Fock theory for $N$ electrons (with $N\le 20$) confined to a circular quantum dot and in presence of a static magnetic field. Comparison with the predictions of Hartree-Fock,…

Strongly Correlated Electrons · Physics 2007-05-23 A. Emperador , E. Lipparini , Ll. Serra

Donor-based quantum devices in silicon are attractive platforms for universal quantum computing and analog quantum simulations. The nearly-atomic precision in dopant placement promises great control over the quantum properties of these…

Quantum Physics · Physics 2025-03-05 Maicol A. Ochoa , Keyi Liu , Piotr Różański , Michał Zieliński , Garnett W. Bryant

We show that a simple correlated wave function, obtained by applying a Jastrow correlation term to an Antisymmetrized Geminal Power (AGP), based upon singlet pairs between electrons, is particularly suited for describing the electronic…

Other Condensed Matter · Physics 2009-11-10 M. Casula , C. Attaccalite , S. Sorella

Few-electron systems confined in two-dimensional parabolic quantum dots at high magnetic fields are studied by the Hartree-Fock (HF) and exact diagonalization methods. A generalized multicenter Gaussian basis is proposed in the HF method. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Szafran , S. Bednarek , J. Adamowski , M. B. Tavernier , E. Anisimovas , F. M. Peeters

The self-consistent GW band gaps are known to be significantly overestimated. We show that this overestimation is, to a large extent, due to the neglect of the contribution of the lattice polarization to the screening of the…

Materials Science · Physics 2015-06-15 Silvana Botti , Miguel A. L. Marques

The low-energy spectra of the single-mode h x (G+H) linear Jahn-Teller model is studied by means of exact diagonalization. Both eigenenergies and photoemission spectral intensities are computed. These spectra are useful to understand the…

Chemical Physics · Physics 2009-11-10 Nicola Manini

We apply the renormalized singles (RS) Green's function in the Bethe-Salpeter equation (BSE)/$GW$ approach to predict accurate neutral excitation energies of molecular systems. The BSE calculations are performed on top of the…

Chemical Physics · Physics 2022-10-26 Jiachen Li , Dorothea Golze , Weitao Yang

We present a self-consistent approach for computing the correlated quasiparticle spectrum of charged excitations in iterative $\mathcal{O}[N^5]$ computational time. This is based on the auxiliary second-order Green's function approach [O.…

Chemical Physics · Physics 2020-10-05 Oliver J. Backhouse , George H. Booth

The GW approximation is a well-known method to improve electronic structure predictions calculated within density functional theory. In this work, we have implemented a computationally efficient GW approach that calculates central…

The multi-configuration Dirac-Hartree-Fock method was employed to calculate the total and excitation energies, oscillator strengths and hyperfine structure constants for low-lying levels of Sm I. In the first-order perturbation…

Atomic Physics · Physics 2015-09-16 Fuyang Zhou , Yizhi Qu , Jiguang Li , Jianguo Wang

We study the ground state and the low-lying excitations of a trapped Bose gas in an isotropic harmonic potential for very small ($\sim 3$) to very large ($\sim 10^7$) particle numbers. We use the correlated two-body basis functions and the…

Quantum Gases · Physics 2017-05-24 M. L. Lekala , B. Chakrabarti , T. K. Das , G. J. Rampho , S. A. Sofianos , R. M. Adam , S. K. Haldar

We calculate the Hartree-Fock energy of a density-wave in a spin polarized two-dimensional electron gas using a short-range repulsive interaction. We find that the stable ground state for a short-range potential is always either the…

Strongly Correlated Electrons · Physics 2009-11-10 Juana Moreno , D. C. Marinescu

We calculate the electronic and optical excitations of polythiophene using the GW approximation for the electronic self-energy, and include excitonic effects by solving the electron-hole Bethe-Salpeter equation. Two different situations are…

Materials Science · Physics 2009-10-31 J. -W. van der Horst , P. A. Bobbert , P. H. L. de Jong , M. A. J. Michels , G. Brocks , P. J. Kelly

A new cumulant-based $GW$ approximation for the retarded one-particle Green's function is proposed, motivated by an exact relation between the improper Dyson self-energy and the cumulant generating function. Qualitative aspects of this…

Strongly Correlated Electrons · Physics 2016-09-21 Matthew Z. Mayers , Mark S. Hybertsen , David R. Reichman