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Related papers: Screening in orbital-density-dependent functionals

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A new non-perturbative framework for many-body correlated systems is formulated by extending the operator projection method (OPM). This method offers a systematic expansion which enables us to project into the low-energy structure after…

Strongly Correlated Electrons · Physics 2009-10-31 Shigeki Onoda , Masatoshi Imada

We decompose the energy error of any variational DFT calculation into a contribution due to the approximate functional and that due to the approximate density. Typically, the functional error dominates, but in many interesting situations,…

Chemical Physics · Physics 2015-06-12 Min-Cheol Kim , Eunji Sim , Kieron Burke

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

A computationally efficient Green's function approach is developed to evaluate the optical properties of nanostructures using a GW formalism applied on top of a tight-binding and mean-field Hubbard model. The use of the GW approximation…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

Accurately describing many-body effects in multi-orbital systems remains a major challenge in theoretical condensed matter physics. At present, there is a significant methodological gap between the numerical tools used in ab initio…

Strongly Correlated Electrons · Physics 2025-12-16 Evgeny A. Stepanov

Despite the success of deep learning methods in quantum chemistry, their representational capacity is most often confined to neutral, closed-shell molecules. However, real-world chemical systems often exhibit complex characteristics,…

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

Strongly Correlated Electrons · Physics 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari

The particle-hole interaction problem is longstanding within time-dependent density functional theory (TDDFT) and leads to extreme errors in the prediction of K-edge X-ray absorption spectra (XAS). We derive a linear-response formalism that…

Chemical Physics · Physics 2022-10-18 Kevin Carter-Fenk , Leonardo A. Cunha , Juan E. Arias-Martinez , Martin Head-Gordon

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

Strongly Correlated Electrons · Physics 2014-08-05 Katharina Boguslawski , Paweł Tecmer , Paul W. Ayers , Patrick Bultinck , Stijn De Baerdemacker , Dimitri Van Neck

Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory. They can be obtained by iterating a set of functional differential equations…

Strongly Correlated Electrons · Physics 2012-01-31 Giovanna Lani , Pina Romaniello , Lucia Reining

We present an approach based on density-functional theory for the calculation of fundamental gaps of both finite and periodic two-dimensional (2D) electronic systems. The computational cost of our approach is comparable to that of total…

Materials Science · Physics 2021-08-11 Alberto Guandalini , Alice Ruini , Esa Räsänen , Carlo Andrea Rozzi , Stefano Pittalis

We apply the dynamical mean field theory (DMFT) in the iterative perturbation theory(IPT) to doubly degenerate eg bands and triply degenerate tg bands on a simple cubic lattice and calculate the spectrum and optical conductivity in…

Strongly Correlated Electrons · Physics 2008-09-25 Oki Miura , Takeo Fujiwara

The electron repulsion integrals over the Slater-type orbitals with non-integer principal quantum numbers are considered. These integrals are useful in both non-relativistic and relativistic calculations of many-electron systems. They…

Quantum Physics · Physics 2023-01-05 A. Bağcı , Gustavo A. Aucar

By means of Dynamical Mean-Field Theory we investigate the spin response function of a model for correlated materials with d- or f-electrons hybridized with more delocalized ligand orbitals. We point out the existence of two different…

Strongly Correlated Electrons · Physics 2013-10-14 A. Amaricci , N. Parragh , M. Capone , G. Sangiovanni

Local density approximation (LDA) to the density functional theory (DFT) has continuous derivative of total energy as a number of electrons function and continuous exchange-correlation potential, while in exact DFT both should be…

Strongly Correlated Electrons · Physics 2010-06-28 V. I. Anisimov , A. V. Kozhevnikov , M. A. Korotin , A. V. Lukoyanov , D. A. Khafizullin

We consider the application of Koopman theory to nonlinear partial differential equations. We demonstrate that the observables chosen for constructing the Koopman operator are critical for enabling an accurate approximation to the nonlinear…

Pattern Formation and Solitons · Physics 2016-07-26 J. Nathan Kutz , Joshua L. Proctor , Steven L. Brunton

An explicit expression for the quadratic density-response function of a many-electron system is obtained in the framework of the time-dependent density-functional theory, in terms of the linear and quadratic density-response functions of…

Materials Science · Physics 2009-11-10 V. U. Nazarov , J. M. Pitarke , C. S. Kim , Y. Takada

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

The accurate prediction of electronic response properties of extended molecular systems has been a challenge for conventional, explicit density functionals. We demonstrate that a self-interaction correction implemented rigorously within…

Materials Science · Physics 2009-11-13 T. Körzdörfer , M. Mundt , S. Kümmel

It is shown here that Kohn-Sham equations cannot be derived from Hohenberg-Kohn theory without an additional postulate. Assuming that a functional derivative with respect to total electron density exists leads in general to a theory…

Condensed Matter · Physics 2007-05-23 R. K. Nesbet
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