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We present an efficient algorithm for one- and two-component relativistic exact-decoupling calculations. Spin-orbit coupling is thus taken into account for the evaluation of relativistically transformed (one-electron) Hamiltonian. As the…

Chemical Physics · Physics 2013-05-10 Daoling Peng , Nils Middendorf , Florian Weigend , Markus Reiher

A variational solution procedure is reported for the many-particle no-pair Dirac-Coulomb-Breit Hamiltonian aiming at a parts-per-billion (ppb) convergence of the atomic and molecular energies, described within the fixed nuclei…

Quantum Physics · Physics 2024-06-19 Péter Jeszenszki , Dávid Ferenc , Edit Mátyus

Accurately treating strong electron correlation in quantum chemistry typically requires multireference wave-function methods with steep computational scaling. The recently proposed i-DMFT method promises near configuration-interaction…

Chemical Physics · Physics 2026-04-23 Paul G. Graf , Florian Matz , Lexin Ding , Julia Liebert , Markus Penz , Christian Schilling

Electron-phonon interactions are of great importance to a variety of physical phenomena, and their accurate description is an important goal for first-principles calculations. Isolated examples of materials and molecular systems have…

Materials Science · Physics 2024-03-14 Antonios M. Alvertis , David B. Williams-Young , Fabien Bruneval , Jeffrey B. Neaton

In principle, many-electron correlation energy can be precisely computed from a reduced Wigner distribution function ($\mathcal{W}$) thanks to a universal functional transformation ($\mathcal{F}$), whose formal existence is akin to that of…

Chemical Physics · Physics 2019-01-23 Rutvij Vihang Bhavsar , Raghunathan Ramakrishnan

Combining the density functional theory (DFT) and the Gutzwiller variational approach, a LDA+Gutzwiller method is developed to treat the correlated electron systems from {\it ab-initio}. All variational parameters are self-consistently…

Strongly Correlated Electrons · Physics 2009-11-13 XiaoYu Deng , Xi Dai , Zhong Fang

We propose here a single Pfaffian correlated variational ansatz, that dramatically improves the accuracy with respect to the single determinant one, while remaining at a similar computational cost. A much larger correlation energy is indeed…

Chemical Physics · Physics 2020-07-28 Claudio Genovese , Tomonori Shirakawa , Kousuke Nakano , Sandro Sorella

While the treatment of chemically relevant systems containing hundreds or even thousands of electrons remains beyond the reach of quantum devices, the development of quantum-classical hybrid algorithms to resolve electronic correlation…

In principle, the Luttinger-Ward Green's function formalism allows one to compute simultaneously the total energy and the quasiparticle band structure of a many-body electronic system from first principles. We present approximate and exact…

Materials Science · Physics 2015-05-18 Sohrab Ismail-Beigi

We investigate the accuracy of a number of wavefunction based methods at the heart of quantum chemistry for metallic systems. Using Hartree-Fock as a reference, perturbative (M{\o}ller-Plesset, MP) and coupled cluster (CC) theories are used…

Chemical Physics · Physics 2013-10-24 James J. Shepherd , Andreas Grüneis

We study the accuracy of analytical wave function based many-body methods derived by energy minimization of a Jastrow-Feenberg ansatz for electrons (`Fermi hypernetted chain / Euler Lagrange' approach). Approximations to avoid the…

Other Condensed Matter · Physics 2019-06-05 Martin Panholzer , Raphael Hobbiger , Helga Böhm

Accurate treatment of the electronic correlation in inhomogeneous electronic systems, combined with the ability to capture the correlation energy of the homogeneous electron gas, allows to reach high predictive power in the application of…

Strongly Correlated Electrons · Physics 2010-06-22 E. Rasanen , S. Pittalis , C. R. Proetto

We apply two ab initio many-body methods based on Gutzwiller wave functions, i.e., correlation matrix renormalization theory (CMRT) and Gutzwiller conjugate gradient minimization (GCGM), to the study of crystalline phases of atomic…

Strongly Correlated Electrons · Physics 2025-10-06 Zhuo Ye , Jun Liu , Yong-Xin Yao , Feng Zhang , Kai-Ming Ho , Cai-Zhuang Wang

The Colle and Salvetti approach [Theoret. Chim. Acta, 37, 329 (1975)] to the calculation of the correlation energy of a system is modified in order to explicitly include into the theory the kinetic contribution to the correlation energy.…

Materials Science · Physics 2007-05-23 Sebastien Ragot , Pietro Cortona

We review a recent proposal of a first principles approach to the electronic structure of materials with strong electronic correlations. The scheme combines the GW method with dynamical mean field theory, which enables one to treat strong…

Strongly Correlated Electrons · Physics 2007-05-23 Silke Biermann , Ferdi Aryasetiawan , Antoine Georges

The author suggests an approach based on the separation of total energy of multielectron systems into the semi-classical Coulomb part and the non-classical additional part. This approach allows on the one hand to simplify calculations and…

Atomic Physics · Physics 2008-11-04 Vadim Kavera

We have formulated and implemented a fully charge-self-consistent density functional theory plus dynamical mean field theory methodology which enables an efficient calculation of the total energy of realistic correlated electron systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

The quantitative description of correlated electron materials remains a modern computational challenge. We demonstrate a numerical strategy to simulate correlated materials at the fully ab initio level beyond the solution of effective…

Superconductivity · Physics 2022-09-19 Zhi-Hao Cui , Huanchen Zhai , Xing Zhang , Garnet Kin-Lic Chan

We derive and implement symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations and apply them to the molecular electronic structure problem. All symmetries (particle number, spin, spatial, and complex conjugation) are deliberately…

Strongly Correlated Electrons · Physics 2012-02-15 Gustavo E. Scuseria , Carlos A. Jimenez-Hoyos , Thomas M. Henderson , Kousik Samanta , Jason K. Ellis

We present a practical and accurate density functional for the exchange-correlation energy of electrons in two dimensions. The exchange part is based on a recent two-dimensional generalized-gradient approximation derived by considering the…

Strongly Correlated Electrons · Physics 2010-06-30 E. Rasanen , S. Pittalis , J. G. Vilhena , M. A. L. Marques
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