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We argue that, because of the quantum-entanglement, the local physics of the strongly-correlated materials at zero temperature is described in very good approximation by a simple generalized Gibbs distribution, which depends on a relatively…

Strongly Correlated Electrons · Physics 2017-02-22 Nicola Lanatà , Hugo U. R. Strand , Yongxin Yao , Gabriel Kotliar

We integrate the all-electron electronic structure code FHI-aims into the general ChemShell package for solid-state embedding (QM/MM) calculations. A major undertaking in this integration is the implementation of pseudopotential…

We develop a method to fit high-temperature Gibbs free energy data for the development of interatomic potentials for atomic systems. The approach is based on Hamiltonian thermodynamic integration, enabling the identification of suitable…

Materials Science · Physics 2026-03-04 Liangrui Wei , Yang Sun

We present a variational estimate for the binding energy of a Frenkel exciton in the insulating cuprate superconductors. Starting from the three band Hubbard model we perform a canonical transformation to O($t^2$), where $t$ is the bare…

Condensed Matter · Physics 2016-08-31 C. Vermeulen , W. Barford

Natural orbital functional (NOF) theory offers a promising approach for studying strongly correlated systems at an affordable computational cost, with an accuracy comparable to highly demanding wavefunction-based methods. However, its…

Strongly Correlated Electrons · Physics 2025-01-31 Juan Felipe Huan Lew-Yee , Jorge M. del Campo , Mario Piris

The energy minimization involved in density functional calculations of electronic systems can be carried out using an exponential transformation that preserves the orthonormality of the orbitals. The energy of the system is then represented…

Computational Physics · Physics 2022-11-09 Aleksei V. Ivanov , Elvar Ö. Jónsson , Tejs Vegge , Hannes Jónsson

We derive an exact expression for the orbital magnetization of electrons with short-range interactions (such as density-density interactions) in terms of exact zero-frequency response functions of the zero-field system. The result applies…

Strongly Correlated Electrons · Physics 2026-02-03 Xi Chen , Zhi-Da Song

We study the impact parameter dependence of solutions to the Balitsky-Kovchegov (BK) equation. We argue that if the kernel of the BK integral equation is regulated to cutoff infrared singularities, then it can be approximated by an equation…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Ikeda , L. McLerran

Localized orbitals are important for modeling and interpreting complicated electronic structures of atoms and molecules in a chemically meaningful way. Here, we present the parameter-free procedure for transforming delocalized molecular…

Chemical Physics · Physics 2018-04-12 Tymofii Yu. Nikolaienko , Leonid A. Bulavin

This paper derives and demonstrates a new, purely density-based ab initio approach for calculation of the energies and properties of many-electron systems. It is based upon the discovery of relationships that govern the "mechanics" of the…

Chemical Physics · Physics 2024-09-04 James C. Ellenbogen

Nonlocal kinetic energy density functionals (KEDFs) with density-dependent kernels are currently the most accurate functionals available for orbital-free density functional theory (OF-DFT) calculations. However, despite advances in…

Materials Science · Physics 2024-12-05 Yongshuo Chen , Cheng Ma , Boning Cui , Tian Cui , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

Density functional calculations of Rydberg excited states up to high energy are carried out for several molecules using an approach where the orbitals are variationally optimized by converging on saddle points on the electronic energy…

The uniform electron gas and the hydrogen atom play fundamental roles in condensed matter physics and quantum chemistry. The former has an infinite number of electrons uniformly distributed over the neutralizing positively-charged…

Chemical Physics · Physics 2016-06-22 Jianwei Sun , John P. Perdew , Zenghui Yang , Haowei Peng

Accurate local Kohn-Sham potentials have been constructed for the ground $1s^2 ^1S$ state and, in particular, for the lowest triplet $1s2s ^{3}S$ state of the helium atom, using electron densities from many-body calculations and the…

Atomic Physics · Physics 2016-08-16 I. Lindgren , S. Salomonson , F. Möller

Koopmans-compliant functionals emerge naturally from extending the constraint of piecewise linearity of the total energy as a function of the number of electrons to each fractional orbital occupation. When applied to approximate…

Materials Science · Physics 2015-06-19 Giovanni Borghi , Andrea Ferretti , Ngoc Linh Nguyen , Ismaila Dabo , Nicola Marzari

For the family of model soft Coulomb potentials represented by V(r) = -\frac{Z}{(r^q+\beta^q)^{\frac{1}{q}}}, with the parameters Z>0, \beta>0, q \ge 1, it is shown analytically that the potentials and eigenvalues, E_{\nu\ell}, are…

Mathematical Physics · Physics 2015-05-13 Richard L. Hall , Nasser Saad , K. D. Sen , Hakan Ciftci

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The model relies on…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Alessandro Nagar , Alice Bonino , Piero Rettegno

The accuracy of charge-transfer excitation energies, solvatochromic shifts and other environmental effects calculated via various density embedding techniques depend critically on the approximations employed for the non-additive…

Chemical Physics · Physics 2020-02-04 Kaili Jiang , Martín A. Mosquera , Yan Oueis , Adam Wasserman

Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the…

Nuclear Theory · Physics 2019-04-24 M. Burrows , Ch. Elster , S. P. Weppner , K. D. Launey , P. Maris , A. Nogga , G. Popa

For the description of an H2 molecule an effective one-electron model potential is proposed which is fully determined by the exact ionization potential of the H2 molecule. In order to test the model potential and examine its properties it…

Chemical Physics · Physics 2009-11-13 Armin Lühr , Yulian V. Vanne , Alejandro Saenz
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