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A nonequilibrium Green's functions (NEGF) approach for spatially inhomogeneous, strongly correlated artificial atoms is presented and applied to compute the time-dependent properties while starting from a (correlated) initial few-electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K Balzer , M Bonitz

Natural orbital theory is a computationally useful approach to the few and many-body quantum problem. While natural orbitals are known and applied since many years in electronic structure applications, their potential for time-dependent…

Atomic Physics · Physics 2014-10-08 J. Rapp , M. Brics , D. Bauer

It can be argued that electron correlation, as a concept, deserves the same prominence in general chemistry as molecular orbital theory. We show how it acts as Nature's "chemical glue" at both the molecular and supramolecular levels.…

Chemical Physics · Physics 2022-01-10 Jan M. L. Martin

Ab initio calculations of nuclei face the challenge of simultaneously describing strong short-range internucleon correlations and the long-range properties of weakly-bound halo nucleons. Natural orbitals, which diagonalize the one-body…

Nuclear Theory · Physics 2018-02-07 Ch. Constantinou , M. A. Caprio , J. P. Vary , P. Maris

In dynamical mean-field theory, the correlations between electrons are assumed to be purely local. The dual fermion approach provides a systematic way of adding non-local corrections to the dynamical mean-field theory starting point.…

Strongly Correlated Electrons · Physics 2021-01-27 Erik G. C. P. van Loon

Accurate modeling of gravitational interactions is fundamental to the analysis, prediction, and control of space systems. While the Newtonian point-mass approximation suffices for many preliminary studies, real celestial bodies exhibit…

Earth and Planetary Astrophysics · Physics 2026-01-27 Felipe Arenas-Uribe

We calculate correlation functions of exactly-solvable one-dimensional flat-band models by utilizing the "molecular-orbital" representation. The models considered in this paper have a gapped ground state with flat-band being fully occupied,…

Strongly Correlated Electrons · Physics 2022-03-23 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

We deduce a model relevant for the description of the ferromagnetic half-metal Chromium dioxide ($CrO_{2}$), widely used in magnetic recording technology. The model describes the effect of dynamical, local orbital correlations arising from…

Strongly Correlated Electrons · Physics 2009-11-07 M. S. Laad , L. Craco , E. Müller-Hartmann

Non-equilibrium Green's Function (NGF) method is a powerful tool for studying the evolution of quantum many-body systems. Different types of correlations can be systematically incorporated within the formalism. The time evolution of the…

Nuclear Theory · Physics 2018-01-17 M. H. Mahzoon , P. Danielewicz , A. Rios

Atomic orbitals underpin our understanding of electronic structure, providing intuitive descriptions of bonding, charge transfer, magnetism, and correlation effects. Despite their utility, an atomic basis that is adaptable, strictly…

Materials Science · Physics 2026-04-07 Emily Oliphant , Emmanouil Kioupakis , Wenhao Sun

The analytic energy gradients in the atomic orbital representation have recently been published (J. Chem. Phys. 146, 014102, 2017) within the framework of the natural orbital functional theory (NOFT). We provide here an alternative…

Chemical Physics · Physics 2018-02-19 Ion Mitxelena , Mario Piris

The influence of correlation effects on the orbital moments for transition metals and their alloys is studied by first-principle relativistic Density Functional Theory in combination with the Dynamical Mean-Field Theory. In contrast to the…

Strongly Correlated Electrons · Physics 2009-11-13 S. Chadov , J. Minár , M. I. Katsnelson , H. Ebert , D. Ködderitzsch , A. I. Lichtenstein

We analyze the nuclear matter correlation properties in terms of the pair correlation function. To this aim we systematically compare the results for the variational method in the Lowest Order Constrained Variational (LOCV) approximation…

Nuclear Theory · Physics 2015-06-11 M. Baldo , H. R. Moshfegh

Low-scaling electron correlation theory based on the pair natural orbital approximation, PNO-CCSD(T), has become a powerful computational tool. Motivated by the recent discovery of large errors for organometallic molecules, we assess the…

Chemical Physics · Physics 2023-10-10 Reka A. Horvath , Kesha Sorathia , Isabelle Saint , David P. Tew

In pursuit of a minimal basis for systems with non-ideal bond angles, in this work we try to pinpoint the exact orientation of the major overlapping orbitals along the nearest neighbouring coordination segments in a given system such that…

Materials Science · Physics 2022-09-14 Joydev De , Sujith N S , Manoar Hossain , Joydeep Bhattacharjee

The $\Delta$NO two-electron density matrix (2-RDM) and energy expression are derived from a multideterminantal wave function. The approximate $\Delta$NO 2-RDM is combined with an on-top density functional and a double-counting correction to…

Chemical Physics · Physics 2022-03-14 Ismael A. Elayan , Rishabh Gupta , Joshua W. Hollett

The nuclear-electronic orbital (NEO) method is a well-established approach for treating nuclei quantum mechanically in molecular systems beyond the usual Born-Oppenheimer approximation. In this work, we present a strategy to implement the…

Computational Physics · Physics 2022-06-29 Jianhang Xu , Ruiyi Zhou , Zhen Tao , Christopher Malbon , Volker Blum , Sharon Hammes-Schiffer , Yosuke Kanai

Non-orthogonal configuration interaction (NOCI) is a generalization of the standard orthogonal configuration interaction (CI) method and offers a highly flexible framework for describing ground and excited electronic states. However, this…

Chemical Physics · Physics 2024-12-24 Daniel Graf , Alex J. W. Thom

We present an all-electron, periodic {\GnWn} implementation within the numerical atomic orbital (NAO) basis framework. A localized variant of the resolution-of-the-identity (RI) approximation is employed to significantly reduce the…

Materials Science · Physics 2021-02-03 Xinguo Ren , Florian Merz , Hong Jiang , Yi Yao , Markus Rampp , Hermann Lederer , Volker Blum , Matthias Scheffler

We introduce natural atomic orbitals as the local projector to define the correlated subspace for DFT + DMFT (density functional theory plus dynamical mean-field theory) calculation. The natural atomic orbitals are found to be stably…

Strongly Correlated Electrons · Physics 2020-01-01 Jae-Hoon Sim , Myung Joon Han